简介：Inthisarticle,byusingthestabilityofCauchytypeintegralwhenthesmoothperturbationforintegralcurveandtheSobolevtypeperturbationforkerneldensityhappen,wediscussthestabilityofthesecondfundamentalprobleminplaneelasticitywhenthesmoothperturbationfortheboundaryoftheelasticdomain(unitdisk)andtheSobolevtypeperturbationforthedisplacementhappen.Andtheerrorestimateofthedisplacementbetweenthesecondfundamentalproblemanditsperturbedproblemisobtained.

简介：<正>IntroductionThefundamentalproblemsofahalfplanewithanisotropicelasticityandtheperiodicfundamentalproblemsofahalfplanewithisotropicelasticitywererespectivelyinvestigatedbyS.G.Leknitskii[1]andLuChien-ke[2].Theseproblemsareformulatedonthecornplexz-planeintermsof

简介：Inthispaper,anewnumericalmethodfortheSignoriniprobleminthree-dimensionalelasticityispresented.Theproblemisreducedtoaboundaryvariationalinequalitybasedonanewrepresentationofthederivativeofthedoublelayerpotential.Furthermore,aboundaryelementprocedureisdescribedforthenumericalapproximationofitssolutionandanabstracterrorestimateisgiven.

简介：CascadicmultigridtechniqueformortarWilsonfiniteelementmethodofhomogeneousboundaryvalueplanarlinearelasticityisdescribedandanalyzed.FirstthemortarWilsonfiniteelementmethodforplanarlinearelasticitywillbeanalyzed,andtheerrorestimateunderL2andH1normisoptimal.Thenacascadicmultigridmethodforthemortarfiniteelementdiscreteproblemisdescribed.Suitablegridtrans-feroperatorandsmootheraredevelopedwhichleadtoanoptimalcascadicmultigridmethod.Finally,thecomputationalresultsarepresented.

简介：这篇论文处理一新非与纯排水量边界状况为平面弹性问题遵守各向异性的矩形的有限元素近似。由这个元素的特殊性质的使用，；由介绍互补空间；一系列新奇技术，精力标准的最佳的错误估计；L[2]标准被获得。整齐假设的限制；在常规有限元素方法分析要求的网孔上的伪制服假设或反的假设将被舍弃；非一致的适用的范围有限元素被扩大。

简介：在这份报纸，我们考虑与一般抑制联系到线性有弹性的方程的一个半线性的概括夸张边界价值问题可变代表的术语和非线性打字。在合适的条件下面，本地、全球的存在定理被证明。答案的唯一被消除被另外的作者为不同特别问题强加了的一些假设得到了。我们证明有重要起始的资料的任何答案变得稳定。

简介：Inthispaper,aclassofnewimmersedinterfacefiniteelementmethods(IIFEM)isdevelopedtosolveelasticityinterfaceproblemswithhomogeneousandnon-homogeneousjumpconditionsintwodimensions.Simplenon-body-fittedmeshesareused.Forhomogeneousjumpconditions,bothnon-conformingandconformingbasisfunctionsareconstructedinsuchawaythattheysatisfythenaturaljumpconditions.Fornon-homogeneousjumpconditions,apairoffunctionsthatsatisfythesamenon-homogeneousjumpconditionsareconstructedusingalevel-setrepresentationoftheinterface.Withsuchapairoffunctions,thediscontinuitiesacrosstheinterfaceinthesolutionandfluxareremoved;andanequivalentelasticityinterfaceproblemwithhomogeneousjumpconditionsisformulated.Numericalexamplesarepresentedtodemonstratethatsuchmethodshavesecondorderconvergence.