Paper Info
Title
Caccioppoli-type estimates and $$\mathcal {H}$$ H -matrix approximations to inverses for FEM-BEM couplings
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 $$\mathcal {H}$$ -matrix approximants to the inverse matrices corresponding to the lowest order Galerkin discretizations of the couplings.
Year
DOI
Venue
2022
10.1007/s00211-021-01261-0
Numerische Mathematik
Keywords
DocType
Volume
65F05, 65N30, 65N38, 65F30
Journal
150
Issue
ISSN
Citations 
3
0029-599X
0
PageRank 
References 
Authors
0.34
10
3
Name
Order
Citations
PageRank
Markus Faustmann100.34
Jens Markus Melenk213324.18
Maryam Parvizi300.68