Scientific Publications

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2014

Articles

C. Abert, G. Hrkac, M. Page, D. Praetorius, M. Ruggeri, D. Süss: Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator, Computers & Mathematics with Applications, 68 (2014), 639-654. [abstract] [www] [preprint]

M. Aurada, J. Melenk, D. Praetorius: Mixed conforming elements for the large-body limit in micromagnetics, Mathematical Models and Methods in Applied Sciences (M3AS), 24 (2014), 113-144. [abstract] [www] [preprint]

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, Numerical Algorithms, 67 (2014), 1-32. [abstract] [www] [preprint]

L. Banas, M. Page, D. Praetorius, J. Rochat: On the Landau-Lifshitz-Gilbert equations with magnetostriction, IMA Journal of Numerical Analysis, 34 (2014), 1361-1385. [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, Mathematical Models and Methods in Applied Sciences (M3AS), 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, Computers & Mathematics with Applications, 67 (2014), 1195-1253. [abstract] [www] [preprint]

M. Faustmann, J. Melenk, D. Praetorius: A new proof for existence of $\mathcal{H}$-matrix approximants to the inverse of FEM matrices: the Dirichlet problem for the Laplacian, Springer Lecture Notes in Computational Science and Engineering, 95 (2014), 249-259. [abstract] [www] [preprint]

M. Feischl, M. Page, D. Praetorius: Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data, International Journal of Numerical Analysis & Modeling, 11 (2014), 229-253. [abstract] [www] [preprint]

M. Feischl, M. Page, D. Praetorius: Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data, Journal of Computational and Applied Mathematics, 255 (2014), 481-501. [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, Computational Methods in Applied Mathematics, 14 (2014), 485-508. [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, Engineering Analysis with Boundary Elements, 38 (2014), 49-60. [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 Journal on Numerical Analysis, 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]

Proceedings

C. Carstensen, M. Feischl, D. Praetorius: Rate optimality of adaptive algorithms, part II: Extensions, 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, 20.07.2014-25.07.2014, 11th World Congress on Computational Mechanics (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 Computational Mechanics (WCCM XI), Barcelona, 20.07.2014-25.07.2014, 11th World Congress on Computational Mechanics (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 Computational Mechanics (WCCM XI), Barcelona, 20.07.2014-25.07.2014, 11th World Congress on Computational Mechanics (WCCM XI), (2014), S. 2108-2119. [www]

Preprints, Technical Reports

T. Führer, J. Melenk, D. Praetorius, A. Rieder: Optimal additive Schwarz methods for the hp-BEM: the hypersingular integral operator in 3D on locally refined meshes, ASC Report 41/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-34. [abstract] [pdf] [published 2015]

M. Feischl, T. Führer, G. Gantner, A. Haberl, D. Praetorius: Adaptive boundary element methods for optimal convergence of point errors, ASC Report 34/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-22. [abstract] [pdf] [published 2016]

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] [published 2015]

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]

C. Abert, G. Hrkac, M. Page, D. Praetorius, M. Ruggeri, D. Süss: Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator, ASC Report 08/2014, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2014, ISBN 978-3-902627-07-0, S. 1-20. [abstract] [pdf] [published 2014]

Theses

J. Kemetmüller: Numerische Integration der Landau-Lifschitz-Gilbert-Gleichung (Supervisor: M. Page, D. Praetorius, M. Ruggeri), Diploma thesis, Institute for Analysis and Scientific Computing, 2014, Examination: 08.05.2014. [abstract] [pdf]

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]