Scientific Publications

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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]