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

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

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

ASJC Scopus subject areas

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

Access to Document

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 › Chapter or section

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

@inbook{7ff49cbda1b44db395b66ee8efc16bd3,

title = "A two-level domain-decomposition preconditioner for the time-harmonic maxwell{\textquoteright}s equations",

abstract = "The construction of fast iterative solvers for the indefinite time-harmonic Maxwell{\textquoteright}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.",

author = "Marcella Bonazzoli and Victorita Dolean and Graham, {Ivan G.} and Spence, {Euan A.} and Tournier, {Pierre Henri}",

year = "2018",

month = jan,

day = "1",

doi = "10.1007/978-3-319-93873-8_12",

language = "English",

isbn = "9783319938721",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer Verlag",

pages = "149--157",

editor = "P. Bjorstad",

booktitle = "Domain Decomposition Methods in Science and Engineering XXIV. DD 2017",

}

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 or section

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 -

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

Abstract

Publication series

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this