Caccioppoli-type estimates and H -matrix approximations to inverses for FEM-BEM couplings

authored by
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
Abstract

We consider three different methods for the coupling of the finite element method and the boundary element method, the Bielak–MacCamy coupling, the symmetric coupling, and the Johnson–Nédélec coupling. For each coupling, we provide discrete interior regularity estimates. As a consequence, we are able to prove the existence of exponentially convergent H-matrix approximants to the inverse matrices corresponding to the lowest order Galerkin discretizations of the couplings.

Organisation(s)
Institute of Applied Mathematics
PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines
External Organisation(s)
TU Wien (TUW)
Type
Article
Journal
Numerische Mathematik
Volume
150
Pages
849-892
No. of pages
44
ISSN
0029-599X
Publication date
03.2022
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Computational Mathematics, Applied Mathematics
Electronic version(s)
https://doi.org/10.48550/arXiv.2008.11498 (Access: Open)
https://doi.org/10.1007/s00211-021-01261-0 (Access: Open)