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 Faustmann | 1 | 0 | 0.34 |
Jens Markus Melenk | 2 | 133 | 24.18 |
Maryam Parvizi | 3 | 0 | 0.68 |