https://www.asc.tuwien.ac.at/~schoeberl/wiki/api.php?action=feedcontributions&user=Schoeberl&feedformat=atomWiki - User contributions [en]2024-03-29T09:28:39ZUser contributionsMediaWiki 1.28.0https://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3235Theses2022-01-18T10:09:06Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Lukas Kogler:<br />
* Michael Leumüller<br />
* Xaver Mooslechner<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Tobias Danczul, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/19205 Model Order Reduction for Fractional Diffusion Problems]<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger, 2020<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/16370 Mapped Tent Pitching schemes for hyperbolic systems]<br />
<br />
* Dr. Philip Lederer, 2018<br />
*: Thesis [https://repositum.tuwien.at/handle/20.500.12708/5335 A Mass conserving mixed stress formulation for incompressible flows]<br />
<br />
* Dr. Gerhard Kitzler, 2016<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/3574 A high order discontinuous Galerkin method for the Boltzmann equation]<br />
<br />
* Dr. Martin Huber, 2013<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/9976 Hybrid discontinuous Galerkin methods for the wave equation]<br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3223Theses2021-12-07T06:28:32Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Lukas Kogler:<br />
* Michael Leumüller<br />
* Xaver Mooslechner<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Tobias Danczul, 2021<br />
*: Thesis: Model Order Reduction for Fractional Diffusion Problems<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger, 2020<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/16370 Mapped Tent Pitching schemes for hyperbolic systems]<br />
<br />
* Dr. Philip Lederer, 2018<br />
*: Thesis [https://repositum.tuwien.at/handle/20.500.12708/5335 A Mass conserving mixed stress formulation for incompressible flows]<br />
<br />
* Dr. Gerhard Kitzler, 2016<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/3574 A high order discontinuous Galerkin method for the Boltzmann equation]<br />
<br />
* Dr. Martin Huber, 2013<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/9976 Hybrid discontinuous Galerkin methods for the wave equation]<br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3222Theses2021-12-03T17:14:18Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Lukas Kogler:<br />
* Michael Leumüller<br />
* Xaver Mooslechner<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger, 2020<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/16370 Mapped Tent Pitching schemes for hyperbolic systems]<br />
<br />
* Dr. Philip Lederer, 2018<br />
*: Thesis [https://repositum.tuwien.at/handle/20.500.12708/5335 A Mass conserving mixed stress formulation for incompressible flows]<br />
<br />
* Dr. Gerhard Kitzler, 2016<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/3574 A high order discontinuous Galerkin method for the Boltzmann equation]<br />
<br />
* Dr. Martin Huber, 2013<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/9976 Hybrid discontinuous Galerkin methods for the wave equation]<br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Former_members&diff=3221Former members2021-12-03T17:12:55Z<p>Schoeberl: </p>
<hr />
<div>Former Members of CME<br />
<br />
<br />
[[Christoph_wintersteiger|Christoph Wintersteiger]]<br />
<br />
[[Bernard_Kapidani|Bernard Kapidani]]<br />
<br />
[[Markus_Wess|Markus Wess]]<br />
<br />
[[Gerhard_Kitzler|Gerhard Kitzler]]<br />
<br />
[[Elankumaran_Kaliyaperumal|K. Elankumaran]]<br />
<br />
[[Daniel_Feldengut|Daniel Feldengut]]<br />
<br />
[[Antti_Hannukainen|Prof. Antti Hannukainen]]<br />
<br />
[[Martin_Huber|Martin Huber]]<br />
<br />
[[Christoph_Lehrenfeld|Prof. Christoph Lehrenfeld]]<br />
<br />
[[Martin_Halla|Martin Halla]]<br />
<br />
[[Anna_Zechner|Anna Zechner]]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Former_members&diff=3220Former members2021-12-03T17:12:45Z<p>Schoeberl: </p>
<hr />
<div>Former Members of CME<br />
<br />
<br />
[[Christoph_wintersteiger|Christoph Wintersteiger]]<br />
<br />
[[Bernard_Kapidani|Bernard Kapidani]]<br />
<br />
[[Markus_Wess|Markus Wess]]<br />
<br />
[[Gerhard_Kitzler|Gerhard Kitzler]]<br />
<br />
[[Elankumaran_Kaliyaperumal|K. Elankumaran]]<br />
<br />
[[Daniel_Feldengut|Daniel Feldengut]]<br />
<br />
[[Antti_Hannukainen|Prof. Antti Hannukainen]]<br />
<br />
[[Martin_Huber|Martin Huber]]<br />
<br />
[[Christoph_Lehrenfeld|Christoph Lehrenfeld]]<br />
<br />
[[Martin_Halla|Martin Halla]]<br />
<br />
[[Anna_Zechner|Anna Zechner]]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3219Theses2021-12-03T17:12:20Z<p>Schoeberl: /* Ongoing PhD Projects */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Lukas Kogler:<br />
* Michael Leumüller<br />
* Xaver Mooslechner<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger, 2020<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/16370 Mapped Tent Pitching schemes for hyperbolic systems]<br />
<br />
* Dr. Philip Lederer, 2018<br />
*: Thesis [https://repositum.tuwien.at/handle/20.500.12708/5335 A Mass conserving mixed stress formulation for incompressible flows]<br />
<br />
* Dr. Gerhard Kitzler, 2016<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/3574, A high order discontinuous Galerkin method for the Boltzmann equation]<br />
<br />
* Dr. Martin Huber, 2013<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/9976, Hybrid discontinuous Galerkin methods for the wave equation]<br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3218Theses2021-12-03T17:11:23Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Martin Huber: ''Hybrid DG Methods for the Wave Equation''<br />
* Gerhard Kitzler: ''Transparent boundary conditions for Elasticity''<br />
* Elankumaran: ''Numerical Simulation of Ion Channels''<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger, 2020<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/16370 Mapped Tent Pitching schemes for hyperbolic systems]<br />
<br />
* Dr. Philip Lederer, 2018<br />
*: Thesis [https://repositum.tuwien.at/handle/20.500.12708/5335 A Mass conserving mixed stress formulation for incompressible flows]<br />
<br />
* Dr. Gerhard Kitzler, 2016<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/3574, A high order discontinuous Galerkin method for the Boltzmann equation]<br />
<br />
* Dr. Martin Huber, 2013<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/9976, Hybrid discontinuous Galerkin methods for the wave equation]<br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3217Theses2021-12-03T17:10:04Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Martin Huber: ''Hybrid DG Methods for the Wave Equation''<br />
* Gerhard Kitzler: ''Transparent boundary conditions for Elasticity''<br />
* Elankumaran: ''Numerical Simulation of Ion Channels''<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger, 2020<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/16370 Mapped Tent Pitching schemes for hyperbolic systems]<br />
<br />
* Dr. Gerhard Kitzler, 2016<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/3574, A high order discontinuous Galerkin method for the Boltzmann equation]<br />
<br />
* Dr. Martin Huber, 2013<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/9976, Hybrid discontinuous Galerkin methods for the wave equation]<br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3216Theses2021-12-03T17:09:21Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Martin Huber: ''Hybrid DG Methods for the Wave Equation''<br />
* Gerhard Kitzler: ''Transparent boundary conditions for Elasticity''<br />
* Elankumaran: ''Numerical Simulation of Ion Channels''<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger, 2020<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/16370 Mapped Tent Pitching schemes for hyperbolic systems]<br />
<br />
* Dr. Gerhard Kitzler, 2016<br />
*; Thesis: [https://repositum.tuwien.at/handle/20.500.12708/3574, A high order discontinuous Galerkin method for the Boltzmann equation]<br />
<br />
* Dr. Martin Huber, 2013<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/9976, Hybrid discontinuous Galerkin methods for the wave equation]<br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3215Theses2021-12-03T17:04:54Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Martin Huber: ''Hybrid DG Methods for the Wave Equation''<br />
* Gerhard Kitzler: ''Transparent boundary conditions for Elasticity''<br />
* Elankumaran: ''Numerical Simulation of Ion Channels''<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
*: Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger<br />
* Thesis: <br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3214Theses2021-12-03T17:04:38Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Martin Huber: ''Hybrid DG Methods for the Wave Equation''<br />
* Gerhard Kitzler: ''Transparent boundary conditions for Elasticity''<br />
* Elankumaran: ''Numerical Simulation of Ion Channels''<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Michael Neunteufel, 2021<br />
* Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 Mixed finite element methods for nonlinear continuum mechanics and shells]<br />
<br />
* Dr. Christoph Wintersteiger<br />
* Thesis: <br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Theses&diff=3213Theses2021-12-03T17:04:16Z<p>Schoeberl: /* Supervised PhD Students */</p>
<hr />
<div>__NOTOC__<br />
=== New Bachelor/Master/Diploma/PhD Topics ===<br />
<br />
There are topics available. If you like computational math, step by and we'll find a topic for you. Some proposals are<br />
* Coupled field simulation of flow sensors (with [http://endress.com Endress+Hauser])<br />
* Implementation of finite elements on GPUs<br />
* Discontinuous Galerkin methods for semiconductor equations (drift diffusion)<br />
* Computational geometry and mesh generation (with [http://www.mtu.de/en/ MTU aero engines, Munich])<br />
<br />
<br />
=== Ongoing PhD Projects ===<br />
<br />
* Martin Huber: ''Hybrid DG Methods for the Wave Equation''<br />
* Gerhard Kitzler: ''Transparent boundary conditions for Elasticity''<br />
* Elankumaran: ''Numerical Simulation of Ion Channels''<br />
<br />
=== Supervised PhD Students ===<br />
<br />
* Dr. Michael Neunteufel<br />
* Thesis: [https://repositum.tuwien.at/handle/20.500.12708/17043 abc]<br />
<br />
* Dr. Christoph Wintersteiger<br />
* Thesis: <br />
<br />
* Dr. Astrid Sinwel, 2009 [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae]<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/sinwel A New Family of Mixed Finite Elements for Elasticity] <br><br />
*: now at [http://www.lcm.at/php/StaffShowDetail.php?name=sinwel_astrid&dept=unit4&language=de Linz Center of Mechatronics]<br />
<br />
* Dr. Veronika Pillwein, 2008<br />
*: Thesis: [http://www.risc.uni-linz.ac.at/publications/download/risc_3428/vpthesis.pdf Computer Algebra Tools for Special Functions in High Order Finite Element Methods] <br><br />
*: now at [http://www.risc.uni-linz.ac.at/home/vpillwei JKU Linz, Austria] <br />
<br />
* Dr. Sabine Zaglmayr, 2006 <br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/zaglmayr High Order Finite Elements for Electromagnetic Field Computation]<br />
*: now at [http://www.numerik.math.tu-graz.ac.at/~zaglmayr/home.htm TU Graz, Austria]<br />
<br />
=== Supervised Diploma Students: ===<br />
<br />
* Dipl.-Ing. Daniel Feldengut, 2011<br />
*: Mathematik @ RWTH Aachen<br />
*: Thesis: A Non-Matching Domain Decomposition Method for Maxwell's Equations [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Feldengut.pdf pdf]<br />
<br />
* Dipl.-Ing. Chistoph Lehrenfeld, 2010<br />
*: Computational Engineering Science @ RWTH Aachen<br />
*: Thesis: Hybrid Discontinuous Galerkin methods for solving incompressible flow problems [http://www.asc.tuwien.ac.at/~schoeberl/wiki/thesis/DA_Lehrenfeld.pdf pdf]<br />
<br />
* Dipl.-Ing. Larissa Vorhauer, 2007<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/vorhauer Numerical Simulation of Electrohydrodynamical Problems] <br><br />
*: now with [http://www.lcm.at/php/StaffShowDetail.php?name=aigner_larissa&dept=unit4&language=en Linz Center of Mechatronics]<br />
<br />
* Dipl.-Ing. Maria Rechberger, 2005<br />
*: Thesis: [http://www.numa.uni-linz.ac.at/Teaching/Diplom/Finished/rechberger Numerical Methods for the Simulation of Acoustic Resonances] <br><br />
*: now with [http://www.ecs.steyr.com/|Engineering Center Steyr, Austria]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Joachim_Sch%C3%B6berl&diff=3200Joachim Schöberl2021-09-30T05:26:57Z<p>Schoeberl: </p>
<hr />
<div> __NOTOC__<br />
{| cellpadding="6" cellspacing="0" <br />
|-<br />
| <html> <img src="http://www.asc.tuwien.ac.at/~schoeberl/wiki/joachim1.jpg"> </html> <br />
| &nbsp;<br />
| rowspan=2 valign="center" |<br />
<br />
==== Address ====<br />
<br />
Institute of Analysis and Scientific Computing <br><br />
Wiedner Hauptstrasse 8-10 <br><br />
1040 Wien, Austria <br />
<br />
tel: +43 1 58801 10128 <br><br />
email: [mailto:joachim.schoeberl@tuwien.ac.atNOSPAMPLEASE joachim.schoeberl@tuwien.ac.at]<br />
|-<br />
|}<br />
<br />
<br />
==== Short curriculum vitae ====<br />
born on May 28, 1972 in Steyr, Austria <br><br />
married to Elsa Boxrucker, daughter Hannah (2003) and son Paul (2006), some [[joachim:private|family pictures]] <br><br />
studied Technische Mathematik at the [http://www.jku.at Johannes Kepler University Linz], Austria <br><br />
PhD in Applied Mathematics 1999, [http://de.wikipedia.org/wiki/Sub_auspiciis Promotio sub auspiciis Praesidentis rei publicae], JKU Linz <br><br />
<br />
1996-2002 research fellow at the [http://www.numa.uni-linz.ac.at Institute of Computational Mathematics], JKU Linz <br><br />
2000-2001 Visiting Assistant Professor, [http://www.tamu.edu Texas A&M University], [http://www.math.tamu.edu Department of Mathematics] <br><br />
2002-2004 Self-employed in FWF - Start Project [http://www.hpfem.jku.at ''hp-FEM''] <br><br />
2004-2006 Senior Postdoc at Johann Radon Institute for Computational and Applied Mathematiks (<br />
[http://www.ricam.oeaw.ac.at RICAM]), Linz <br><br />
2006-2010 Professor (W2) for [http://www.mathcces.rwth-aachen.de/doku.php/staff/schoeberl Scientific Computing], [http://www.rwth-aachen.de RWTH Aachen University] <br><br />
2007-2009 W3-offers to Univ Duisburg-Essen, FU-Berlin, and RWTH-Aachen <br><br />
2010-now Professor at the Institute for Analysis and Scientific Computing at Vienna University of Technology <br><br />
<br />
==== Research Interests ====<br />
<br />
Numerical methods, Finite elements, Iterative solvers, High order methods, Mixed methods, <br><br />
Electrodynamics, Structural mechanics, Fluid dynamics, <br><br />
Object oriented software design<br />
<br />
==== Publications ====<br />
[[publications|publications]] <br><br />
[[talks|talks]] <br><br />
[[Lecture_Notes|lecture notes]]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Main_Page&diff=3199Main Page2021-09-30T05:26:19Z<p>Schoeberl: </p>
<hr />
<div>__NOTOC__ {{DISPLAYTITLE: Computational Mathematics in Engineering}}<br />
<br />
We perform research on mathematical algorithms required to treat modern engineering challenges. <br />
The focus is on numerical methods such as the finite element method to solve field problems in computational solid mechanics, computational fluid dynamics, and computational electromagnetics. <br />
We care about the development of new algorithms, a detailed theoretical understanding of the methods, and the efficient implementation on modern computer architectures.<br />
<br />
<br />
The Research Group is part of the [http://www.asc.tuwien.ac.at Institute of Analysis and Scientific Computing], [https://tiss.tuwien.ac.at/adressbuch/adressbuch/fakultaet/1562 Fakultät für Mathematik und Geoinformation], at [http://www.tuwien.ac.at Vienna University of Technology].<br />
<br />
<br />
=== Head of the Group === <br />
<br />
[[Joachim_Schöberl|Prof. Dr. Joachim Schöberl]]<br />
<br />
=== Secretary ===<br />
<br />
Brigitte Ecker <br><br />
email: [mailto:brigitte.ecker@tuwien.ac.at brigitte.ecker@tuwien.ac.at] <br><br />
tel: +43 1 58801 10117<br />
<br />
Manuela Khaladj <br><br />
email: [mailto:mkhaladj@mail.zserv.tuwien.ac.at mkhaladj@mail.zserv.tuwien.ac.at] <br><br />
tel: +43 1 58801 10101<br />
<br />
==== Postal Address ====<br />
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Wiedner Hauptstrasse 8-10 <br><br />
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Austria<br />
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==== How to find us ====<br />
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Vienna TU is located next to Karlsplatz <br />
( <br />
[http://www.wienerlinien.at/media/files/2009/u_bahn_cityplan_10966.pdf Vienna city map] <br />
[http://www.wienerlinien.at/media/files/2008/SVP_Deutsch_3288.pdf subway map],<br />
)<br />
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Our institute is in the Freihaus, which is building (D) on that <br />
[http://www.asc.tuwien.ac.at/~schoeberl/wiki/tu_plan.pdf map]<br />
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Please enter next to [5], Lehrmittelzentrum<br />
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We sit in the green area, on the 3rd floor</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Students&diff=3173Students2021-08-19T16:47:30Z<p>Schoeberl: /* Students */</p>
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<div>Former Members of CME<br />
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[[Christoph_wintersteiger|Christoph Wintersteiger]]<br />
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[[Bernard_Kapidani|Bernard Kapidani]]<br />
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[[Markus_Wess|Markus Wess]]<br />
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[[Gerhard_Kitzler|Gerhard Kitzler]]<br />
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[[Elankumaran_Kaliyaperumal|K. Elankumaran]]<br />
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[[Daniel_Feldengut|Daniel Feldengut]]<br />
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[[Antti_Hannukainen|Prof. Antti Hannukainen]]<br />
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[[Martin_Huber|Dr. Martin Huber]]<br />
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[[Christoph_Lehrenfeld|Christoph Lehrenfeld]]<br />
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[[Martin_Halla|Martin Halla]]<br />
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[[Anna_Zechner|Anna Zechner]]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Former_members&diff=3170Former members2021-08-19T15:28:14Z<p>Schoeberl: </p>
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<div>Former Members of CME<br />
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[[Gerhard_Kitzler|Gerhard Kitzler]]<br />
[[Markus_Wess|Markus Wess]]<br />
[[Christoph_wintersteiger|Christoph Wintersteiger]]<br />
<br />
<br />
[[Elankumaran_Kaliyaperumal|K. Elankumaran]]<br />
<br />
[[Daniel_Feldengut|Daniel Feldengut]]<br />
<br />
[[Antti_Hannukainen|Prof. Antti Hannukainen]]<br />
<br />
[[Martin_Huber|Dr. Martin Huber]]<br />
<br />
[[Christoph_Lehrenfeld|Christoph Lehrenfeld]]<br />
<br />
[[Martin_Halla|Martin Halla]]<br />
<br />
[[Anna_Zechner|Anna Zechner]]</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=MediaWiki:Sidebar&diff=3169MediaWiki:Sidebar2021-08-19T15:27:14Z<p>Schoeberl: </p>
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** Michael_Neunteufel|Michael Neunteufel<br />
<br />
** Tobias_Danczul|Tobias Danczul<br />
** Valentin_Hanser|Valentin Hanser<br />
** Matthias_Hochsteger|Matthias Hochsteger<br />
** Lukas_Kogler|Lukas Kogler<br />
** Michael_Leumüller|Michael Leumüller<br />
** Christopher Lackner|Christopher Lackner<br />
** Xaver_Mooslechner|Xaver Mooslechner<br />
** Markus_Schöbinger|Markus Schöbinger<br />
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* SEARCH</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3118Publications2021-03-01T09:45:28Z<p>Schoeberl: /* Journal publications */</p>
<hr />
<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# Lukas Kogler, Joachim Schöberl, "An algebraic multigrid method based on an auxiliary topology with edge matrices", [https://arxiv.org/abs/2011.13325 arXiv:2011.13325]<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
# D. Melching, M. Neunteufel, J. Schöberl and U. Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials" [https://doi.org/10.1016/j.cma.2020.113571 CMAME 374 (2021), 113571] (preprint: [https://arxiv.org/abs/2005.04965 arXiv:2005.04965])<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", [https://www.sciencedirect.com/science/article/pii/S004578252030709X?via%3Dihub CMAME 373 (2021), 113524] [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029] In: Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 134, pp. 359-369, 2020<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
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* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3117Publications2021-03-01T09:43:48Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# Lukas Kogler, Joachim Schöberl, "An algebraic multigrid method based on an auxiliary topology with edge matrices", [https://arxiv.org/abs/2011.13325 arXiv:2011.13325]<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
# D. Melching, M. Neunteufel, J. Schöberl and U. Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials" [https://doi.org/10.1016/j.cma.2020.113571 CMAME 374 (2021), 113571] (preprint: [https://arxiv.org/abs/2005.04965 arXiv:2005.04965])<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029] In: Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 134, pp. 359-369, 2020<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3115Publications2021-02-10T18:16:55Z<p>Schoeberl: /* Journal publications */</p>
<hr />
<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# Lukas Kogler, Joachim Schöberl, "An algebraic multigrid method based on an auxiliary topology with edge matrices", [https://arxiv.org/abs/2011.13325 arXiv:2011.13325]<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
# D. Melching, M. Neunteufel, J. Schöberl and U. Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials" [https://doi.org/10.1016/j.cma.2020.113571 CMAME 374 (2021), 113571] (preprint: [https://arxiv.org/abs/2005.04965 arXiv:2005.04965])<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029] In: Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 134, pp. 359-369, 2020<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
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* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3114Publications2021-02-10T18:15:57Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# Lukas Kogler, Joachim Schöberl, "An algebraic multigrid method based on an auxiliary topology with edge matrices", [https://arxiv.org/abs/2011.13325 arXiv:2011.13325]<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
# D. Melching, M. Neunteufel, J. Schöberl and U. Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials" [https://doi.org/10.1016/j.cma.2020.113571 CMAME 374 (2021), 113571] (preprint: [https://arxiv.org/abs/2005.04965])<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029] In: Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 134, pp. 359-369, 2020<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
<br />
==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3113Publications2021-02-10T18:12:16Z<p>Schoeberl: /* Journal publications */</p>
<hr />
<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# Lukas Kogler, Joachim Schöberl, "An algebraic multigrid method based on an auxiliary topology with edge matrices", [https://arxiv.org/abs/2011.13325 arXiv:2011.13325]<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
# D. Melching, M. Neunteufel, J. Schöberl and U. Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials" [https://doi.org/10.1016/j.cma.2020.113571 CMAME] (preprint: [https://arxiv.org/abs/2005.04965])<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029] In: Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 134, pp. 359-369, 2020<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3106Publications2021-01-28T05:57:36Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# Lukas Kogler, Joachim Schöberl, "An algebraic multigrid method based on an auxiliary topology with edge matrices", [https://arxiv.org/abs/2011.13325 arXiv:2011.13325]<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029] In: Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 134, pp. 359-369, 2020<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
<br />
==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3102Publications2020-11-30T08:31:47Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# Lukas Kogler, Joachim Schöberl, "An algebraic multigrid method based on an auxiliary topology with edge matrices", [https://arxiv.org/abs/2011.13325 arXiv:2011.13325]<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029] In: Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 134, pp. 359-369, 2020<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3089Publications2020-09-30T07:17:59Z<p>Schoeberl: </p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029] In: Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 134, pp. 359-369, 2020<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
<br />
==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
<br />
==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3088Publications2020-09-30T07:13:20Z<p>Schoeberl: /* Journal publications */</p>
<hr />
<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3087Publications2020-09-30T07:13:11Z<p>Schoeberl: </p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360], to appear in Computers and Structures<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783], to appear in Structural and Multidisciplinary Optimization<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243], to appear in SN Partial Differential Equations and Applications.<br />
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#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3086Publications2020-09-30T07:03:23Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff, "A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3085Publications2020-09-30T07:03:14Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff,<br />
"A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
<br />
==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3084Publications2020-09-30T07:03:08Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# Adam Chejanovsky, Michael Neunteufel, Ingo Münch, Joachim Schoeberl, Patrizio Neff,<br />
"A hybrid H1xH(curl) finite element formulation for a planar relaxed micromorphic continuum", [https://arxiv.org/abs/2009.13397 arXiv:2009.13397]<br />
# Michael Neunteufel, Astrid Pechstein, Joachim Schöberl, "Three-field mixed finite element methods for nonlinear elasticity", [https://arxiv.org/abs/2009.03928 arXiv:2009.03928]<br />
<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
<br />
==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3051Publications2020-06-19T12:20:50Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. 121(11) 2503-2533 (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3050Publications2020-06-19T12:19:04Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators II", (submitted 2020) [https://arxiv.org/abs/2005.03574 arXiv:2005.03574]<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3047Publications2020-06-12T08:43:49Z<p>Schoeberl: /* Technical Reports */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
<br />
==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", TR 99-3 of the SFB F013, "Numerical and Symbolic Scientific Computing", [http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3046Publications2020-06-12T08:42:34Z<p>Schoeberl: /* Technical Reports */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
# J. Schöberl: "Multigrid Methods for a Class of Parameter Dependent Problems in Primal Variables", <br />
[http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-03.ps.gz preprint]<br />
<br />
==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3037Publications2020-05-20T06:24:59Z<p>Schoeberl: /* Recent work */</p>
<hr />
<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/abs/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/abs/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/abs/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3036Publications2020-05-20T06:24:25Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/pdf/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/pdf/2005.04965 arXiv:2005.04965] <br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/pdf/arXiv:2004.08323 arXiv:2004.08323]<br />
# P Gangl, K Sturm, M Neunteufel, J Schöberl, "Fully and Semi-Automated Shape Differentiation in NGSolve", [https://arxiv.org/abs/2004.06783 arXiv:2004.06783]<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3035Publications2020-05-20T06:22:39Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems", [https://arxiv.org/pdf/arXiv:2004.08323 arXiv:2004.08323]<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/pdf/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/pdf/2005.04965 arXiv:2005.04965] <br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
<br />
==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
<br />
==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3034Publications2020-05-20T06:22:29Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# J Gedicke, S Geevers, I Perugia, J Schöberl, "A polynomial-degree-robust a posteriori error estimator for N\'ed\'elec discretizations of magnetostatic problems",<br />
[https://arxiv.org/pdf/arXiv:2004.08323 arXiv:2004.08323]<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/pdf/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/pdf/2005.04965 arXiv:2005.04965] <br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
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* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3033Publications2020-05-20T06:21:04Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/pdf/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/pdf/2005.04965 arXiv:2005.04965] <br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal 40(2), 2020, 951-975, online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
<br />
==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3032Publications2020-05-20T06:19:06Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/pdf/2005.06360 arXiv:2005.06360] <br />
# D Melching, M Neunteufel, J Schöberl, U Stefanelli, "A finite-strain model for incomplete damage in elastoplastic materials", [https://arxiv.org/pdf/2005.04965 arXiv:2005.04965] <br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
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* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3031Publications2020-05-20T06:17:53Z<p>Schoeberl: /* Recent work */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# M Neunteufel, J Schöberl, "Fluid-structure interaction with H(div)-conforming finite elements", [https://arxiv.org/pdf/2005.06360 arXiv:2005.06360] <br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3024Publications2020-03-11T09:01:58Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
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* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3023Publications2020-03-11T05:53:34Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# O. Biro, D. Lowther, P. Alotto, K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [https://www.emerald.com/insight/content/doi/10.1108/COMPEL-02-2015-0090/full/html link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
<br />
==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
<br />
==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3022Publications2020-03-11T05:52:36Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# O. Biro, D. Lowther, P. Alotto, K. Hollaus, J. Schöberl, "Multi-scale FEM and magnetic vector potential A for 3D eddy currents in laminated media", Compel 34(5), 2015, 1598-1608, [www.emeraldinsight.com/0332-1649.htm link] <br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
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* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3021Publications2020-03-11T05:42:55Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
<br />
==== Recent work ====<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2016) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik 133(1), 103-139 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
<br />
==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
<br />
==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3020Publications2020-03-11T05:40:22Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2015) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik, 2015 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, 123(3), (2013) pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
<br />
==== Thesis ====<br />
<br />
* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
<br />
the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3019Publications2020-03-11T05:39:13Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
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==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME), 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2015) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik, 2015 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, Vol 123(3), pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
# ...<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
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* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberlhttps://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php?title=Publications&diff=3018Publications2020-03-11T05:38:01Z<p>Schoeberl: /* Journal publications */</p>
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<div>__NOTITLE__ __NOTOC__<br />
= Publications of the Resarch Group =<br />
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==== Recent work ====<br />
# B. Kapidani, J. Schöberl, "A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains", [https://arxiv.org/abs/2002.08733 arXiv:2002.08733] <br />
# B. Kapidani, L. Codecasa, J. Schöberl, "An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations", [https://arxiv.org/abs/2001.07544 arXiv:2001.07544]<br />
# J. Gopalakrishnan, J. Schöberl, C. Wintersteiger, "Structure aware Runge-Kutta time stepping for spacetime tents", [https://arxiv.org/abs/2002.12243 arXiv:2002.12243]<br />
# J. Gopalakrishnan, M. Hochsteger, J. Schöberl, C. Wintersteiger, "An Explicit Mapped Tent Pitching Scheme for Maxwell Equations", [https://arxiv.org/abs/1906.11029 arXiv:1906.11029]<br />
#T. Danczul and J. Schöberl, "A Reduced Basis Method for Fractional Diffusion Operators I", (submitted 2019) [https://arxiv.org/abs/1904.05599 arXiv:1904.05599]<br />
# M. Neunteufel and J. Schöberl, "Avoiding Membrane Locking with Regge Interpolation", (submitted 2019) [https://arxiv.org/abs/1907.06232 arXiv:1907.06232]<br />
# G. Kitzler, J. Schöberl: "A spatial discontinuous Galerkin method with rescaled velocities for the Boltzmann equation", (submitted 2019) [https://arxiv.org/abs/1903.01904 arXiv:1903.01904]<br />
<br />
==== Journal publications ====<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])<br />
# K Hollaus, J. Schöberl, M. Schöbinger, "MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores", IEEE Trans. Magn. 56(2) (2020) 7508104, [https://ieeexplore.ieee.org/document/8955920 link] <br />
#I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger, "Tent pitching and Trefftz-DG method for the acoustic wave equation", Computers & Mathematics with Applications (2020), online, [https://doi.org/10.1016/j.camwa.2020.01.006 link]<br />
#S. Holzinger, J. Schöberl, J. Gerstmayr, "The equations of motion for a rigid body using non-redundant unified local velocity coordinates", Multibody Syst. Dyn 48 (2020), 283-309, [https://doi.org/10.1007/s11044-019-09700-5 link]<br />
# C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N.J.Mauser, D. Praetorius, "Computational micromagnetics with Commics", Computer Physics Communication 248, 106965 (2020) [https://doi.org/10.1016/j.cpc.2019.106965 link], [https://arxiv.org/abs/1812.05931 arXiv:1812.05931]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis 58(1), 706-732 (2020) [https://epubs.siam.org/doi/10.1137/19M1248960 link] [https://arxiv.org/abs/1901.04648 arXiv:1901.04648]<br />
# P.W. Schröder, V. John, P.L. Lederer, C. Lehrenfeld, G. Lube, J. Schöberl, "On reference solutions and the sensitivit of the 2D Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications 77 (2019), 1010-1028 [https://doi.org/10.1016/j.camwa.2018.10.030 link], [https://arxiv.org/abs/1803.06893 arXiv:1803.06893] <br />
# M. Schöbinger, S. Steentjes, J. Schöberl, K. Hameyer, K. Hollaus, "MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis", IEEE Trans. Magn. 55(8) (2019) 7300809 [https://doi.org/10.1109/TMAG.2019.2907894 link] <br />
# G. Kitzler, J. Schöberl, "A polynomial spectral method for the spatially homogeneous Boltzmann equation", SIAM J. Sci. Comp (2019), B27-B49, [https://arxiv.org/abs/1902.05789 arXiv:1902.05789]<br />
# D. Braess, A.S. Pechstein and J. Schöberl, "An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods", IMA J. Numer. Anal (2019), online [https://doi.org/10.1093/imanum/drz005 link], [https://arxiv.org/abs/1705.07607 arXiv:1705.07607]<br />
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis (to appear) [https://arxiv.org/abs/1806.07173 arXiv:1806.07173]<br />
# M. Neunteufel and J. Schöberl, "The Hellan-Herrmann-Johnson Method for Nonlinear Shells", Computers & Structures 225 (2019), 106109, [https://arxiv.org/abs/1904.04714 arXiv:1904.04714]<br />
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik 142 (2019), 713-748 [http://arxiv.org/abs/1712.01625 arXiv:1712.01625]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM: Mathematical Modelling and Numerical Analysis 53(2019), 503-522 [https://doi.org/10.1051/m2an/2018054 link] [https://arxiv.org/abs/1805.06787 arXiv:1805.06787]<br />
#P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis 56(4), 2018, 2070-2094 [https://doi.org/10.1137/17M1138078 link] [https://arxiv.org/abs/1707.02782 arXiv:1707.02782]<br />
# P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis 38(4), 2018, 1832-1860, [https://doi.org/10.1093/imanum/drx051 link], [https://arxiv.org/abs/1612.01482 arXiv:1612.01482]<br />
# A.S. Pechstein and J. Schöberl, "An analysis of the TDNNS method using natural norms", J. Numer. Math. 139(1), 93-120 (2018). https://link.springer.com/article/10.1007/s00211-017-0933-3, https://arxiv.org/abs/1606.06853<br />
#M. Schöbinger, J. Schöberl, K. Hollaus, "Multiscale FEM for the linear 2-D/1-D problem of eddy currents in thin iron sheets", IEEE Trans. Magn. 55 (2018),7400212 [https://doi.org/10.1109/TMAG.2018.2879030 link] <br />
#P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis, Vol. 55(3), pp. 1291-1314(2017) [https://arxiv.org/abs/1609.03701 arXiv:1609.03701]<br />
# A.S. Pechstein and J. Schöberl, "The TDNNS method for Reissner-Mindlin plates", J. Numer. Math. (2017) 137, pp 713-740, https://arxiv.org/abs/1704.03649<br />
#J. Gopalakrishnan and J. Schöberl and C. Wintersteiger, "Mapped tent pitching schemes for hyperbolic systems", SIAM J. Sci. Comput. 39-6 (2017), pp. B1043-B1063 [http://arxiv.org/abs/1604.01081 arXiv:1604.01081]<br />
#C. Lehrenfeld, J. Schöberl, "High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows", Comp Meth in Applied Mechanics and Engineering (CMAME),, 307:339 -- 361, 2016, ASC Report No. 27/2015, ASC, TU Wien, 2015, [http://www.asc.tuwien.ac.at/preprint/2015/asc27x2015.pdf pdf]<br />
# G. Kitzler, J. Schöberl: ''A high order space momentum discontinuous Galerkin method for the Boltzmann equation'', Computers & Mathematics with Applications, Volume 70, Issue 7, October 2015, Pages 1539-1554 [http://www.asc.tuwien.ac.at/preprint/2014/asc28x2014.pdf ASC-preprint]<br />
# CH. Brennecke, A. Linke, Ch. Merdon, J. Schöberl, Optimal and pressure-independent L2 velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions, J. Comput. Math., 33 (2015) pp. 191--208.<br />
# Halla, M., Hohage, T., Nannen, L., Schöberl, J. (2015) Hardy Space Infinite Elements for Time Harmonic Wave Equations with Phase and Group Velocities of Different Signs. Numerische Mathematik, 2015 [http://dx.doi.org/10.1007/s00211-015-0739-0 online].<br />
# M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Tureci, G. Strasse, K. Unterrainer, S. Rotter (2014) ''Reversing the pump dependence of a laser at an exceptional point'', Nature Communications, Vol 5, article nr 4034, Jun 2014 [http://www.nature.com/ncomms/2014/140613/ncomms5034/pdf/ncomms5034.pdf link]<br />
# I. Sakalli, J. Schöberl, and E.W. Knapp: ''mFES: A Robust Molecular Finite Element Solver for Electrostatic Energy Computations'', Journal of Chemical Theory and Computation JCTC, Vol 10, pp 5095-5112, 2014, [http://pubs.acs.org/action/doSearch?AllField=&Title=&Contrib=sakalli&Abstract=&CaptionSpan=&x=0&y=0&publication=40026032&pubDateRange=Earliest&AfterYear=&AfterMonth=&BeforeYear=&BeforeMonth= link]<br />
# K.-A. Mardal, J. Schöberl and R. Winther: ''A uniformly stable Fortin operator for the Taylor–Hood element'', Numerische Mathematik, Vol 123(3), pp 537-551 [http://heim.ifi.uio.no/~rwinther/m-s-winther.pdf preprint] <br />
# Nannen, L. , Hohage, T. , Schädle, A., Schöberl. J. ''Exact Sequences of High Order Hardy Space Infinite Elements for Exterior Maxwell Problems'', SIAM J. Scientific Computing, 35(2): A1024-A1048, 2013, [http://dx.doi.org/10.1137/110860148 online], [http://arxiv.org/abs/1103.2288 arxiv], [http://num.math.uni-goettingen.de/nannen/downloads/Paper/Maxwell_short.pdf extended abstract].<br />
# A. Pechstein, J. Schöberl: ''Anisotropic mixed finite elements for elasticity'', International Journal for Numerical Methods in Engineering, Vol 90(2), pp 196-217 (2012) [http:DOI:10.1002/nme.3319 doi], [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisotropic_TDNNS.pdf preprint] <br />
# A. Balan, G. May and J. Schöberl: ''A Stable High-Order Spectral Difference Method for Hyperbolic Conservation Laws in Triangular Elements.'', Journal of Computational Physics, Vol 231(5), 2359-2375 (2012) DOI: 10.1016/j.jcp.2011.11.041<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part III.'' Mathematics of Computation, Vol. 81 (2012), 1289-1326, DOI: 10.1090/S0025-5718-2011-02536-6,[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHdiv.pdf preprint] <br />
# A. Pechstein, J. Schöberl: ''Tangential-Displacement and Normal-Normal-Stress Continuous Mixed Finite Elements for Elasticity.'' Mathematical Models and Methods in Applied Sciences (M3AS) Vol 21(8), pp 1761-1782 (2011) DOI: 10.1142/S0218202511005568 [http://www.ricam.oeaw.ac.at/publications/reports extended preprint]<br />
# J. Schöberl, R. Simon, W. Zulehner: ''A Robust Multigrid Method for Elliptic Optimal Control Problems.'' [http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i4/p1482_s1 SIAM J Numerical Analysis] Vol 49(4), pp 1482-1503 (2011) DOI: 10.1137/100783285 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MGOpt.pdf preprint]] <br />
# A Hannukainen, M. Huber and J. Schöberl: ''A Mixed Hybrid Finite Element Method for the Helmholtz Equation.'' Journal of Modern Optics Vol. 58, Nos. 5-6, 424-437 (2011) DOI: 10.1080/09500340.2010.527067 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MHHelmholtz.pdf preprint]<br />
# H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmlayr: ''Adjoint based sampling methods for electromagnetic scattering.'' Inverse Problems 26 (2010) [http://iopscience.iop.org/0266-5611/26/7/074006/ 074006] [http://math.uni-graz.at/mobis/publications/SFB-Report-2009-080.pdf preprint]<br />
# P. Monk, J. Schöberl, A. Sinwel: ''Hybridizing Raviart-Thomas elements for the Helmholtz equation.'' [http://dx.doi.org/10.1080/02726340903485414 Electromagnetics], Vol 30(1), pages 149-176 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hybridHelmholtz.pdf preprint] <br />
# H. Egger, J. Schöberl: ''A Mixed-Hybrid-Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.'' [http://imajna.oxfordjournals.org/content/30/4/1206.full.pdf+html IMA Journal of Numerical Analysis], Vol 30(4), 1206-1234 (2010) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/MixedHybridDG.pdf preprint] <br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part II.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=5 SIAM J Numerical Analysis], Vol 47(5), pages 3293-3324 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperHcurl.pdf preprint] <br />
# R.H.W. Hoppe, J. Schöberl: ''Convergence of Adaptive Edge Element Methods for the 3D Eddy Current Equations.'' [http://www.global-sci.org/jcm/ Journal of Computational Mathematics], Vol 27, pages 657-676 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/afem_hcurl.pdf preprint] <br />
# J. Schöberl, R. Stenberg: ''Multigrid Methods for Stabilized Reissner Mindlin Plate Formulations.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=47&Issue=4 SIAM J Numerical Analysis], Vol 47(4), pages 2735-2751 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mg-rs.pdf preprint] <br />
# D. Braess, J. Schöberl, V. Pillwein: ''Equilibrated Residual Error Estimates are p-Robust.'' [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V29-4V9S32R-3&_user=103677&_coverDate=03%2F01%2F2009&_rdoc=7&_fmt=high&_orig=browse&_srch=doc-info(%23toc%235697%232009%23998019986%23941094%23FLA%23display%23Volume)&_cdi=5697&_sort=d&_docanchor=&_ct=15&_acct=C000007978&_version=1&_urlVersion=0&_userid=103677&md5=5515a64ecdcfb8143025e94c5ca6baad Computer Methods in Applied Mechanics and Engineering], Vol 198, pages 1189-1197 (2009) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ho_equilibrated.pdf preprint] <br />
# M. Huber, J. Schöberl, A. Sinwel, S. Zaglmayr: ''Simulation of Diffraction in periodic Media with a coupled Finite Element and Plane Wave Approach'' [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000031000002001500000001&idtype=cvips&gifs=yes SIAM J Scientific Computing], 31(2), pages 1500-1517, 2009, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/grating_rep.pdf preprint]<br />
# L. Demkowicz, J. Gopalakrishnan, J. Schöberl: ''Polynomial Extension Operators. Part I.'' [http://scitation.aip.org/sinum SIAM J Numerical Analysis], Vol 46(6), 3006-3031, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/paperH1.pdf preprint]<br />
# D. Braess, R.H.W. Hoppe, J. Schöberl: ''A posteriori estimators for obstacle problems by the hypercircle method '' [http://www.springerlink.com/content/j7336u25v600/?sortorder=asc&p_o=10 Computing and Visualization in Science] , 11(4-6), pages 351-362, 2008. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hyperob.pdf preprint] <br />
# D. Braess and J. Schöberl: ''Equilibrated Residual Error Estimator for Maxwell's Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 651-672, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/equilibrated.pdf preprint]<br />
# J. Schöberl: ''A posteriori error estimates for Maxwell Equations.'' [http://www.ams.org/journals/mcom/2008-77-262/ Mathematics of Computation], Vol 77(262), 633-649, 2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxwellee.pdf preprint]<br />
# J. Schöberl, J. Melenk, C. Pechstein, and S. Zaglmayr: ''Additive Schwarz Preconditioning for p-Version Triangular and Tetrahedral Finite Elements'' [http://imajna.oxfordjournals.org/cgi/content/abstract/drl046v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=Melenk&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT IMA Journal of Numerical Analysis], Vol 28, pages 1-24,2008 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/pversion_asm_rep.pdf preprint]<br />
# M. Schinnerl, M. Kaltenbacher, U. Langer, R. Lerch, and J. Schöberl. ''Numerical Simulation of Magneto-Mechanical Sensors and Actuators.'' [http://journals.cambridge.org/action/displayIssue?jid=EJM&volumeId=18&issueId=02 Surveys on Mathematics for Industry], 18(2), 223-271, 2007} [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''Symmetric Indefinite Preconditioners for saddle Point Problems with Applications to PDE-Constrained Optimization Problems.'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJMAEL&Volume=29&Issue=3 SIAM Journal on Matrix Analysis and Applications], Vol 29(3), pages 752-773, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/sz_optpde.pdf preprint] <br />
# S. Hein, T. Hohage, W. Koch, and J. Schöberl: ''Acoustic Resonacnes in a High Lift Configuration.'' [http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=582&issueId=-1 Journal of Fluid Mechanics] 582, pages 179-202, 2007 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/resonances.pdf preprint]<br />
# A. Becirovic, P. Paule, V. Pillwein, A. Riese, C. Schneider, and J.Schöberl: ''Hypergeometric Summation Algorithms for High-order Finite Elements.'' [http://www.springerlink.com/content/uq02812p2w75/?p=eaa4e29021344514aa1f100478e32a1a&pi=0 Computing], 78(3), pages 235-249, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/hypergeometric.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''New shape functions for triangular p-FEM using integrated Jacobi polynomials'' [http://springerlink.com/content/m6785617w104/?p=c5e9b05f46bd4ec99bea4c16f937a418&pi=0 Numerische Mathematik] 103(3), pages 339-366, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/trigshapes.pdf preprint]<br />
# D. Boffi, F. Kikuchi, and J. Schöberl: ''Edge element computation of Maxwell's eigenvalues on general quadrilateral meshes.'' [http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:m3as&type=all Mathematical Models and Methods in Applied Sciences] 16:265-273, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/bks.pdf preprint]<br />
# C. Carstensen and J. Schöberl: ''Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method.'' [http://www.springerlink.com/content/v54165v857t8/?p=6a0ca1bba3c740c08b269844ba9ad64f&pi=18 Numerische Mathematik] 103(2), pages 225-250, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ccjs.pdf preprint]<br />
# J. Gerstmayr and J. Schöberl: ''A 3D finite element method for flexible multibody systems.'' [http://www.springerlink.com/content/l857362735g1/?p=95957557f3ec4358b6059c1fe427b232&pi=10 Multibody System Dynamics], 15, pages 309-324, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multibody.pdf preprint]<br />
# M. Hofer, N. Finger, G. Kovacs, J. Schöberl, S. Zaglmayr, U. Langer, and R. Lerch: ''Finite Element Simulation of Wave Propagation in Periodic Piezoelectric SAW Structures.'' [http://www.ieee-uffc.org/main/publications/tr/toc.asp?vol=53&iss=06 IEEE Transactions on UFFC], 53(6), pages 1192-1201, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/transuffc.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Efficient Solvers for Nonlinear Time-Periodic Eddy Current Problems.'' [http://www.springerlink.com/content/vw6500103442/?p=ed060a415d2641f6ae17733008ae5e1d&pi=0 Computing and Visualization in Science], 9(4), pages 197-207, 2006 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic2.pdf preprint] <br />
# J. Schöberl and S. Zaglmayr: ''High order Nedelec elements with local complete sequence properties.'' [http://www.emeraldinsight.com/Insight/viewContainer.do;jsessionid=9DBE7CE8B4CBC340A760D4D52630BB1C?containerType=Issue&containerId=22482 International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL)], 24(2), pages 374-384, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/compel.pdf preprint]<br />
# F. Bachinger, U. Langer, and J. Schöberl: ''Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems.'' [http://springerlink.com/content/p51127563412/?p=2df0f815d4d44d2a85b52a08c4e57e1a&pi=0 Numerische Mathematik.] 100(4), pages 594-616, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/multiharmonic1.pdf preprint]<br />
# S. Beuchler and J. Schöberl: ''Optimal extensions on tensor-product meshes.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235616%232005%23999459996%23599253%23FLP%23&_cdi=5616&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=721a2f6780a1d2c19130fbd427807bce Applied Numerical Mathematics] 54(3-4), pages 391-405, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/tensorextension.pdf preprint]<br />
# Z. Dostal and J. Schöberl: ''Minimizing quadratic functions over non-negative cone with the rate of convergence and finite termination.'' [http://www.springerlink.com/content/h3205r31w322/?p=6ee180047253438a91becfd22fb0a994&pi=0 Computational Optimization and Applications] 30(1), pages 23-44, 2005 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/zdjs.pdf preprint]<br />
# R.D. Lazarov, J.E. Pasciak, J. Schöberl, and P.S. Vassilevski: ''Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.'' [http://www.springerlink.com/content/vw5v31n2acrh/?p=084f7745f66745cfa0fc2fbf4388a931&pi=46 Numerische Mathematik] 96, pages 295-315, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/intpenalty.pdf preprint]<br />
# J. Schöberl and W. Zulehner: ''On Schwarz-type Smoothers for Saddle Point Problems.'' [http://springerlink.com/content/kyujfxf6gygt/?p=4cf3107458c54bcf93b61a3ead166132&pi=0 Numerische Mathematik] 95(2), pages 377-399, 2003 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/vanka.pdf preprint]<br />
# S. Reitzinger and J. Schöberl: ''Algebraic Multigrid for Edge Elements.'' [http://www3.interscience.wiley.com/cgi-bin/jissue/90512111 Numerical Linear Algebra with Applications] 9(3), pages 223-238, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgeamg.pdf preprint]<br />
# M. Schinnerl, J. Schöberl, M. Kaltenbacher, and R. Lerch: ''Multigrid Methods for the 3D Simulation of Nonlinear Magneto-Mechanical Systems.'' [http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=2002&isnumber=21560&Submit32=Go+To+Issue IEEE Transactions Magnetics] 38(3), pages 1497-1511, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/magmech.pdf preprint]<br />
# T. Apel and J. Schöberl: ''Multigrid Methods for Anisotropic Edge Refinement'' [http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=40&Issue=5 SIAM Journal on Numerical Analyis] 40(5), pages 1993-2006, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/edgemg.pdf preprint]<br />
# B. Kaltenbacher and J. Schöberl: ''A Saddle Point Variational Formulation for Projection-Regularized Parameter Identification.'' [http://www.springerlink.com/content/9qhw9c5uvx1b/?p=7f648bc1439a464a872565614f6ca306&pi=64 Numerische Mathematik] 91(4), pages 675-697, 2002 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/parident.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''A non-conforming finite element method with anisotropic mesh grading for the Stokes problem in domains with edges.'' [http://imajna.oxfordjournals.org/content/vol21/issue4/index.dtl IMA Journal of Numerical Analysis] 21, pages 843-856, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisostokes.pdf preprint]<br />
# T. Apel, S. Nicaise, and J. Schöberl: ''Crouzeix-Raviart type finite elements on anisotropic meshes.'' [http://www.springerlink.com/content/q7k1dranftjw/?p=8e779ab25d414cf2845afbe292687fad&pi=74 Numerische Mathematik] 89(2), pages 193-223, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/anisolaplace.pdf preprint]<br />
# J. Schöberl: ''Efficient Contact Solvers Based on Domain Decomposition Techniques.'' [http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235620%232001%23999579991%23267010%23FLP%23&_cdi=5620&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=0b62f5356d6d6aa0ea56329ff039b9e6 Computers & Mathematics with Applications] 42, pages 1217-1228, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elcontact.pdf preprint]<br />
# G. Haase, U. Langer, S. Reitzinger, and J. Schöberl: ''Algebraic Multigrid Methods based on Element Preconditioning.'' [http://www.informaworld.com/smpp/title~content=g771005323~db=all International Journal of Computer Mathematics] 78(4): pages 676-598, 2001 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/elementamg.pdf preprint]<br />
# J. Schöberl: ''Multigrid Methods for a Parameter Dependent Problem in Primal Variables.'' [http://springerlink.com/content/ltr016tymtxn/?p=0cad14cb9d5541c08d6be07506ce2920&pi=95 Numerische Mathematik ], 84(1), pages 97-119 (1999) [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/nim.pdf preprint]<br />
# J. Schöberl: ''Solving the Signorini Problem on the Basis of Domain Decomposition Techniques.'' [http://www.springerlink.com/content/j02428x24657/?p=19fb6947a2f54033aaaeeb5fadebd5e3&pi=73 Computing], 60(4), pages 323-344, 1998. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/signorini.pdf preprint]<br />
# J. Schöberl: ''NETGEN - An advancing front 2D/3D-mesh generator based on abstract rules.'' [http://www.springerlink.com/content/a1evc9ngn1ec/?p=001d645aa3b24c3aac803577074afb8e&pi=34 Computing and Visualization in Science], 1(1), pages 41-52, 1997. [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/netgen.pdf preprint]<br />
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==== Proceedings and Book Chapters ====<br />
# J. Gopalakrishnan, J. Schöberl: ''Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method', Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, 106 (2015), 257-265 [https://doi.org/10.1007/978-3-319-19800-2_22 link] [http://web.pdx.edu/~gjay/pub/schwarzdpg.pdf pdf]<br />
# M. Huber, A. Pechstein, J. Schöberl: ''Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation'', Domain Decomposition Methods in Science and Engineering XXI (2014), 351-358 [https://link.springer.com/chapter/10.1007/978-3-319-05789-7_32 link] [http://publik.tuwien.ac.at/showentry.php?ID=197053&lang=1 ASC Report 15/2011]<br />
# L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl: ''Quasi-uniformity of BDDC Methods for the MITC Reissner-Mindlin problem'', (2013), Domain Decomposition Methods in Science and Engineering XX, 639-646 [https://link.springer.com/chapter/10.1007/978-3-642-35275-1_76 link] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/PlateDD_plus.pdf preprint]<br />
# J. Schöberl, C. Lehrenfeld: ''Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes'',[http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/DDHDG.pdf preprint] p 27-56 Advanced Finite Element Methods and Applications, Lecture Notes in Applied and Computational Mechanics 66, 2012 <br />
#K. Hollaus, J. Schöberl, "Homogenization of the Eddy Current Problem in 2D," Proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering, pp. 154-159, Graz, Austria, September 19-22, 2010. [http://www.asc.tuwien.ac.at/~khollaus/Publications/Paper_Hollaus_Homogenization_IGTE2010.pdf preprint]<br />
# P.G. Gruber, J. Kienesberger, U. Langer, J. Schöberl, J. Valdman: ''Fast Solvers and A Posteriori Error Estimates in Elastoplasticity.'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 45-64. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/Numa-report-2009-15.pdf preprint]<br />
# S. Beuchler, V. Pillwein, J. Schöberl and S. Zaglmayr: ''Sparsity optimized high order finite element functions on simplices'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 21-44. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/SFBBuch.pdf preprint]<br />
# C Koutschan, C Lehrenfeld, J. Schöberl: ''Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations'' in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer and Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, ISBN-13: 978-3709107935 [http://arxiv.org/abs/1104.4208 arxiv:1104.4208]<br />
# A. Balan, G. May and J. Schöberl: ''A Stable Spectral Difference Method for Triangles'', AIAA paper number 2011-47, 49th American Institute of Aeronautics and Astronautics Aerospace Sciences Meeting, Orlando, Florida, January 2011 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AIAA-2011-47.pdf preprint] <br />
# K. Hollaus, D. Feldengut, J. Schöberl, M. Wabro, D. Omeragic: ''Nitsche-type Mortaring for Maxwell's Equations'' PIERS Proceedings, 397 - 402, July 5-8, Cambridge, USA 2010 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/maxnitsche.pdf preprint] <br />
# J. Schöberl: ''A multilevel decomposition result in H(curl).'' in Multigrid, Multilevel and Multiscale Methods, EMG 2005 CD, Eds: P. Wesseling, C.W. Oosterlee, P. Hemker, ISBN 90-9020969-7, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/mlhcurl.pdf preprint]<br />
# S. Zaglmayr, J. Schöberl, and U. Langer: ''Eigenvalue Problems in Surface Acoustic Wave Filter Simulation.'' Progress in Industrial Mathematics at ECMI 2004, pp. 75-99, Springer Verlag, Nov. 2005, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/saw-ecmi.pdf preprint]<br />
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==== Technical Reports ====<br />
# G. Kitzler, J. Schöberl: ''A polynomial spectral method for the spatially homogenous Boltzmann equation in 3 dimension'', ASC Report 28/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2017 [http://www.asc.tuwien.ac.at/preprint/2017/asc28x2017.pdf pdf] <br/><br />
# J. Schöberl: "C++11 Implementation of Finite Elements in NGSolve", ASC Report 30/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/ngs-cpp11.pdf preprint]<br />
# J. Schöberl: ''Commuting quasi-interpolation operators for mixed finite elements.'' Preprint ISC-01-10-MATH, [http://isc.tamu.edu Institute for Scientific Computing], Texas A&M University, 2001, [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/commuting.pdf pdf]<br />
# G. May, J. Schöberl: ''Analysis of a Spectral Difference Scheme with Flux Interpolation on Raviart-Thomas Elements'', [http://www.aices.rwth-aachen.de/research/preprints AICES report 2010/04-8] [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/AICES-2010-04-08.pdf preprint]<br />
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==== Thesis ====<br />
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* J. Schöberl: ''Robust Multigrid Methods for Parameter Dependent Problems'', Dissertation, Johannes Kepler Universität Linz, 1999 [http://www.asc.tuwien.ac.at/~schoeberl/wiki/publications/diss.pdf pdf]<br />
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the linked pdf-files are preprint versions and may differ from the original journal publications</div>Schoeberl