A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations

Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre Henri Tournier

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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.

LanguageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIV. DD 2017
EditorsP. Bjorstad
Place of PublicationCham, Switzerland
PublisherSpringer Verlag
Pages149-157
Number of pages9
ISBN (Electronic)9783319938738
ISBN (Print)9783319938721
DOIs
StatusPublished - 1 Jan 2018

Publication series

NameLecture Notes in Computational Science and Engineering
Volume125

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Cite this

Bonazzoli, M., Dolean, V., Graham, I. G., Spence, E. A., & Tournier, P. H. (2018). A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations. In P. Bjorstad (Ed.), Domain Decomposition Methods in Science and Engineering XXIV. DD 2017 (pp. 149-157). (Lecture Notes in Computational Science and Engineering; Vol. 125). Cham, Switzerland: Springer Verlag. https://doi.org/10.1007/978-3-319-93873-8_12

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 proceedingChapter

Bonazzoli, M, Dolean, V, Graham, IG, Spence, EA & Tournier, PH 2018, A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations. in P Bjorstad (ed.), Domain Decomposition Methods in Science and Engineering XXIV. DD 2017. Lecture Notes in Computational Science and Engineering, vol. 125, Springer Verlag, Cham, Switzerland, pp. 149-157. https://doi.org/10.1007/978-3-319-93873-8_12
Bonazzoli M, Dolean V, Graham IG, Spence EA, Tournier PH. A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations. In Bjorstad P, editor, Domain Decomposition Methods in Science and Engineering XXIV. DD 2017. Cham, Switzerland: Springer Verlag. 2018. p. 149-157. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-319-93873-8_12
Bonazzoli, Marcella ; Dolean, Victorita ; Graham, Ivan G. ; Spence, Euan A. ; Tournier, Pierre Henri. / A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations. Domain Decomposition Methods in Science and Engineering XXIV. DD 2017. editor / P. Bjorstad. Cham, Switzerland : Springer Verlag, 2018. pp. 149-157 (Lecture Notes in Computational Science and Engineering).
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