DOMAIN DECOMPOSITION PRECONDITIONERS FOR SECOND-ORDER HYPERBOLIC EQUATIONS ON L-SHAPED REGIONS-中国期刊网

摘要 Linearsystemsarisingfromimplicittimediscretizationsandfinitedifferencespacediscretizationsofsecond-orderhyperbolicequationsonL-shapedregionareconsidered.Weanalysetheuseofdomaindeocmposilionpreconditioner.sforthesolutionoflinearsystemsviathepreconditionedconjugategradientmethod.Fortheconstant-coefficientsecond-orderhyperbolicequaionswithinitialandDirichletboundaryconditions,weprovethattheconditionnumberofthepreconditionedinterfacesystemisboundedby2+x22+0.46x2wherexisthequo-tientbetweenthelimeandspacesteps.Suchconditionnumberproducesaconvergenceralethatisindependentofgridsizeandaspectratios.Theresultscouldbeextendedtoparabolicequations.

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DOMAIN DECOMPOSITION PRECONDITIONERS FOR SECOND-ORDER HYPERBOLIC EQUATIONS ON L-SHAPED REGIONS

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DOMAIN DECOMPOSITION PRECONDITIONERS FOR SECOND-ORDER HYPERBOLIC EQUATIONS ON L-SHAPED REGIONS

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