EQrot1 Nonconforming Finite Element Method for Nonlinear Dual Phase Lagging Heat Conduction Equations-中国期刊网

摘要 EQrot1nonconformingfiniteelementapproximationtoaclassofnonlineardualphaselaggingheatconductionequationsisdiscussedforsemi-discreteandfully-discreteschemes.Byuseofaspecialproperty,thatis,theconsistencyerrorofthiselementisoforderO(h2)oneorderhigherthanitsinterpolationerrorO(h),thesupercloseresultsoforderO(h2)inbrokenH1-normareobtained.Atthesametime,theglobalsuperconvergenceinbrokenH1-normisdeducedbyinterpolationpostprocessingtechnique.Moreover,theextrapolationresultwithorderO(h4)isderivedbyconstructinganewinterpolationpostprocessingoperatorandextrapolationschemebasedontheknownasymptoticexpansionformulasofEQrot1element.Finally,optimalerrorestimateisgainedforaproposedfully-discreteschemebydifferentapproachesfromthepreviousliterature.

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EQrot1 Nonconforming Finite Element Method for Nonlinear Dual Phase Lagging Heat Conduction Equations

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EQrot1 Nonconforming Finite Element Method for Nonlinear Dual Phase Lagging Heat Conduction Equations

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