简介：在一个双性人上认为时间泛音是电磁的飞机波浪事件在R3的周期的结构。周期的结构分开二个同类的区域。在结构内的medimn是chiral并且非同类。在这篇论文，在周期的接口上与一个方法或不可分的方程在chiral媒介联合有限元素方法的变化明确的表达被学习。well-posedness连续并且discretized问题被建立。为联合的一致集中模型问题的变化近似被获得。

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简介：Themillrollerbeatingismadeupofaninternalring,middlerollsandanexternalring,theanalysisofwhiehisamulti-bodiescontactproblem.Inthispaper,basedonthethree-dimensionalelasticcontactBEMwithoutfriction,andusingthestructuralcharacteristicsofrollerbearings,middlerollsarede-scribedbyelasticplateunitsofdifferentshapes,whichisplacedontheinternalring.Thediscontinuoustractionproblemofthecontactelementcanbedealtwithbythetractionsub-elementmethod.Thereforethecontactproblemcanbechangedfroinoneofmulti-bodiestooneoftwo-bodies.Asanelasticdeformationoftheplateelement,itcanbecalculatedbyanelasticcontactformulaandisregardedananequivalentgaptobeputintothetotalmatrixequality.Theface-to-facecontactconditionofdisplacementandtractionontheelementwillnerveastheconvergencejudgingcondition.Soconvergencesolutioncanbeobtainedbeforeanygeometryinconsistentonthecontactelementmaytakeplace.Therefore,thethree-dimensionaldistributionofloadofthemillrollerbearingcanbeachieved,Ithasbeenprovedthatthecalculatingmodelofthismethodisvisualizedandsimple,haslastconvergencesolutionandhigheraccuracy,makingitaneffectivenumericalmethodofdesigningandanalyzingloadcharacteristicsofthemillrollerbearing.

简介：Inthispaper,weinvestigatethecouplingofnaturalboundaryelementandfiniteelementmethodsofexteriorinitialboundaryvalueproblemsforhyperbolicequations.Thegoverningequationisfirstdiscretizedintime,leadingtoatime-stepscheme,whereanexteriorellipticproblemhastobesolvedineachtimestep.Second,acircularartificialboundaryFRconsistingofacircleofradiusRisintroduced,theoriginalprobleminanunboundeddomainistransformedintothenonlocalboundaryvalueprobleminaboundedsubdomain.AndthenaturalintegralequationandthePoissonintegralformulaareobtainedintheinfinitedomainΩ2outsidecircleofradiusR.Thecoupledvariationalformulationisgiven.Onlythefunctionitself,notitsnormalderivativeatartificialboundaryΓR,appearsinthevariationalequation,sothattheunknownnumbersarereducedandtheboundaryelementstiffnessmatrixhasafewdifferentelements.Suchacoupledmethodissuperiortotheonebasedondirectboundaryelementmethod.Thispaperdiscussesfiniteelementdiscretizationforvariationalproblemanditscorrespondingnumericaltechnique,andtheconvergenceforthenumericalsolutions.Finally,thenumericalexampleispresentedtoillustratefeasibilityandefficiencyofthismethod.

简介：ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｏｕｇｈｓｉｎｇｕｌａｒＢｏｕｎｄａｒｙｅｌｅｍｅｎｔｉｓｒｅｇａｒｄｅｄａｓａｋｉｎｄｏｆｗｅｉｇｈｔｅｄｒｅｓｉｄｕａｌｓ，ｔｈｅｓｉｎｇｕｌａｒｂｏｕｎｄａｒｙｅｌｅｍｅｎｔｈａｓａｕｎｉｑｕｅｃｈａｒａｃｔｅｒｉｓ...

简介：Anewhigh-ordertime-steppingfiniteelementmethodbaseduponthehigh-ordernumericalintegrationformulaisformulatedforSobolevequations,whosecomputationsconsistofaniterationprocedurecoupledwithasystemoftwoellipticequations.Theoptimalandsuperconvergenceerrorestimatesforthisnewmethodarederivedbothinspaceandintime.Also,aclassofnewerrorestimatesofconvergenceandsuperconvergenceforthetime-continuousfiniteelementmethodisdemonstratedinwhichtherearenotimederivativesoftheexactsolutioninvolved,suchthattheseestimatescanbeboundedbythenormsoftheknowndata.Moreover,someusefula-posteriorierrorestimatorsaregivenonthebasisofthesuperconvergenceestimates.

简介：本文研究具有混合边界条件半导体方程的近似解，给出了两种近似格式：Ｇａｌｅｒｋｉｎ离散格式和混合变量离散格式，同时还给出了误差分析

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简介：Inthisnotewecharacterizethegeometricfactureofa(μ,r,k)-FES.Namely,foraC~μtriangularin-terpolationschcmewithC~rvertexdata,anyangleofthemacrotrianglemustbedividedintoatleast(μ+1)/(r+1-μ)parts.

简介：这篇论文在各向异性的矩形的网孔的班上处理双线性的有限元素的高精确性分析。各向异性的网孔上的反的不平等被建立。超级结束和超级集中被获得因为第二订椭圆形的问题。数字测试被给，它与我们的理论分析与一致。

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简介：Accordingtothelower-boundtheoremoflimitanalysistheRigidFiniteElementMeth-od(RFEM)isappliedtostructurallimitanalysisandthelinearprogrammingsforlimitanalysisarededucedinthispaper.Moreover,theThermo-ParameterMethod(TPM)andParametricVariationalprinciples(PVP)areusedtoreducethecomputationaleffortwhilemaintainingtheaccuracyofsolutions.Abettersolutionisalsoobtainedinthispaper.

简介：Inthispaper,notonlyvariouscharacterizationsofcentralelementofmatrixringaregiven,butalsotheindexofcentralelementofmatrixringisdecided.Finally,anaddition-aldiscussiononthoseproblemsisprovidedtoo.1Introduction

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简介：Inthispaper,westudythesemi-discretemortarupwindfinitevolumeelementmethodwiththeCrouzeix-Raviartelementfortheparabolicconvectiondiffusionproblems.Itisprovedthatthesemi-discretemortarupwindfinitevolumeelementapproximationsderivedareconvergentintheH~1-andL~2-norms.

简介：Afiniteelement/boundaryelement—modifiedmodaldecompositionmethod(FBMMD)ispresentedforpredictingthevibrationandsoundradiationfromsubmergedshellofrevolution.Im-provementhasbeenmadetoacceleratetheconvergencetoFBMDmethodbymeansofintroducingtheresidualmodeswhichtakeintoaccountthequasi-statecontributionofallneglectedmodes.Asanexample,thevibrationandsoundradiationofasubmergedsphericalshellexcitedbyaxisymmetricforcearestudiedincasesofka=1,2,3and4.FromthecalculatedresultsweseethattheFBMMDmethodshowsasignificantimprovementtotheaccuracyofsurfacesoundpressure,normaldisplace-mentanddirectivitypatternsofradiatingsound,especiallytothedirectivitypatterns.

简介：ThetransientbehaviorofasemiconductordeviceconsistsofaPoissonequationfortheelectricpotentialandoftwononlinearparabolicequationsfortheelectrondensityandholedensity.Theelectricpotentialequationisdiscretizedbyamixedfiniteelementmethod.Theelectronandholedensityequationsaretreatedbyimplicit-explicitmultistepfiniteelementmethods.Theschemesareveryefficient.Theoptimalordererrorestimatesbothintimeandspacearederived.

简介：Thequasi-conformingelementofthecurvedbeamandshallowcurvedbeamisgiveninthispaper.Numericalexamplesillustratethatthequasi-conformingelementsofthecurvedbeamandshallowcurvedbeamWhichisusedtoaooroximatethecurvedbeamhavebetteraccuracythanthestraightbeamelement.Thecurvedbeamelementconstructedbydisplacementmethodcannotsatislyrigidbodymotionconditionandthevervfinegridshavetobeusedinordertosatisfyrigidbodymotionconditionapproximately.Inthispaperitisprovedthatthestraightbeamelementandthequasi-conformingelementofthecurvedbeamandshallowcurvedbeam.whenelementsizeisreducedinfinitely,haveconvergenceratewiththesameorderO(l~2)andwhenregulurelementsareused,Iistheelementlength.

简介：TheFiniteAnalyticMethod(FAM)isanewnumericalmethodforsolvingNavier-Stokesequations.However,oncomplexgeometricdomainsthismethodmustemploytheboundary-fittedcoordinatetransformation,whichbecomesverydifficultforsomeflowregions.Inthispaper,theIsoparametricElement,whichhasbeenwidelyusedintheFiniteElementMethod,isincorporatedintotheFAM.Theflowregionissubdividedintoanumberofsmallar-bitaryquadrilaterals,andeachelementistransformedintoasquareelementbytheshapefunc-tionsofIsoparametricElement.ThenthepartialdifferentialequationsonthesquareelementcanbesolvedbytheFAM.Asanexample,theflowintubebundleshasbeencalculatedbythismethod.

简介：Inthispaper,weintroducedtherandommaterials,geometricalshapes,forceanddisplacementboundaryconditiondirectlyintothefunctionalvariationalformulationsanddevelopedaunifiedrandomvariationalprincipleandfiniteelementmethodwiththesmallparameterperturbationmethod.Numericalexamplesshowedthatthemethodshavetheadvantagesofthesimpleandconvenientprogramimplementation,andareeffectivefortherandommechanicsproblems.