[Zurück]

M. Faustmann, J. Melenk, M. Parvizi:
"Caccioppoli-type estimates and H-Matrix approximations to inverses for FEM-BEM coupling";
in: "ASC Report 20/2020", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, S. 1 - 31.

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

http://www.asc.tuwien.ac.at/preprint/2020/asc20x2020.pdf