Scientific Publications

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2017

Accepted Publications

M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Local inverse estimates for non-local boundary integral operators, accepted for publication in Mathematics of Computation (2016). [abstract] [preprint]

M. Faustmann, J. Melenk, D. Praetorius: Existence of H-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator, accepted for publication in IMA Journal of Numerical Analysis (2016). [www]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements, accepted for publication in Numerical Methods for Partial Differential Equations (2015). [abstract] [www] [preprint]

Articles

A. Bespalov, A. Haberl, D. Praetorius: Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems, Computer Methods in Applied Mechanics and Engineering, 317 (2017), 318-340. [abstract] [www] [preprint]

C. Erath, D. Praetorius: Céa-type quasi-optimality and convergence rates for (adaptive) vertex-centered FVM, in: , Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects. FVCA 2017., Springer, Wien, 2017, ISBN: 978-3-319-57396-0, S. 215-223. [abstract] [www] [preprint]

M. Feischl, T. Führer, D. Praetorius, E. Stephan: Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations, Calcolo, 54 (2017), 367-399. [abstract] [www] [preprint]

M. Feischl, G. Gantner, A. Haberl, D. Praetorius: Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations, Numerische Mathematik, 136 (2017), 147-182. [abstract] [www] [preprint]

J. Melenk, D. Praetorius, B. Wohlmuth: Simultaneous quasi-optimal convergence rates in FEM-BEM coupling, Mathematical Methods in the Applied Sciences (M2AS), 40 (2017), 463-485. [www]

Preprints, Technical Reports

T. Führer, D. Praetorius: A linear Uzawa-type solver for nonlinear transmission problems, ASC Report 06/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2017, ISBN 978-3-902627-10-0, S. 1-28. [pdf]

G. Gantner, D. Haberlik, D. Praetorius: Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines, ASC Report 02/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2017, ISBN 978-3-902627-10-0, S. 1-37. [abstract] [pdf]

C. Erath, D. Praetorius: Céa-type quasi-optimality and convergence rates for (adaptive) vertex-centered FVM, ASC Report 01/2017, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2017, ISBN 978-3-902627-10-0, S. 1-8. [abstract] [pdf] [published 2017]