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  • 简介:Inthisarticlewedefineasurfacefiniteelementmethod(SFEM)forthenumericalsolutionofparabolicpartialdifferentialequationsonhypersurfacesFinR~(n+1).ThekeyideaisbasedontheapproximationofFΓbyapolyhedralsurfaceΓ_hconsistingofaunionofsimplices(trianglesforn=2,intervalsforn=1)withverticesonF.AfiniteelementspaceoffunctionsisthendefinedbytakingthecontinuousfunctionsonΓ_hwhicharelinearaffineoneachsimplexofthepolygonalsurface.WeusesurfacegradientstodefineweakformsofellipticoperatorsandnaturallygenerateweakformulationsofellipticandparabolicequationsonΓ.Ourfiniteelementmethodisappliedtoweakformsoftheequations.Thecomputationofthemassandelementstiffnessmatricesaresimpleandstraightforward.Wegiveanexampleoferrorboundsinthecaseofsemi-discretizationinspaceforafourthorderlinearproblem.Numericalexperimentsaredescribedforseverallinearandnonlinearpartialdifferentialequations.Inparticularthepowerofthemethodisdemonstratedbyemployingit,tosolvehighlynonlinearsecondandfourthorderproblemssuchassurfaceAllen-CahnandCahn-Hilliardequationsandsurfacelevelsetequationsforgeodesicmeancuryatureflow.

  • 标签: 表面偏微分方程 表面有限元法 测地曲率 三角形表面 抛物线方程
  • 简介:Thispaperdealswithmodelgenerationforequationaltheories,i.e.,automaticallygenerating(finite)modelsofagivensetof(logical)equations.Ourmethodoffinitemodelgenerationandatoolforautomaticconstructionoffinitealgebrasisdescribed.Someexamplesaregiventoshowtheapplicationsofourprogram.Wearguethat,thecombinationofmodelgeneratorsandtheoremproversenablesustogetabetterunderstandingoflogicaltheories.Abriefcomparisonbetwweenourtoolandothersimilartoolsisalsopresented.

  • 标签: 有限代数 自动化理论 有限模型产生
  • 简介:§1.IntroductionIn[1],R.SchoenandS.T.Yanusedharmonicmaptostudythetopologyofanon-compactcompletestablehypersurfaceinamanifoldofnon-negativecurvature.Essentiallythemethodistoprovefirstthenonexistenceofsomekindofnonconstantharmonicmapandthentodrawtherelativeconclusionsconcerningthetopology.Suchnonexistencetheoremshavebeenobtainedin[3]and[4]incaseswheretheconcernedmanifoldsarecompact.Theaimofthispaperistostudythenon-compactcompletecase.Ourmainresultscanbestatedasfollows.

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  • 简介:我们首先在这份报纸决定概括恰当的亚群F的结构*有限的组G的(G)所有其缺点组(块)在自守组Aut(G)下面结合到Sylowp亚群或G的固定p亚群。那么,我们证明如果有限的组L对它的合适的Sylowp交叉的集合及物地起作用,那么,任何一个L/Op(L)有T.ISylowp亚群或p=2并且L/O2(L)的Sylow2亚群的正常闭合是2-nilpotent与完全descripted结构。这解决一个长打开问题。我们也在一半传递性上由以撒和普通及格学生获得经典结果的一些归纳。

  • 标签: 有限群 广义FITTING子群 SYLOW P-子群 自同构群 2-幂零
  • 简介:Inthispaper,weshallprovethatforanypositiveintergern,thereexistsnon-trivialcommutativefinitesemigroupofidempotentconsistingofsomen×nrealquaternionmatri-ceswhichislowersemilattice.Intheprocessofsolvingthisproblemweshallseethatmanypropertiesofgeneralizedinversesforcomplexmatricesstillholdforquaternionsma-

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  • 简介:Theballoon-basedcathetersareattractivefortheminimallyinvasiveproceduresbecausethesecatheterscanbeconfiguredtomatchrequirementsonsizeandshapefortheinteractionwiththesofttissue.Ananalyticalmechanicmodelisdevelopedforthedeformedballoontodeterminetheshapeoftheinflatedcatheter.Thebridgesalonglatitudinaldirectionshouldbehighstretchableduetothehighelongationalongthelatitudeoftheinflatablecatheter.Theseresultsagreewellwiththefiniteelementmethodwithoutanyparameterfitting.

  • 标签: 球囊导管 有限变形 有限元方法 相互作用 力学模型 高伸缩性
  • 简介:Anewhigh-ordertime-steppingfiniteelementmethodbaseduponthehigh-ordernumericalintegrationformulaisformulatedforSobolevequations,whosecomputationsconsistofaniterationprocedurecoupledwithasystemoftwoellipticequations.Theoptimalandsuperconvergenceerrorestimatesforthisnewmethodarederivedbothinspaceandintime.Also,aclassofnewerrorestimatesofconvergenceandsuperconvergenceforthetime-continuousfiniteelementmethodisdemonstratedinwhichtherearenotimederivativesoftheexactsolutioninvolved,suchthattheseestimatescanbeboundedbythenormsoftheknowndata.Moreover,someusefula-posteriorierrorestimatorsaregivenonthebasisofthesuperconvergenceestimates.

  • 标签: ERROR ESTIMATES FINITE element SOBOLEV equation
  • 简介:Whethertheconceptofeffectivestressandstraininelastic-plastictheoryisstillvalidundertheconditionoffinitedeformationwasmainlydiscussed.Theuni-axialcompressionexperimentsinplanestressandplanestrainstateswerechosenforstudy.Inthetwokindsofstressstates,thestress-straincurvedescribedbylogarithmstrainandrotatedKirchhoffstressmatchestheexperimentsdatabetterthanthecurvesdefinedbyotherstressstraindescription.

  • 标签: 有效压力 有效张力 有限变形 弹塑性理论 固体力学 体积不变性
  • 简介:为食物可描绘的操作建模,食物供应链的特征被学习。论文的目的是造食物可描绘的一个抽象模型,并且获得食物可描绘和食物安全的更好的理解。基于消费者寻找可描绘信息的行为的分析,为食物可描绘的有限州的自动机被使用自动机介绍理论。食物供应链的状态被一张州的转变图代表。在这份报纸的自动机模仿全部食物供应链并且为行为描述和一个食物可描绘系统的结构的设计提供一个理论基础。

  • 标签: 有限状态自动机 模拟食品 食品供应链 可追溯性 自动机理论 状态转换图
  • 简介:Inthisnotewecharacterizethegeometricfactureofa(μ,r,k)-FES.Namely,foraC~μtriangularin-terpolationschcmewithC~rvertexdata,anyangleofthemacrotrianglemustbedividedintoatleast(μ+1)/(r+1-μ)parts.

  • 标签: VERTEX TRIANGULAR facture characterize SPLIT TRIANGLE
  • 简介:在这篇论文,我们学习有限复杂性的selfinjectiveKoszul代数学。当它是有限的时,我们证明复杂性是一个非否定的整数;并且范畴Jin郭云电子邮件:gjy@xtu.edu.cn全文预览(小,大)src=“http://ads.link.valueclick.net/jsmaster”type=text/javascript>type=text/javascript>如果(ValueLoaded)ValueShowAd();language=JavaScriptsrc=...http://ads.link.valueclick.net/cycle?host=hs0005647&b=pagebuster.183&v=1.2.20&c=00&hcat=M100&kissn=1439-7617&kkeyword=selfinjectiveKoszul代数学,复杂性,斜组代数学,平淡的对称的代数学,16G60,16G20,有限complexity&aid=1439-7617&pid=10.1007/s10114-009-6703-0&bso=listed&msizes=468x60&t=js的16D50&kdoi=10.1007/s10114-009-6703-0&ktitle=SelfinjectiveKoszul代数学...>...>var闪光名字...“...”;varaltImgName=“http://cdn.valueclick.net/hg/0120/a0120602/Springer_TOC_Alerts.gif”;varxmlfile=“http://cdn.valueclick.net/hg/0120/a0120602/sgwIssnJournalMapping.xml”;varminFlashVer=5;var宽度=468;var高度=60;var按标签=“http://ads.link.valueclick.net/redirect?host=h0005647;size=468x60;t=js;c=00;target_id=0;hcat=M100;aid=1439-7617;pid=10.1007/s10114-009-6703-0;banner=a0120602;vcurlpreserve=”;vargifclickTAG=“http://ads.link.valueclick.net/redirect?host=h0005647;size=468x60;t=js;c=00;target_id=0;hcat=M100;aid=1439-7617;pid=10.1007/s10114-009-6703-0;banner=a0120602;vcurlpreserve=”;var插件=0;vard=文件;如果(navigator.mimeTypes&&navigator.mimeTypes[“application/x-shockwave-flash”]&&navigator.mimeTypes[“application/x-shockwave-flash”].enabledPlugin){如果(navigator.plugins&&navigator.plugins[“冲击波闪光”])varswver=(navigator.plugins[“冲击波闪光”].description.split(''))[2];如果(swver>=minFlashVer)插件=1;}另外如果(navigator.userAgent&&navigator.userAgent.indexOf(“MSIE”)>=0&&(navigator.u

  • 标签: 复杂性 外代数 有限 内射 格拉斯曼流形 代数表示理论
  • 简介:Theauthorsstudyrecursivestructureswith'finitememory'inEuclideanmatricspaceandthemultifractaldecompositionofthecorrespondingfractals.Foranytwopositivenumbersq,β,andsucharecursivestructure,alinearoperatorV~(q,β)infinitedimensionalspaceisdefined.ThemultifractalspectrumisgivenbythespectralradiusofV~(q,β).

  • 标签: 光谱 有限存储器 半径 分解方法
  • 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。

  • 标签: 超收敛分析 各向异性 双线性有限元分析 精确性
  • 简介:Accordingtothelower-boundtheoremoflimitanalysistheRigidFiniteElementMeth-od(RFEM)isappliedtostructurallimitanalysisandthelinearprogrammingsforlimitanalysisarededucedinthispaper.Moreover,theThermo-ParameterMethod(TPM)andParametricVariationalprinciples(PVP)areusedtoreducethecomputationaleffortwhilemaintainingtheaccuracyofsolutions.Abettersolutionisalsoobtainedinthispaper.

  • 标签: RIGID finite element METHOD Limit analysis
  • 简介:Inthispaper,alargeclassofndimensionalorthogonalandbiorthognalwaveletfilters(lowpassandhighpass)arepresentedinexplicitexpression.Wealsocharacterizeorthogonalfilterswithlinearphaseinthiscase.Someexamplesarealsogiven,includingnonseparableorhogonalandbiorthogonalfilterswithlinearphase.

  • 标签: 有限小波滤子 显式表示 正交滤子 线性相 双正交滤子
  • 简介:ThetransientbehaviorofasemiconductordeviceconsistsofaPoissonequationfortheelectricpotentialandoftwononlinearparabolicequationsfortheelectrondensityandholedensity.Theelectricpotentialequationisdiscretizedbyamixedfiniteelementmethod.Theelectronandholedensityequationsaretreatedbyimplicit-explicitmultistepfiniteelementmethods.Theschemesareveryefficient.Theoptimalordererrorestimatesbothintimeandspacearederived.

  • 标签: 瞬时性态 半导体元件 混合有限元法 多步法 强稳定性 Poisson方程
  • 简介:Themathematicalmodelofsemiconductordevicesisdescribedbytheinitialboundaryvalueproblemofasystemofthreenonlinearpartialdifferentialequations.Oneequationinellipticformisfortheelectrostaticpotential;twoequationsofconvection-dominateddiffusiontypearefortheelectronandholeconcentrations.Finitevolumeelementprocedureareputforwardfortheelectrostaticpotential,whileupwindvolumeelementschemesforthetwoconcentrationequations.ErrorestimatesinL2normforournumericalschemesarederived.

  • 标签: 迎风有限体积概型 初值问题 非线性偏微分方程 数学模型 半导体
  • 简介:TheFiniteAnalyticMethod(FAM)isanewnumericalmethodforsolvingNavier-Stokesequations.However,oncomplexgeometricdomainsthismethodmustemploytheboundary-fittedcoordinatetransformation,whichbecomesverydifficultforsomeflowregions.Inthispaper,theIsoparametricElement,whichhasbeenwidelyusedintheFiniteElementMethod,isincorporatedintotheFAM.Theflowregionissubdividedintoanumberofsmallar-bitaryquadrilaterals,andeachelementistransformedintoasquareelementbytheshapefunc-tionsofIsoparametricElement.ThenthepartialdifferentialequationsonthesquareelementcanbesolvedbytheFAM.Asanexample,theflowintubebundleshasbeencalculatedbythismethod.

  • 标签: FINITE ANALYTIC method NAVIER-STOKES equation isoparametric