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简介：AnewstabilizedfiniteelementmethodwhichisdifferentfromHughesandFranco’s(1988)ispresentedfortheReissner-Mindlinplatemodel.Theleastsquaremesh-dependentresidualformoftheshearconstituteequationisaddedtothePartialProjectionschemetoenhancethestability.Usingpiecewisepolynomialsoforderk≥1fortherotations,oforderk+1forthedisplacementandoforderk-1fortheshear,thekthordererror-estimatesareobtained.Besides,ourcomputingschemecanbealsoappliedtosomelowerorderelements.Allerror-estimatesareobtainedindependentoftheplatethickness,andthestabilityparameterisanarbitrarypositiveconstant.

简介：Abstract.Usingthemethodofundeterminedfunction,asetof12parameterrectangularp|atedementwithdoub[esetparameterandgeometrysymmetryisconstructed.TheirconsistencyerrorareO(h2),oneorderhigherthantheusua[12parameterrectangu|arp[ateelements.

简介：Inthispaper,weinvestigateahorizontalLaplacianversionoftheclampedplateproblemonCarnotgroupsandobtainsomeuniversalinequalities.Furthermore,forthelowerordereigenvaluesofthiseigenvalueproblemoncarnotgroups,wealsogivesomeuniversalinequalities.

简介：这份报纸为1-D板方程wtt+wxxxx+q处理锋利的observability不平等的问题(t，x)0边界与二打的w=调节w=wxx=0或w=wx=0，并且q(t，x)是一个合适的潜力。锋利的observability常数具有的作者表演订$\exp\left({C\left\|q\right\|_\infty^{\tfrac{2}{7}}}\right)$\exp\left({C\left\|q\right\|_\infty^{\tfrac{2}{7}}}\right)为q1。导出需要的observability不平等的主要工具是全球Carleman不平等，基于一个新点为第四个顺序板操作员的明智的不平等。

简介：Wepresnetabriefintroductionofapplyingtheideaofmortarmethodtolocallynon-conformingTRUNCelementforsolvingplatebendingproblem.Attheinterfaces,threemortarconditions,oneforthevalueofsolutioninpointwiseway,theothertwoforthenormalandtan-gentialderivativesofthesolutioninprojectionway,areprovidedtosecuretheglobalconver-gence.Aftesomedetailedanalysis,weobtainthatitserrorestimatesinbothenergynormanddis-creteH1normareoptimalforu*∈H3(Ω)∩H20(Ω).

简介：Inthispaper,anoptimalV-cyclemultigridmethodforsomeconformingandnonconformingplateelementsareconstructed.Anewmethoddealingwithnonnestedmultigridmethodsispresented.

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