简介:Inthispaper,weintroduceandstudyanewclassofquasivariationalinequalities.Using’essentiallytheprojectiontechniqueanditsvariantforms,weestablishtheequivalencebetweengeneralizednonlinearquasivariationalinequalitiesandthefixedpointproblems.Thisequivalenceisthenusedtosuggestandanalyzeanumberofnewiterativealgorithms.Thesenewresultsincludethecorrespondingknownresultsforgeneralizedquasivariationalinequalitiesasspecialcases.
简介:Problemsofinstabilityofrotatingatmosphericmotionsareinvestigatedbyusingnonlineargoverningequationsandthevariationalprinciple.Themethodsuggestedinthispaperisuniversalforobtainingcriteriaofinstabilityinallmodelswithallpossiblebasicflows.Forexample,themodelcanbebarotropicorbaroclinic,layerorcontinuous,quasi-geostrophicorprimitiveequations;thebasicflowcanbezonalornonzonal,steadyorunsteady.Althoughthebasicflowspossessagreatdealofvariety,theyallarethestationarypointsinthefunctionalspacedeterminedbyanappropriateinvariantfunctional.Thebasicflowisanunsteadyoneiftheconservationofangularmomentumisincludedintheassociatedfunctional.Thesecondvariation,linearornonlinear,givesthecriteriaofinstability.Especially,thegeneralcriteriaofinstabilityforunsteadybasicflow,orographicallydisturbedflowaswellasnongeostrophicflowarefirstobtainedbythemethoddescribedinthispaper.Itisalsosh
简介:ThispaperpresentstheparametricvariationalprincipleforPerzynamodelwhichisoneofthemainconstitutiverelationsofviscoplasticity.Theprinciple,bywhichthepotentialenergyfunctionisminimizedunderaconstrainedconditiontransformedbytheconstitutiverelationsofviscoplasticity,isfreefromtheboundofDrucker’spostulateofplasticflowandconsequentlysuitableforsolvingthenonassociatedplasticflowproblems.Furthermore,thepaperhasproventhepresentedprincipleanddiscussedthecreepproblem.
简介:WeanalyzethreeoneparameterfamiliesofapproximationsandshowthattheyaresympecticinLargrangiansenceandcanberelatedtosymplecticschemesinHamiltoniansensebydifferentsymplecticmapping.WealsogiveadirectgeneralizationofVeselovvariationalprinciplcforconstructionofschemeofhigherorderdifferentialequations.Atlast,wepresentnumericalexperiments.
简介:Inthispaper,weintroducedtherandommaterials,geometricalshapes,forceanddisplacementboundaryconditiondirectlyintothefunctionalvariationalformulationsanddevelopedaunifiedrandomvariationalprincipleandfiniteelementmethodwiththesmallparameterperturbationmethod.Numericalexamplesshowedthatthemethodshavetheadvantagesofthesimpleandconvenientprogramimplementation,andareeffectivefortherandommechanicsproblems.
简介:Anewsmoothingmethodisproposed.Thesmoothingprocessadaptstoimagecharacteristicsandisgoodatpreservinglocalimagestructures.Moreimportantly,inthetheoryundertheconditionsweakerthanthoseintheoriginalKacanovmethodanapproximalsequenceofsolutionstothevariationalproblemscanbeconstructedandtheglobalconvergencecanbeproved.AndtheconditionsinthepapersofSchn6rr(1994)andHeers,etal(2001)arediscussed.Numericalsolutionsofthemodelaregiven.
简介:Morerecently,avariationalapproachhasbeenproposedbyLinandWangfordampingmotionwithaLagrangianholdingtheenergytermdissipatedbyafrictionforce.However,themodifiedEuler-LagrangeequationobtainedwithintheirformalismleadstoanincorrectNewtonianequationofmotionduetothenonlocalityoftheLagrangian.Inthiscommunication,wegeneralizethisapproachbasedonthefractionalactionlikevariationalapproachandweshowthatundersomesimplerestrictionsconnectedtothefractionalparametersintroducedinthefractionalformalism,thisproblemmaybesolved.
简介:Inthispaperweusetheauxiliaryprincipletechniquetosuggestandanalyzenovelandinnovativeiterativealgorithmsforaclassofnonlinearvariationalinequalities.Severalspecialcases,whichcanbeobtainedfromourmainresults,arealsodiscussed.
简介:Thispaperwillchseussthegeneralizedvariationalprinetples.whichtheestablishedbythemethedofundeterminedmultipliersinstructures.andanalysthestatiedllyindeterminatetruss.inwhichtheseprincipleswillbeused.Atthesametimewebringasymmetricalmatrixandgivespeeitiesohution.thusalltheinternalforeesofstructuresmaybefound.
简介:当数字地为一艘轮船建模时,参数评价的精确性是批评的。有限制的一个参数评价方法被开发,基于变化方法。在变化方法的性能函数和限制方程被分析系统的输入和输出方程构造。参数评价的问题被转变成最少的广场评价的一个问题。参数评价方程被分析以便基于Lagrange增加操作员得到参数的一个优化评价。模拟结果证明这个方法比传统的最少的广场评价好,当识别参数时,生产更高的精确。它在象系统鉴定和参数评价那样的申请的区域有很重要的实际价值。关键词最少的广场评价-参数评价-变化方法-限制基础条款:不到资助号码2009由海军设备部门基础支持了(189)。我皮脂腺囊瘤史在1982出生了。他是在海军海底的学院的一个讲师,中国。他的当前的研究兴趣是海底的航行。
简介:WeproposethevariationaldescriptionofgeneratingfunctionapproachoffirstkindforHamil-tonianODEs,andextendtheapproachtothesemi-linearwaveequations.Inthisway,wecanconstructanyfiniteorderaccuracyscheme,andshowthattheresultingnumericalschemeismultisymplectic.Atlast,wepresentsomenumericalexperimentsbyusingderivednewscheme.
简介:1.IntroductionLetKbeanonemptyclosedconvexsubsetofR"andletF:R"-R"beacontinuousmapping.Avariationalinequalityproblem(VIP)istofindapointx*eKsuchthatThevariationalinequalityproblemmakesitswideappearanceinthestudyofvariousequilibriummodelsineconomics,oper...
简介:Therelationsofallgeneralizedvariationalprinciplesinelasticityarestudiedbyemployingtheinvariancetheoremoffieldtheory.Theinfinitesimalscaletransformationinfieldtheorywasemployedtoinvestigatetheequivalenttheorem.Amongtheresultsfoundparticularlyinterestingarethoserelatedtothatallgeneralizedvariationalprinciplesinelasticityareequaltoeachother.Alsostudiedresultisthatonlytwovariablesareindependentinthefunctionalandthestress-strainrelationisthevariationalconstraintconditionforallgeneralizedvariationalprinciplesinelasticity.ThisworkhasprovenagaintheconclusionofProf.ChienWei-zang.
简介:<正>Thispaperisconcernedwithanoptimalcontrolproblemforsemilinearellipticvariationalinequalitiesassociatedwithbilateralconstraints.Existenceandoptimalityconditionsoftheoptimalpairareestablished.
简介:Ekeland’svariationalprincipleisafundamentaltheoreminnonconvesanalysis.Itsgeneralstatementisasthefollowing:Ekeland’sVariationalPrinciple'’a:.LetVbeacompletemetricspace,andF:F—*-RU{+°°}alowersemicontinuousfunction,notidentically+00andboundedfrom,below.Lets>0begiven,andapointu^VsuchthatF(u)