An Optimized Schwarz Method with Two-Sided Robin Transmission Conditions for the Helmholtz Equation

Gander, Martin Jakob; Halpern, Laurence; Magoules, Frédéric

doi:10.1002/fld.1433

Scientific article

Open access

English

An Optimized Schwarz Method with Two-Sided Robin Transmission Conditions for the Helmholtz Equation

ContributorsGander, Martin Jakob; Halpern, Laurence; Magoules, Frédéric

Published inInternational journal for numerical methods in fluids, vol. 55, no. 2, p. 163-175

Publication date2007

Abstract

A new optimized non-overlapping Schwarz method for Helmholtz problems which use the two-sided Robin transmission conditions is proposed in this article, i.e., a different Robin condition for neighboring subdomains at their common interface. By optimizing the parameters in the Robin conditions it is shown that for a fixed frequency

Keywords

Schwarz domain decomposition methods
transmission conditions
Helmholtz equation
acoustics
convergence
numerical experiments

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

GANDER, Martin Jakob, HALPERN, Laurence, MAGOULES, Frédéric. An Optimized Schwarz Method with Two-Sided Robin Transmission Conditions for the Helmholtz Equation. In: International journal for numerical methods in fluids, 2007, vol. 55, n° 2, p. 163–175. doi: 10.1002/fld.1433

Article (Accepted version)

Identifiers

PID : unige:6270
DOI : 10.1002/fld.1433

ISSN of the journal0271-2091

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An Optimized Schwarz Method with Two-Sided Robin Transmission Conditions for the Helmholtz Equation

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