A MPI PARALLEL PRECONDITIONED SPECTRAL ELEMENT METHOD FOR THE HELMHOLTZ EQUATION

(整期优先)网络出版时间:2005-01-11
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Spectralelementmethodiswellknownashigh-ordermethod,andhaspotentialbetterparallelfeatureascomparedwithlowordermethods.Inthispaper,aparallelpreconditionedconjugategradientiterativemethodisproposedtosolvingthespectralelementapproximationoftheHelmholtzequation.Theparallelalgorithmisshowntohavegoodperformanceascomparedtononparallelcases,especiallywhenthestiffnessmatrixisnotmemorized.Aseriesofnumericalexperimentsinonedimensionalcaseiscarriedouttodemonstratetheefficiencyoftheproposedmethod.