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Domain decomposition preconditioners for secondorder hyperbolic equations on L-shaped regions
Jin Xiao-Qing1; Wang Chiu-kwong2
1995-05
Source PublicationNumerical Mathematics, a Journal of Chinese Uniersities
ISSN1000-081X
Issue1Pages:8
Abstract

Linear systems arising from implicit time discretizations and finite difference space discretizations of second-order hyperbolic equations on L-shaped region are considered. We analyse the use of domain deocmposilion preconditioner.s for the solution of linear systems via the preconditioned conjuguate gradient method. For the constant-coefficient sencond-order hyperbolic equations with initial and Dirichlet boundary by , where x is the quotient between the time and steps. Such condition number produces a converage rate that is independent of gridsize and aspect ratios. The result could be extended to parabolic equations.

KeywordDomain Decomposition Hyperbolic Equation Capacitance Matrix Condition Number Preconditioned Conjugate Gradient Method
Indexed BySCIE
Language英语
Fulltext Access
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Affiliation1.Faculty of Science and Technologu, University of Macau, Macau
2.Department of Mathematics, University of Hong Kong, Hong Kong
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Jin Xiao-Qing,Wang Chiu-kwong. Domain decomposition preconditioners for secondorder hyperbolic equations on L-shaped regions[J]. Numerical Mathematics, a Journal of Chinese Uniersities,1995(1):8.
APA Jin Xiao-Qing,&Wang Chiu-kwong.(1995).Domain decomposition preconditioners for secondorder hyperbolic equations on L-shaped regions.Numerical Mathematics, a Journal of Chinese Uniersities(1),8.
MLA Jin Xiao-Qing,et al."Domain decomposition preconditioners for secondorder hyperbolic equations on L-shaped regions".Numerical Mathematics, a Journal of Chinese Uniersities .1(1995):8.
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