Scientific Publications

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2017

Accepted Publications

M. Faustmann, J. Melenk, D. Praetorius: Existence of H-matrix approximants to the inverses of BEM matrices: the simple-layer operator, accepted for publication in Math. Comp. (2014). [abstract] [www]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations, accepted for publication in Calcolo (2016). [abstract] [www] [preprint]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements, accepted for publication in Numer. Methods Partial Differential Equations (2015). [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 I: Weakly-singular integral equation, accepted for publication in Calcolo (2013). [abstract] [www] [preprint]

J. Melenk, D. Praetorius, B. Wohlmuth: Simultaneous quasi-optimal convergence in FEM-BEM coupling, accepted for publication in M2AS Math. Methods Appl. Sci. (2014). [abstract] [www] [preprint]

Articles

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, 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, 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, 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]

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]

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, 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 and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data, J. Comput. Appl. Math., 255 (2014), 481-501. [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, 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]

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]

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, 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]

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]

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] [accepted for publication]

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. 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 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. 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]