AN UNFITTED hp-INTERFACE PENALTY FINITE ELEMENT METHOD FOR ELLIPTIC INTERFACE PROBLEMS

作者:HaijunWu;YuanmingXiao 刊名:计算数学:英文版 上传者:徐树建

【摘要】Anhpversionofinterfacepenaltyfiniteelementmethod(hp-IPFEM)isproposedtosolvetheellipticinterfaceproblemsintwoandthreedimensionsonunfittedmeshes.ErrorestimatesinbrokenH1norm;whichareoptimalwithrespecttohandsuboptimalwithrespecttopbyhalfanorderofp;arederived.Bothsymmetricandnon-symmetricIPFEMareconsidered.ErrorestimatesinL^2normareprovedbythedualityargument.Alltheestimatesareindependentofthelocationoftheinterfacerelativetothemeshes.Numericalexamplesareprovidedtoillustratetheperformanceofthemethod.ThispaperisadaptedfromtheworkoriginallypostonarXiv.combythesameauthors(arXiv:1007.2893v1).

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