Abstract
The construction of fast iterative solvers for the indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.
| Original language | English |
|---|---|
| Title of host publication | Domain Decomposition Methods in Science and Engineering XXIV. DD 2017 |
| Editors | P. Bjorstad |
| Place of Publication | Cham, Switzerland |
| Publisher | Springer Verlag |
| Pages | 149-157 |
| Number of pages | 9 |
| ISBN (Electronic) | 9783319938738 |
| ISBN (Print) | 9783319938721 |
| DOIs | |
| Publication status | Published - 1 Jan 2018 |
Publication series
| Name | Lecture Notes in Computational Science and Engineering |
|---|---|
| Volume | 125 |
ASJC Scopus subject areas
- Modelling and Simulation
- Engineering(all)
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Computational Mathematics
Cite this
A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations. / Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre Henri.
Domain Decomposition Methods in Science and Engineering XXIV. DD 2017. ed. / P. Bjorstad. Cham, Switzerland : Springer Verlag, 2018. p. 149-157 (Lecture Notes in Computational Science and Engineering; Vol. 125).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations
AU - Bonazzoli, Marcella
AU - Dolean, Victorita
AU - Graham, Ivan G.
AU - Spence, Euan A.
AU - Tournier, Pierre Henri
PY - 2018/1/1
Y1 - 2018/1/1
N2 - The construction of fast iterative solvers for the indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.
AB - The construction of fast iterative solvers for the indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.
UR - http://www.scopus.com/inward/record.url?scp=85060277513&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-93873-8_12
DO - 10.1007/978-3-319-93873-8_12
M3 - Chapter
AN - SCOPUS:85060277513
SN - 9783319938721
T3 - Lecture Notes in Computational Science and Engineering
SP - 149
EP - 157
BT - Domain Decomposition Methods in Science and Engineering XXIV. DD 2017
A2 - Bjorstad, P.
PB - Springer Verlag
CY - Cham, Switzerland
ER -