Scientific Publications

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2015

Articles

C. Abert, M. Ruggeri, F. Bruckner, C. Vogler, G. Hrkac, D. Praetorius, D. Süss: A three-dimensional spin-diffusion model for micromagnetics, Scientific Reports, 5 (2015), 14855. [abstract] [www] [preprint]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Energy norm based error estimators for adaptive BEM for hypersingular integral equations, Applied Numerical Mathematics, 95 (2015), 15-35. [abstract] [www] [preprint]

M. Aurada, J. Melenk, D. Praetorius: FEM-BEM Coupling for the large-body limit in micromagnetics, Journal of Computational and Applied Mathematics, 281 (2015), 10-31. [abstract] [www] [preprint]

L. Banas, M. Page, D. Praetorius: A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations, Electronic Transactions on Numerical Analysis (ETNA), 44 (2015), 250-270. [abstract] [pdf] [preprint]

M. Faustmann, J. Melenk, D. Praetorius: H-matrix approximability of the inverses of FEM matrices, Numerische Mathematik, 131 (2015), 615-642. [abstract] [www] [preprint]

M. Feischl, T. Führer, N. Heuer, M. Karkulik, D. Praetorius: Adaptive boundary element methods: A posteriori error estimators, adaptivity, convergence, and implementation, Archives of Computational Methods in Engineering, 22 (2015), 309-389. [abstract] [www] [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, Computer Methods in Applied Mechanics and Engineering, 290 (2015), 362-386. [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, Electronic Transactions on Numerical Analysis (ETNA), 44 (2015), 153-176. [abstract] [pdf] [preprint]

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems, Numerische Mathematik, 130 (2015), 199-223. [abstract] [www] [preprint]

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, Computers & Mathematics with Applications, 70 (2015), 1583-1605. [abstract] [www] [preprint]

M. Karkulik, D. Pavlicek, D. Praetorius: Erratum to: On 2D newest vertex bisection: optimality of mesh-closure and H1-stability of L2-projection, Constructive Approximation, 42 (2015), 349-352. [abstract] [www]

K. Le, M. Page, D. Praetorius, T. Tran: On a decoupled linear FEM integrator for eddy-current-LLG, Applicable Analysis, 84 (2015), 1051-1067. [abstract] [www] [preprint]

Preprints, Technical Reports

M. Feischl, T. Führer, M. Niederer, S. Strommer, A. Steinböck, D. Praetorius: Efficient numerical computation of direct exchange areas in thermal radiation analysis, ASC Report 31/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-26. [abstract] [pdf] [published 2016]

C. Erath, D. Praetorius: Adaptive finite volume methods with convergence rates, ASC Report 29/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-30. [abstract] [pdf] [published 2016]

M. Ruggeri, C. Abert, G. Hrkac, D. Süss, D. Praetorius: Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: A step towards a fully self-consistent spintronics framework, ASC Report 23/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-5. [abstract] [pdf] [published 2016]

M. Feischl, G. Gantner, A. Haberl, D. Praetorius: Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations, ASC Report 16/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-26. [abstract] [pdf] [published 2017]

M. Feischl, D. Praetorius, K. van der Zee: An abstract analysis of optimal goal-oriented adaptivity, ASC Report 15/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-36. [abstract] [pdf] [published 2016]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Local inverse estimates for non-local boundary integral operators, ASC Report 12/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-28. [abstract] [pdf] [published 2017]

M. Feischl, G. Gantner, A. Haberl, D. Praetorius: Adaptive 2D IGA boundary element methods, ASC Report 11/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-14. [abstract] [pdf] [published 2016]

M. Faustmann, J. Melenk, D. Praetorius: Existence of $\cal H$-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator, ASC Report 08/2015, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2015, ISBN 978-3-902627-08-7, S. 1-30. [abstract] [pdf]

Theses

A. Haberl: Instanz-Optimalität adaptiver FEM (Supervisor: M. Feischl, D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2015, Examination: 15.01.2015.

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.

A. Bantle: On High-Order NURBS-Based Boundary Element Methods in Two Dimensions: Numerical Integration and Implementation, Betreuer/in (nen) (Supervisor: S. Funken, D. Praetorius), Dissertation, Institute of Numerical Mathematics, University of Ulm, 2015, Rigorosum: 03.07.2015.