A Modified Polynomial Preserving Recovery and Its Applications to A Posteriori Error Estimates-中国期刊网

摘要 Amodifiedpolynomialpreservinggradientrecoverytechniqueisproposed.Unlikethepolynomialpreservinggradientrecoverytechnique,thegradientrecoveredwiththemodifiedpolynomialpreservingrecovery(MPPR)isconstructedelement-wise,anditisdiscontinuousacrosstheinterioredges.OneadvantageoftheMPPRtechniqueisthattheimplementationiseasierwhenadaptivemeshesareinvolved.SuperconvergenceresultsofthegradientrecoveredwithMPPRareprovedforfiniteelementmethodsforellipticboundaryproblemsandeigenvalueproblemsunderadaptivemeshes.TheMPPRisappliedtoadaptivefiniteelementmethodstoconstructasymptoticexactaposteriorierrorestimates.Numericaltestsareprovidedtoexaminethetheoreticalresultsandtheeffectivenessoftheadaptivefiniteelementalgorithms.

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A Modified Polynomial Preserving Recovery and Its Applications to A Posteriori Error Estimates

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A Modified Polynomial Preserving Recovery and Its Applications to A Posteriori Error Estimates

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