Scientific Publications

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2013

Articles

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, Mathematical Modelling and Numerical Analysis (M2AN), 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, Computational Mechanics, 51 (2013), 399-419. [abstract] [www] [preprint]

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, Computational Methods in Applied Mathematics, 13 (2013), 305-332. [abstract] [www] [preprint]

F. Bruckner, C. Vogler, B. Bergmair, T. Huber, M. Fuger, D. Süss, M. Feischl, T. Führer, M. Page, D. Praetorius: Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations, Journal of Magnetism and Magnetic Materials, 343 (2013), 163-168. [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, Applicable Analysis, 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 Journal on Numerical Analysis, 51 (2013), 1327-1348. [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, Constructive Approximation, 38 (2013), 213-234. [abstract] [www] [preprint]

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

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

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]

F. Reichel, T. Schrefl, D. Süss, G. Hrkac, D. Praetorius, M. Gusenbauer, S. Bance, H. Oezelt, J. Fischbacher, L. Exl: Mechanical Oscillations of Magnetic Strips under the Infl, uence of External Field, JEMS 2012 - Joint European Magnetism Symposia, Parma, Italien, 09.09.2012-14.09.2012, JEMS 2012 - Joint European Magnetic Symposia, EPJ Web of Conferences, 40 (2013), S. 13004. [abstract] [www]

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. Faustmann, J. Melenk, D. Praetorius: Existence of H-matrix approximants to the inverses of BEM matrices: the simple-layer operator, ASC Report 37/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-33. [abstract] [pdf] [published 2016]

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. Faustmann, J. Melenk, D. Praetorius: H-matrix approximability of the inverses of FEM matrices, ASC Report 20/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-23. [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]

K. Le, M. Page, D. Praetorius, T. Tran: On a decoupled linear FEM integrator for Eddy-Current-LLG, ASC Report 15/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-13. [abstract] [pdf] [published 2015]

L. Banas, M. Page, D. Praetorius: A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations, ASC Report 09/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-25. [abstract] [pdf] [published 2015]

L. Banas, M. Page, D. Praetorius, J. Rochat: On the Landau-Lifshitz-Gilbert equations with magnetostriction, ASC Report 08/2013, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2013, ISBN 978-3-902627-06-3, S. 1-22. [pdf] [published 2014]

M. Aurada, J. Melenk, D. Praetorius: FEM-BEM Coupling for the large-body limit in micromagnetics, ASC Report 04/2013, 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]

Theses

M. Mayr: MILLG - Ein Löser für die Landau-Lifshitz-Gilbert-Gleichung (Supervisor: M. Page, D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2013, Examination: 17.01.2013.

F. Bruckner: Multiscale simulation of magnetic nanostructures, Betreuer/in (nen) (Supervisor: D. Süss, D. Praetorius), Dissertation, Institute for Solid State Physics, 2013, Rigorosum: 27.05.2013. [abstract]

M. Bantle: On hp-boundary element methods for the Laplace operator in two dimensions, Betreuer/in (nen) (Supervisor: S. Funken, D. Praetorius), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2013, Rigorosum: 11.07.2013.

D. Pavlicek: Simulation des Zellwachstums in einem Bioreaktor (Supervisor: D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2013, Examination: 03.09.2013. [abstract]

M. Page: On dynamical micromagnetism, Betreuer/in (nen) (Supervisor: D. Praetorius, L. Banas), Dissertation, Institute for Analysis and Scientific Computing, 2013, Rigorosum: 18.10.2013. [pdf]

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]