Scientific Publications

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2019

Accepted Publications

G. Di Fratta, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner: Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation, accepted for publication in IMA Journal of Numerical Analysis (2019). [abstract]

C. Erath, G. Gantner, D. Praetorius: Optimal convergence behavior of adaptive FEM driven by simple (h-h/2)-type error estimators, accepted for publication in Computers & Mathematics with Applications (2019). [abstract] [www]

G. Gantner, D. Praetorius, S. Schimanko: Adaptive isogeometric boundary element methods with local smoothness control, accepted for publication in Mathematical Models and Methods in Applied Sciences (M3AS) (2019), 1-39. [abstract]

C.-M. Pfeiler, M. Ruggeri, B. Stiftner, L. Exl, M. Hochsteger, G. Hrkac, J. Schöberl, N. Mauser, D. Praetorius: Computational micromagnetics with Commics, accepted for publication in Computer Physics Communications (2019). [abstract] [www]

Articles

A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri: Convergence of adaptive stochastic Galerkin FEM, SIAM Journal on Numerical Analysis, 57 (2019), 2359-2382. [abstract] [www] [preprint]

A. Bespalov, T. Betcke, A. Haberl, D. Praetorius: Adaptive BEM with optimal convergence rates for the Helmholtz equation, Computer Methods in Applied Mechanics and Engineering (CMAME), 346 (2019), 260-287. [abstract] [www] [preprint]

A. Bespalov, D. Praetorius, L. Rocchi, M. Ruggeri: Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs, Computer Methods in Applied Mechanics and Engineering (CMAME), 345 (2019), 951-982. [abstract] [www] [preprint]

T. Betcke, A. Haberl, D. Praetorius: Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra, Journal of Computational Physics, 397 (2019), 108837. [abstract] [www] [preprint]

G. Di Fratta, T. Führer, G. Gantner, D. Praetorius: Adaptive Uzawa algorithm for the Stokes equation, Mathematical Modelling and Numerical Analysis (M2AN), 53 (2019), 1841-1870. [abstract] [www] [preprint]

C. Erath, D. Praetorius: Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs, IMA Journal of Numerical Analysis, 39 (2019), 983-1008. [abstract] [www] [preprint]

C. Erath, D. Praetorius: Optimal adaptivity for the SUPG finite element method, Computer Methods in Applied Mechanics and Engineering (CMAME), 353 (2019), 308-327. [abstract] [www] [preprint]

T. Führer, G. Gantner, D. Praetorius, S. Schimanko: Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods, Computer Methods in Applied Mechanics and Engineering (CMAME), 351 (2019), 571-598. [abstract] [www] [preprint]

T. Führer, A. Haberl, D. Praetorius, S. Schimanko: Adaptive BEM with inexact PCG solver yields almost optimal computational costs, Numerische Mathematik, 141 (2019), 967-1008. [abstract] [www] [preprint]

G. Hrkac, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, A. Segatti, B. Stiftner: Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics, Advances in Computational Mathematics, 45 (2019), 1329-1368. [abstract] [www] [preprint]

J. Kraus, C.-M. Pfeiler, D. Praetorius, M. Ruggeri, B. Stiftner: Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics, Journal of Computational Physics, 398 (2019), 108866. [abstract] [www] [preprint]

Preprints, Technical Reports

G. Di Fratta, M. Innerberger, D. Praetorius: Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics, ASC Report 26/2019, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2019, ISBN 978-3-902627-12-4, S. 1-14. [abstract] [pdf]

G. Gantner, D. Praetorius: Adaptive IGAFEM with optimal convergence rates: T-splines, ASC Report 25/2019, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2019, ISBN 978-3-902627-12-4, S. 1-25. [pdf]

M. Innerberger, D. Praetorius: Instance-optimal goal-oriented adaptivity, ASC Report 21/2019, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2019, ISBN 978-3-902627-12-4, S. 1-20. [abstract] [pdf]

C.-M. Pfeiler, D. Praetorius: Dörfler marking with minimal cardinality is a linear complexity problem, ASC Report 20/2019, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2019, ISBN 978-3-902627-12-4, S. 1-18. [abstract] [pdf]

D. Praetorius, M. Ruggeri, E. Stephan: The saturation assumption yields optimal convergence of two-level adaptive BEM, ASC Report 18/2019, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2019, ISBN 978-3-902627-12-4, S. 1-26. [abstract] [pdf]

M. Faustmann, J. Melenk, D. Praetorius: Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian, ASC Report 07/2019, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2019, ISBN 978-3-902627-12-4, S. 1-23. [abstract] [pdf]

G. Gantner, D. Praetorius, S. Schimanko: Adaptive isogeometric boundary element methods with local smoothness control, ASC Report 06/2019, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2019, ISBN 978-3-902627-12-4, S. 1-39. [abstract] [pdf]

T. Betcke, A. Haberl, D. Praetorius: Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra, ASC Report 03/2019, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2019, ISBN 978-3-902627-12-4, S. 1-24. [abstract] [pdf] [published 2019]

Theses

S. Nakov: The Poisson-Boltzmann equation: Analysis, a posteriori error estimation and applications, Betreuer/in (nen), Begutachter/in (nen): J. Kraus, D. Praetorius, Johannes Kepler Universität Linz, 2019, Rigorosum: 11.07.2019.

C. Özdemir: Finite elements and boundary elements coupling in time domain, Betreuer/in (nen), Begutachter/in (nen): E. Stephan, H. Gimperlein, D. Praetorius, Leibniz Universität Hannover, 2019, Rigorosum: 25.09.2019.