H -matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations

authored by

Markus Faustmann, Jens Markus Melenk, Maryam Parvizi

Abstract

The inverse of the stiffness matrix of the time-harmonic Maxwell equation with perfectly conducting boundary conditions is approximated in the blockwise low-rank format of H-matrices. Under a technical assumption on the mesh, we prove that root exponential convergence in the block rank can be achieved, if the block structure conforms to a standard admissibility criterion.

Organisation(s)

Institute of Applied Mathematics
PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines

External Organisation(s)

TU Wien (TUW)

Type

Article

Journal

Advances in Computational Mathematics

Volume

48

No. of pages

32

ISSN

1019-7168

Publication date

10.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Computational Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.48550/arXiv.2103.14981 (Access: Open)
https://doi.org/10.1007/s10444-022-09965-z (Access: Open)