Details
| Original language | English |
|---|---|
| Pages (from-to) | 849-892 |
| Number of pages | 44 |
| Journal | Numerische Mathematik |
| Volume | 150 |
| Issue number | 3 |
| Early online date | 11 Feb 2022 |
| Publication status | Published - Mar 2022 |
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.
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Numerische Mathematik, Vol. 150, No. 3, 03.2022, p. 849-892.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Caccioppoli-type estimates and H -matrix approximations to inverses for FEM-BEM couplings
AU - Faustmann, Markus
AU - Melenk, Jens Markus
AU - Parvizi, Maryam
N1 - Funding Information: MP was funded by the Austrian Science Fund (FWF) project P 28367 and JMM was supported by the Austrian Science Fund (FWF) by the special research program Taming complexity in PDE systems (Grant SFB F65). Open access funding provided by TU Wien (TUW)
PY - 2022/3
Y1 - 2022/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85124653194&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2008.11498
DO - 10.48550/arXiv.2008.11498
M3 - Article
AN - SCOPUS:85124653194
VL - 150
SP - 849
EP - 892
JO - Numerische Mathematik
JF - Numerische Mathematik
SN - 0029-599X
IS - 3
ER -