dc.identifier.uri |
http://dx.doi.org/10.15488/14010 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/14124 |
|
dc.contributor.author |
Faustmann, Markus
|
|
dc.contributor.author |
Melenk, Jens Markus
|
|
dc.contributor.author |
Parvizi, Maryam
|
|
dc.date.accessioned |
2023-06-29T07:13:07Z |
|
dc.date.available |
2023-06-29T07:13:07Z |
|
dc.date.issued |
2022 |
|
dc.identifier.citation |
Faustmann, M.; Melenk, J.M.; Parvizi, M.: H-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. In: Advances in Computational Mathematics 48 (2022), Nr. 5, 59. DOI: https://doi.org/10.1007/s10444-022-09965-z |
|
dc.description.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. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Dordrecht [u.a.] : Springer Science + Business Media B.V |
|
dc.relation.ispartofseries |
Advances in Computational Mathematics 48 (2022), Nr. 5 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
Finite element method |
eng |
dc.subject |
Helmholtz decompositions |
eng |
dc.subject |
Hierarchical matrices |
eng |
dc.subject |
Maxwell equations |
eng |
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
H-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1572-9044 |
|
dc.relation.issn |
1019-7168 |
|
dc.relation.doi |
https://doi.org/10.1007/s10444-022-09965-z |
|
dc.bibliographicCitation.issue |
5 |
|
dc.bibliographicCitation.volume |
48 |
|
dc.bibliographicCitation.firstPage |
59 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|