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

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

Mathematics And Statistics

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Abstract

The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at 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 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
Journal	Lecture Notes in Computational Science and Engineering
Publication status	Accepted/In press - 21 Feb 2018

Keywords

Maxwell equations
two-level domain-decomposition

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Bonazzoli-etal-LNCSE-2017-two-level-domain-decomposition-preconditioner-for-the-time-harmonic-Maxwells-equationsAccepted author manuscript, 133 KB

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title = "A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations",

abstract = "The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at 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 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.",

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AU - Bonazzoli, Marcella

AU - Dolean, Victorita

AU - Graham, Ivan G.

AU - Spence, Euan A.

AU - Tournier, Pierre-Henri

PY - 2018/2/21

Y1 - 2018/2/21

N2 - The construction of fast iterative solvers for the indefinite time-harmonic Maxwell's system at 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 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 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 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.

KW - Maxwell equations

KW - two-level domain-decomposition

UR - http://www.springer.com/series/3527

M3 - Article

SN - 1439-7358

JO - Lecture Notes in Computational Science and Engineering

JF - Lecture Notes in Computational Science and Engineering

ER -

A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations

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