Convergence of the domain decomposition finite element-boundary element coupling methods

M. El-Gebeily; Wael M. Elleithy; Husain J. Al-Gahtani

doi:10.1016/S0045-7825(02)00405-X

Convergence of the domain decomposition finite element-boundary element coupling methods

M. El-Gebeily^*, Wael M. Elleithy, Husain J. Al-Gahtani

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example problems are given for elaboration.

Original language	English
Pages (from-to)	4851-4867
Number of pages	17
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	191
Issue number	43
DOIs	https://doi.org/10.1016/S0045-7825(02)00405-X
State	Published - 27 Sep 2002

Keywords

Boundary element method
Convergence
Coupling
Domain decomposition
Finite element method

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/S0045-7825(02)00405-X

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title = "Convergence of the domain decomposition finite element-boundary element coupling methods",

abstract = "In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example problems are given for elaboration.",

keywords = "Boundary element method, Convergence, Coupling, Domain decomposition, Finite element method",

author = "M. El-Gebeily and Elleithy, {Wael M.} and Al-Gahtani, {Husain J.}",

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T1 - Convergence of the domain decomposition finite element-boundary element coupling methods

AU - El-Gebeily, M.

AU - Elleithy, Wael M.

AU - Al-Gahtani, Husain J.

PY - 2002/9/27

Y1 - 2002/9/27

N2 - In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example problems are given for elaboration.

AB - In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example problems are given for elaboration.

KW - Boundary element method

KW - Convergence

KW - Coupling

KW - Domain decomposition

KW - Finite element method

UR - http://www.scopus.com/inward/record.url?scp=0037184249&partnerID=8YFLogxK

U2 - 10.1016/S0045-7825(02)00405-X

DO - 10.1016/S0045-7825(02)00405-X

M3 - Article

AN - SCOPUS:0037184249

SN - 0045-7825

VL - 191

SP - 4851

EP - 4867

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 43

ER -

Convergence of the domain decomposition finite element-boundary element coupling methods

Abstract

Keywords

ASJC Scopus subject areas

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