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

doi:10.1007/978-3-319-93873-8_12

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

LJAD
University of Strathclyde
Institut d'Astrophysique de Paris

Research output: Chapter or section in a book/report/conference proceeding › Book chapter

6 Citations (SciVal)

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	https://doi.org/10.1007/978-3-319-93873-8_12
Publication status	Published - 1 Jan 2018

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	125

Funding

Acknowledgements This work has been supported in part by Agency (ANR), project MEDIMAX, ANR-13-MONU-0012.

ASJC Scopus subject areas

Modelling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-319-93873-8_12

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). 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. et al.
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 or section in a book/report/conference proceeding › Book chapter

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). doi: 10.1007/978-3-319-93873-8_12

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

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