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)