Research
Home
Members
Presentations
Publications
Members
DI Michael Feischl
DI Thomas Führer
Prof Dirk Praetorius
HILBERT
about HILBERT
Download
Newsletter
Team

Scientific Publications

2000200120022003200420052006200720082009
20102011201220132014201520162017all

2017

Articles

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements, Numer. Methods Partial Differential Equations, 33 (2017), 603-632. [abstract] [www] [preprint]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations, Calcolo, 54 (2017), 367-399. [abstract] [www] [preprint]

2016

Articles

M. Faustmann, J. Melenk, D. Praetorius: Existence of H-matrix approximants to the inverses of BEM matrices: the simple-layer operator, Math. Comp., 85 (2016), 119-152. [abstract] [www]

2015

Articles

M. Aurada, M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Energy norm based error estimators for adaptive BEM for hypersingular integral equations, Appl. Numer. Math., 95 (2015), 15-35. [abstract] [www] [preprint]

M. Aurada, J. Melenk, D. Praetorius: FEM-BEM Coupling for the large-body limit in micromagnetics, J. Comput. Appl. Math., 281 (2015), 10-31. [abstract] [www]

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems, Numer. Math., 130 (2015), 199-223. [abstract] [www] [preprint]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Quasi-optimal convergence rates for adaptive boundary element methods with data approximation - Part II: Hyper-singular integral equation, Electron. Trans. Numer. Anal., 44 (2015), 153-176. [abstract] [pdf] [preprint]

M. Feischl, T. Führer, N. Heuer, M. Karkulik, D. Praetorius: Adaptive boundary element methods: A posteriori error estimators, adaptivity, convergence, and implementation, Arch. Comput. Methods Engrg., 22 (2015), 309-389. [abstract] [www] [preprint]

M. Feischl, G. Gantner, D. Praetorius: Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations, Comput. Methods Appl. Mech. Engrg., 290 (2015), 362-386. [abstract] [www] [preprint]

Theses

M. Feischl: Rate optimality of adaptive algorithms, Betreuer/in (nen) (Supervisor: D. Praetorius, C. Carstensen), Dissertation, Institute for Analysis and Scientific Computing, 2015, Rigorosum: 24.04.2015.

2014

Articles

M. Aurada, M. Ebner, M. Feischl, S. Ferraz-Leite, T. Führer, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius: HILBERT - A MATLAB implementation of adaptive 2D-BEM, Numer. Algorithms, 67 (2014), 1-32. [abstract] [www] [preprint]

F. Bruckner, M. Feischl, T. Führer, P. Goldenits, M. Page, D. Praetorius, M. Ruggeri, D. Süss: Multiscale modeling in micromagnetics: Existence of solutions and numerical integration, M3AS Math. Models Methods Appl. Sci., 24 (2014), 2627-2662. [abstract] [www] [preprint]

C. Carstensen, M. Feischl, D. Praetorius: Rate optimality of adaptive algorithms, ECCOMAS Newsletter, 07 (2014), 20-23. [abstract] [pdf]

C. Carstensen, M. Feischl, M. Page, D. Praetorius: Axioms of adaptivity, Comput. Math. Appl., 67 (2014), 1195-1253. [abstract] [www] [preprint]

M. Feischl, M. Page, D. Praetorius: Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data, J. Comput. Appl. Math., 255 (2014), 481-501. [abstract] [www] [preprint]

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve, Eng. Anal. Bound. Elem., 38 (2014), 49-60. [abstract] [www] [preprint]

M. Feischl, T. Führer, G. Mitscha-Eibl, D. Praetorius, E. Stephan: Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without h-weighting factor, Comput. Methods Appl. Math., 14 (2014), 485-508. [abstract] [www] [preprint]

M. Feischl, T. Führer, D. Praetorius: Adaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems, SIAM J. Numer. Anal., 52 (2014), 601-625. [abstract] [pdf] [preprint]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, Part I: Weakly-singular integral equation, Calcolo, 51 (2014), 531-562. [abstract] [www] [preprint]

M. Feischl, M. Page, D. Praetorius: Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data, Int. J. Numer. Anal. Model., 11 (2014), 229-253. [abstract] [www] [preprint]

Proceedings

C. Carstensen, M. Feischl, D. Praetorius: Rate optimality of adaptive algorithms, part II: Extensions, 11th World Congress on Comput. Mech. (WCCM XI), Barcelona, 20.07.2014-25.07.2014, 11th World Congress on Comput. Mech. (WCCM XI), (2014), S. 2511-2522. [abstract] [www]

M. Feischl, G. Gantner, D. Praetorius: A posteriori error estimation for adaptive IGA boundary element methods, 11th World Congress on Comput. Mech. (WCCM XI), Barcelona, 20.07.2014-25.07.2014, 11th World Congress on Comput. Mech. (WCCM XI), (2014), S. 2421-2432. [abstract] [www] [preprint]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal preconditioning for the coupling of adaptive finite elements and boundary elements, 11th World Congress on Comput. Mech. (WCCM XI), Barcelona, 20.07.2014-25.07.2014, 11th World Congress on Comput. Mech. (WCCM XI), (2014), S. 2108-2119. [www]

Preprints, Technical Reports

C. Abert, M. Ruggeri, F. Bruckner, C. Vogler, G. Hrkac, D. Praetorius, D. Süss: A three-dimensional spin-diffusion model for micromagnetics, ASC Report 31/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-13. [abstract] [pdf]

M. Feischl, G. Gantner, D. Praetorius: Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations, ASC Report 23/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-26. [abstract] [pdf] [published 2015]

M. Feischl, G. Gantner, D. Praetorius: A posteriori error estimation for adaptive IGA boundary element methods, ASC Report 17/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-12. [abstract] [pdf] [published 2014]

M. Feischl, T. Führer, G. Mitscha-Eibl, D. Praetorius, E. Stephan: Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without h-weighting factor, ASC Report 16/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-28. [abstract] [pdf] [published 2014]

J. Melenk, D. Praetorius, B. Wohlmuth: Simultaneous quasi-optimal convergence in FEM-BEM coupling, ASC Report 13/2014, Institute of Applied Mathematics and Numerical Analysis, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-21. [abstract] [pdf]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal preconditioning for the coupling of adaptive finite and boundary elements, ASC Report 12/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-12. [abstract] [pdf]

C. Carstensen, M. Feischl, D. Praetorius: Rate optimality of adaptive algorithms: An axiomatic approach, ASC Report 11/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-12. [abstract] [pdf]

M. Feischl, T. Führer, N. Heuer, M. Karkulik, D. Praetorius: Adaptive boundary element methods: A posteriori error estimators, adaptivity, convergence, and implementation, ASC Report 09/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-77. [abstract] [pdf] [published 2015]

Theses

G. Gantner: Adaptive isogeometric BEM (Supervisor: M. Feischl, D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2014, Examination: 11.06.2014. [abstract] [pdf]

T. Führer: Zur Kopplung von finiten Elementen und Randelementen, Betreuer/in (nen) (Supervisor: D. Praetorius, E. Stephan), Dissertation, Institute for Analysis and Scientific Computing, 2014, Rigorosum: 26.06.2014. [abstract] [pdf]

G. Mitscha-Eibl: Adaptive BEM und FEM-BEM-Kopplung für die Lamé-Gleichung (Supervisor: T. Führer, D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2014, Examination: 16.10.2014. [abstract] [pdf]

2013

Articles

M. Aurada, M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods, Comput. Methods Appl. Math., 13 (2013), 305-332. [abstract] [www] [preprint]

M. Aurada, M. Feischl, J. Kemetmüller, M. Page, D. Praetorius: Each H1/2-stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd, M2AN Math. Model. Numer. Anal., 47 (2013), 1207-1235. [abstract] [www] [preprint]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity, Comput. Mech., 51 (2013), 399-419. [abstract] [www] [preprint]

C. Erath, S. Funken, P. Goldenits, D. Praetorius: Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D, Appl. Anal., 92 (2013), 1194-1216. [abstract] [www] [preprint]

M. Feischl, M. Karkulik, J. Melenk, D. Praetorius: Quasi-optimal convergence rate for an adaptive boundary element method, SIAM J. Numer. Anal., 51 (2013), 1327-1348. [abstract] [www] [preprint]

M. Karkulik, G. Of, D. Praetorius: Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement, Numer. Methods Partial Differential Equations, 29 (2013), 2081-2106. [abstract] [www] [preprint]

M. Karkulik, D. Pavlicek, D. Praetorius: On 2D newest vertex bisection: Optimality of mesh-closure and H^1-stability of L_2-projection, Constr. Approx., 38 (2013), 213-234. [abstract] [www] [preprint]

M. Page, D. Praetorius: Convergence of adaptive FEM for some elliptic obstacle problem, Appl. Anal., 92 (2013), 595-615. [abstract] [www]

Proceedings

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Novel inverse estimates for non-local operators (IABEM 2013), IABEM 2013 Symposium of the International Association for Boundary Element Methods, Santiago, 09.01.2013-11.01.2013, IABEM 2013 Proceedings, Pontificia Universidad Católica de Chile, (2013), ISBN: 978-956-351-579-4, S. 79-84. [pdf] [preprint]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: FEM-BEM couplings without stabilization (IABEM 2013), IABEM 2013 Symposium of the International Association for Boundary Element Methods, Santiago, 09.01.2012-11.01.2012, IABEM 2013 Proceedings, Pontificia Universidad Católica de Chile, (2013), ISBN: 978-956-351-579-4, S. 48-53. [abstract] [pdf] [preprint]

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Quasi-optimal adaptive BEM (IABEM 2013), IABEM 2013 Symposium of the International Association for Boundary Element Methods, Santiago, 09.01.2013-11.01.2013, IABEM 2013 Proceedings, Pontificia Universidad Católica de Chile, (2013), ISBN: 978-956-351-579-4, S. 44-47. [pdf] [preprint]

Preprints, Technical Reports

C. Carstensen, M. Feischl, M. Page, D. Praetorius: Axioms of adaptivity, ASC Report 38/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-77. [abstract] [pdf] [published 2014]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements, ASC Report 36/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-36. [abstract] [pdf] [published 2017]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Quasi-optimal convergence rates for adaptive boundary element methods with data approximation - Part II: Hyper-singular integral equation, ASC Report 30/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-22. [abstract] [pdf] [published 2015]

M. Aurada, M. Ebner, M. Feischl, S. Ferraz-Leite, T. Führer, P. Goldenits, M. Karkulik, D. Praetorius: HILBERT, a MATLAB implementation of adaptive BEM (Release 3), ASC Report 26/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-111. [abstract] [pdf]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations, ASC Report 25/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-28. [abstract] [pdf] [published 2017]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, Part I: Weakly-singular integral equation, ASC Report 24/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-26. [abstract] [pdf] [published 2014]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Energy norm based error estimators for adaptive BEM for hypersingular integral equations, ASC Report 22/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-27. [abstract] [pdf] [published 2015]

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve, ASC Report 16/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-14. [abstract] [pdf] [published 2014]

Theses

P. Schaefer: Stabile Implementierung der Randelementmethode auf anisotrop verfeinerten Gittern (Supervisor: M. Feischl, M. Karkulik, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2013. [abstract] [pdf]

2012

Articles

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius: A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling, Eng. Anal. Bound. Elem., 36 (2012), 255-266. [abstract] [www] [preprint]

M. Aurada, M. Feischl, D. Praetorius: Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems, M2AN Math. Model. Numer. Anal., 46 (2012), 1147-1173. [abstract] [www] [preprint]

M. Aurada, S. Ferraz-Leite, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius: Convergence of adaptive BEM for some mixed boundary value problem, Appl. Numer. Math., 62 (2012), 226-245. [abstract] [www] [preprint]

M. Aurada, S. Ferraz-Leite, D. Praetorius: Estimator reduction and convergence of adaptive BEM, Appl. Numer. Math., 62 (2012), 787-801. [abstract] [www] [preprint]

C. Carstensen, D. Praetorius: Convergence of adaptive boundary element methods, J. Integral Equations Appl., 24 (2012), 1-23. [abstract] [www] [preprint]

S. Ferraz-Leite, J. Melenk, D. Praetorius: Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics, Numer. Math., 122 (2012), 101-131. [abstract] [www]

Preprints, Technical Reports

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems, ASC Report 52/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-23. [abstract] [pdf] [published 2015]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Novel inverse estimates for non-local operators (IABEM 2013), ASC Report 49/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-6. [pdf] [published 2013]

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Quasi-optimal adaptive BEM (IABEM 2013), ASC Report 48/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-6. [pdf] [published 2013]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: FEM-BEM couplings without stabilization (IABEM 2013), ASC Report 47/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-6. [pdf] [published 2013]

M. Feischl, T. Führer, D. Praetorius: Adaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems, ASC Report 43/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-21. [abstract] [pdf] [published 2014]

F. Bruckner, M. Feischl, T. Führer, P. Goldenits, M. Page, D. Praetorius, M. Ruggeri, D. Süss: Multiscale modeling in micromagnetics: Existence of solutions and numerical integration, ASC Report 34/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-28. [abstract] [pdf] [published 2014]

M. Karkulik, G. Of, D. Praetorius: Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement, ASC Report 20/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-25. [abstract] [pdf] [published 2013]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods, ASC Report 15/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-27. [abstract] [pdf] [published 2013]

M. Karkulik, D. Pavlicek, D. Praetorius: On 2D newest vertex bisection: Optimality of mesh-closure and H^1-stability of L_2-projection, ASC Report 10/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-28. [abstract] [pdf] [published 2013]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity, ASC Report 08/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-20. [abstract] [pdf] [published 2013]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM, ASC Report 07/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-32. [abstract] [pdf]

M. Aurada, M. Feischl, J. Kemetmüller, M. Page, D. Praetorius: Each H1/2-stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd, ASC Report 03/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-35. [abstract] [pdf] [published 2013]

Theses

M. Ebner: A-posteriori Fehlerschätzung für die Symm'sche Integralgleichung (Supervisor: M. Aurada, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2012. [abstract] [pdf]

M. Feischl: Optimality of adaptive 2D boundary element method (Supervisor: M. Karkulik, D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2012, Examination: 22.03.2012. [abstract] [pdf]

M. Karkulik: Zur Konvergenz und Quasioptimalität adaptiver Randelementmethoden, Betreuer/in (nen) (Supervisor: D. Praetorius, J. Melenk, S. Sauter), Dissertation, Institute for Analysis and Scientific Computing, 2012, Rigorosum: 29.10.2012. [abstract] [pdf]

J. Kemetmüller: Vektorisierte Implementierung von P1-FEM in 3D (Supervisor: M. Page, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2012. [abstract] [pdf]

2011

Articles

S. Funken, D. Praetorius, P. Wissgott: Efficient implementation of adaptive P1-FEM in MATLAB, Comput. Methods Appl. Math., 11 (2011), 460-490. [abstract] [www]

Proceedings

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius: Adaptive coupling of FEM and BEM: Simple error estimators and convergence (GAMM 2011), GAMM Jahrestagung 2011, Graz, 18.04.2011-21.04.2011, PAMM: Proceedings in Applied Mathematics and Mechanics, PAMM, 11 (2011), ISSN: 1617-7061, S. 755-756. [abstract] [www] [preprint]

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius: Adaptive coupling of FEM and BEM: Simple error estimators and convergence (AfriCOMP11), AfriCOMP11 - 2nd African Conference on Comput. Mech., Cape Town, 05.01.2011-08.01.2011, Proceedings of AfriCOMP 11, (2011), Paper-Nr. 56, 4 S. [abstract] [pdf]

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius: Adaptive coupling of FEM and BEM: Simple error estimators and convergence (IABEM 2011), IABEM 2011 Conference, Brescia, 05.09.2011-08.09.2011, Proceedings of IABEM 2011, (2011), S. 35-40. [abstract] [pdf] [preprint]

M. Feischl, M. Page, D. Praetorius: Convergence of adaptive FEM for elliptic obstacle problems, GAMM Jahrestagung 2011, Graz, 18.04.2011-21.04.2011, PAMM: Proceedings in Applied Mathematics and Mechanics, PAMM, 11 (2011), ISSN: 1617-7061, S. 767-768. [abstract] [www] [preprint]

M. Feischl, M. Karkulik, J. Melenk, D. Praetorius: Residual a-posteriori error estimates in BEM: convergence of h-adaptive algorithms, IABEM 2011 Conference, Brescia, 05.09.2011-08.09.2011, Proceedings of IABEM 2011, (2011), S. 135-140. [abstract] [pdf] [preprint]

M. Feischl, M. Page, D. Praetorius: Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data (GAMM 2011), Hauptvortrag: GAMM Jahrestagung 2011, Graz, 18.04.2011-21.04.2011, PAMM: Proceedings in Applied Mathematics and Mechanics, PAMM, 11 (2011), ISSN: 1617-7061, S. 769-772. [abstract] [www] [preprint]

Preprints, Technical Reports

M. Feischl, M. Karkulik, J. Melenk, D. Praetorius: Quasi-optimal convergence rate for an adaptive boundary element method, ASC Report 28/2011, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2011, ISBN 978-3-902627-04-9. [abstract] [pdf] [published 2013]

M. Aurada, M. Ebner, M. Feischl, S. Ferraz-Leite, T. Führer, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius: HILBERT - A MATLAB implementation of adaptive 2D-BEM, ASC Report 24/2011, Institute of Analysis and Scientific Computing, Vienna University of Technology, Wien, 2011, ISBN 978-3-902627-04-9, S. 1-30. [abstract] [pdf] [published 2014]

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius: Adaptive coupling of FEM and BEM: Simple error estimators and convergence (GAMM 2011), ASC Report 22/2011, Institute of Analysis and Scientific Computing, Vienna University of Technology, Wien, 2011, ISBN 978-3-902627-04-9. [abstract] [pdf] [published 2011]

M. Feischl, M. Karkulik, J. Melenk, D. Praetorius: Residual a-posteriori error estimates in BEM: Convergence of h-adaptive algorithms, ASC Report 21/2011, Institut for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2011, ISBN 978-3-902627-04-9. [abstract] [pdf] [published 2011]

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius: Adaptive coupling of FEM and BEM: Simple error estimators and convergence (IABEM 2011), ASC Report 20/2011, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2011, ISBN 978-3-902627-04-9. [abstract] [pdf] [published 2011]

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius: A Posteriori Error Estimates for the Johnson-Nédélec FEM-BEM Coupling, ASC Report 18/2011, Institute of Analysis and Scientific Computing, Vienna University of Technology, Wien, 2011, ISBN 978-3-902627-04-9. [abstract] [pdf] [published 2012]

M. Feischl, M. Page, D. Praetorius: Convergence of adaptive FEM for elliptic obstacle problems, ASC Report 17/2011, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2011, ISBN 978-3-902627-04-9. [abstract] [pdf] [published 2011]

M. Feischl, M. Page, D. Praetorius: Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data (GAMM 2011), ASC Report 16/2011, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2011, ISBN 978-3-902627-04-9. [abstract] [pdf] [published 2011]

Theses

S. Ferraz-Leite: Quadratic minimization with non-local operators and non-linear constraints, Betreuer/in (nen) (Supervisor: D. Praetorius, J. Melenk, S. Bartels), Dissertation, Institute for Analysis and Scientific Computing, 2011, Rigorosum: 18.02.2011. [pdf]

M. Aurada: Mixed conforming elements for the large-body limit in micromagnetics, Betreuer/in (nen) (Supervisor: J. Melenk, D. Praetorius, C. Carstensen), Dissertation, Institute for Analysis and Scientific Computing, 2011, Rigorosum: 21.10.2011.

D. Pavlicek: Optimalität adaptiver FEM (Supervisor: M. Aurada, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2011. [abstract] [pdf]

2010

Articles

S. Ferraz-Leite, C. Ortner, D. Praetorius: Convergence of simple adaptive Galerkin schemes based on h-h/2 error estimators, Numer. Math., 116 (2010), 291-316. [abstract] [pdf] [preprint]

Preprints, Technical Reports

M. Feischl, M. Page, D. Praetorius: Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data, ASC Report 34/2010, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2010, ISBN 978-3-902627-03-2. [abstract] [pdf] [published 2014]

M. Feischl, M. Page, D. Praetorius: Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data, ASC Report 33/2010, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2010, ISBN 978-3-902627-03-2. [abstract] [pdf] [published 2014]

M. Aurada, M. Ebner, M. Feischl, S. Ferraz-Leite, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius: Hilbert (Release 2): A MATLAB implementation of adaptive BEM, ASC Report 14/2010, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2010, ISBN 978-3-902627-03-2. [abstract] [pdf]

M. Aurada, S. Ferraz-Leite, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius: Convergence of adaptive BEM for some mixed boundary value problem, ASC Report 12/2010, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2010, ISBN 978-3-902627-03-2. [abstract] [pdf] [published 2012]

M. Aurada, S. Ferraz-Leite, D. Praetorius: Estimator reduction and convergence of adaptive BEM, ASC Report 09/2010, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2010, ISBN 978-3-902627-03-2. [abstract] [pdf] [published 2012]

M. Aurada, M. Feischl, D. Praetorius: Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems, ASC Report 06/2010, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2010, ISBN 978-3-902627-03-2. [abstract] [pdf] [published 2012]

Theses

M. Feischl: Different Strategies for the Adaptive FEM-BEM Coupling (Supervisor: M. Aurada, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2010. [abstract] [pdf]

M. Mayr: Stabile Implementierung der Randelementmethode auf stark adaptierten Netzen (Supervisor: S. Ferraz-Leite, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2010. [abstract] [pdf]

M. Page: Schätzerreduktion und Konvergenz adaptiver FEM für Hindernisprobleme (Supervisor: D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2010, Examination: 20.05.2010. [abstract] [pdf]

2009

Articles

C. Erath, S. Ferraz-Leite, S. Funken, D. Praetorius: Energy Norm Based A Posteriori Error Estimation for Boundary Element Methods in Two Dimensions, Appl. Numer. Math., 59 (2009), 2713-2734. [abstract] [www]

Proceedings

M. Aurada, S. Ferraz-Leite, D. Praetorius: Convergence of Adaptive Boundary Element Methods, Computer Methods in Mechanics CMM 2009, Zielona Góra, 18.05.2009-21.05.2009, Short Papers of 18th International Conference on Computer Methods in Mechanics, University of Zielona Gora Press, Zielona Gora (2009), ISBN: 978-83-7481-245-0, S. 113-114. [abstract] [pdf] [preprint]

Preprints, Technical Reports

M. Aurada, M. Ebner, S. Ferraz-Leite, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius: HILBERT - a MATLAB implementation of adaptive BEM, ASC Report 44/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2009, ISBN 978-3-902627-02-5. [abstract] [pdf]

M. Aurada, P. Goldenits, D. Praetorius: Convergence of data perturbed adaptive boundary element methods, ASC Report 40/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2009, ISBN 978-3-902627-02-5. [abstract] [pdf]

M. Aurada, S. Ferraz-Leite, D. Praetorius: Estimator reduction and convergence of adaptive FEM and BEM, ASC Report 27/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2009, ISBN 978-3-902627-02-5. [abstract] [pdf]

C. Erath, S. Funken, P. Goldenits, D. Praetorius: Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D, ASC Report 20/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2009, ISBN 978-3-902627-02-5. [abstract] [pdf] [published 2013]

C. Carstensen, D. Praetorius: Convergence of adaptive boundary element methods, ASC Report 15/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2009, ISBN 978-3-902627-02-5. [abstract] [pdf] [published 2012]

S. Ferraz-Leite, C. Ortner, D. Praetorius: Convergence of simple adaptive Galerkin schemes based on h-h/2 error estimators, ASC Report 06/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2009, ISBN 978-3-902627-02-5. [abstract] [pdf] [published 2010]

M. Aurada, S. Ferraz-Leite, D. Praetorius: Convergence of adaptive boundary element methods, ASC Report 01/2009, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2009, ISBN 978-3-902627-02-5. [abstract] [pdf] [published 2009]

Theses

I. Roth: Zuverlässige a posteriori Fehlerschätzung für datengestörte Randelementmethoden in 2D (Supervisor: D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2009, Examination: 08.01.2009. [pdf]

P. Goldenits: Analyse adaptiver Netzverfeinerungsstrategien für eine hypersinguläre Integralgleichung in 2D (Supervisor: D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2009, Examination: 28.01.2009. [pdf]