Title
$${\mathcal{H}}$$ H -matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations
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 $${\mathcal{H}}$$ -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.
Year
DOI
Venue
2022
10.1007/s10444-022-09965-z
Advances in Computational Mathematics
Keywords
DocType
Volume
Maxwell equations, Hierarchical matrices, Finite element method, Helmholtz decompositions
Journal
48
Issue
ISSN
Citations 
5
1019-7168
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
Markus Faustmann100.34
Jens Markus Melenk213324.18
Maryam Parvizi300.68