An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems-中国期刊网

摘要 Theuniaxialperfectlymatchedlayer(PML)methodusesrectangulardomaintodefinethePMLproblemandthusprovidesgreaterflexibilityandefficiencyindeal-ingwithproblemsinvolvinganisotropicscatterers.InthispaperanadaptiveuniaxialPMLtechniqueforsolvingthetimeharmonicHelmholtzscatteringproblemisdevel-oped.ThePMLparameterssuchasthethicknessofthelayerandthefictitiousmediumpropertyaredeterminedthroughsharpaposteriorierrorestimates.TheadaptivefiniteelementmethodbasedonaposteriorierrorestimateisproposedtosolvethePMLequa-tionwhichproducesautomaticallyacoarsemeshsizeawayfromthefixeddomainandthusmakesthetotalcomputationalcostsinsensitivetothethicknessofthePMLabsorb-inglayer.Numericalexperimentsareincludedtoillustratethecompetitivebehavioroftheproposedadaptivemethod.Inparticular,itisdemonstratedthatthePMLlayercanbechosenasclosetoonewave-lengthfromthescattererandstillyieldsgoodaccuracyandefficiencyinapproximatingthefarfields.

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An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems

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An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems

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