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简介：有在一个紧缩的公制的空格的固定和更低的pseudocontinuity的优化问题的一个类的最小的解决方案的必要稳定性的描述被给。它证明这里考虑的任何优化问题分别地有一个必要部件一个必要最小的答案如果并且仅当它的最小的答案集合分别地被连接单条和那有一个唯一的最小的答案的那些优化问题然而形成一个剩余集合，它不必稠密。

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简介：Wearecurrentlyfacedwithanagingpopulation,whichisrapidlygrowingworldwide.Twothirdsofcanceroccursintheover65-yearagegroup.Societalconceptionsfromthepasthavecreatedageiststereotypes;oldageisassociatedwithfrailtyandtheelderlyareperceivedtobedestinedfordeteriorationandlossofindependence.Cancerwithintheelderlyisalsosubjecttothesestereotypes,withelderlycancerpatientsconsideredbysomenotaslikelytorecoverasyoungerpatientswithcancer.Wesummariseandreviewthecurrentconcernsregardingelderlymanagementandtreatmentsutilisedforthemanagementofoncologicaldiseaseintheelderly,anddiscusstheimpactofunder-treatmentwithinthispopulation.

简介：第40届ARML于2015年5月29日、30日举行．中国“希望杯”代表队获得国际组第二名．ARML包括四个竞赛环节——团体赛、思考赛、接力赛、个人赛．其中，个人赛分五轮进行，每轮10分钟做两道题．来自WestWindsor-PlainsboroA1队的BriceHuang是今年唯一答对10道题的选手,获得全美个人第一名．来自南京外国语学校的杨璨同学以答对9题的成绩获得国际组个人第一名，全美个人第四名．现在你也来试试吧，看看能做对几题．START!

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简介：Problemsencounteredintheproductionoflownickelausteniticstainlesssteelhavebeenstudied.Theseproblemsprimarilyincludethechangestothemicrostructureoftheslabduringtheheatingprocess,theformationandremovalofdeformation-inducedmartensiteduringcoldrolling,andtheeffectsoftheannealingprocessonthesurfaceoxidestructure.Areasonablemanufacturingprocesshasbeenproposedonthebasisoftheresearchresultsandhighqualitycold-rolledstripsoflownickelausteniticstainlesssteelhavebeenproduced.

简介：Inthispaperweconsiderthep-Laplaceproblem-εp?pu+V(x)up-1=uq-1,u>0inRNwhere2≤p0andp0issmall.

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简介：地质的进程的数字建模例如披风传送对流，在多孔的媒介的流动，和地热的热转移，随计算和可用的软件的可获得性的增加变得相当普通。今天建模这些动态过程必要解决包含团，动量，精力和化学运输的管理方程。这些方程代表部分微分方程并且因为他们要求足够的空间、时间的分辨率有用，必须在足够强大的计算机上被解决。我们这里描述SEPRAN软件包裹的突出、突出的特征，当为一个柔韧、用户友好的软件的案例研究，地质的社区能在处理许多thermal-mechanical-chemical问题利用它在地质学发现了，在荷兰发展了，它将包括地热的状况，在部分微分方程的许多类型必须与thermodynamical输入参数同时被解决的地方。

简介：Acoupledimmersedboundary-latticeBoltzmannmethod(IB-LBM)isintroducedtosolvebiomimeticproblems.ComparedtotheconventionalIB-LBM,thestrictsatisfactionofno-slipboundaryconditionisimplementedinthecurrentmethod.Consequently,thephenomenonofflowpenetrationthatisfrequentlyobservedintheconventionalIB-LBMisfullyprevented,andsubsequentlytheforceontheboundarycanbecalculatedmoreaccurately.Thisfeatureisofimportanceforthesimulationofbiomimeticproblems.Moreover,byapplyingtherelationshipbetweenthevelocitycorrectionandforcingterm,theboundaryforcecanbecalculatedeasily.Severalbiomimeticproblemsarethensimulated.Basedonthegoodagreementbetweenthecurrentresultsandthoseintheliterature,itmaybeconcludedthatthepresentIB-LBMhasthecapabilitytohandlevariousbiomimeticproblems.

简介：Thesingularboundarymethod(SBM)isarecentmeshlessboundarycollocationmethodthatremediestheperplexingdrawbackoffictitiousboundaryinthemethodoffundamentalsolutions(MFS).Thebasicideaistousetheoriginintensityfactortoeliminatesingularityofthefundamentalsolutionatsource.Themethodhassofarbeenappliedsuccessfullytothepotentialandelasticityproblems.However,theSBMsolutionforlarge-scaleproblemshasbeenhinderedbytheoperationcountofO(N~3)withdirectsolversorO(N~2)withiterativesolvers,aswellasthememoryrequirementofO(N~2).Inthisstudy,thefirstattemptwasmadetocombinethefastmultipolemethod(FMM)andtheSBMtosignificantlyreduceCPUtimeandmemoryrequirementbyonedegreeofmagnitude,namely,O(N).Basedonthecomplexvariablerepresentationoffundamentalsolutions,theFMM-SBMformulationsforbothdisplacementandtractionwerepresented.Numericalexampleswithuptohundredsofthousandsofunknownshavesuccessfullybeentestedonadesktopcomputer.TheseresultsclearlyillustratedthattheproposedFMM-SBMwasveryefficientandpromisinginsolvinglarge-scaleplaneelasticityproblems.

简介：Softmaterialisbecomingincreasinglyimportanttomanyindustries,whichleadstothedemandforabetterunderstandingofitsmechanicalpropertiesunderlargedeformation.Inthispaper,atechniqueofintegratingthedigitalmoirémethodandembedded-gratingapproachispresentedforinvestigatingmechanicalbehaviorsofavulcanizedsiliconerubberincontactwithawedge-shapedindenter.Twodistinctdeformationsectorsareobservedfromtheexperimentalresult.Asimplewayofcomputingstrainisalsopresentedbyanalysinggriddeformationwithintheframeworkofgeometricalnonlinearity.Threeregionswereobservedfromstraindistributionalongthehorizontaldirection:thecontactregion,thesink-inregionandthefar-fieldregion.Moreover,theextentofthestickyregionandthatoftheslippyregionwithinthecontactinterfacearedistinguished,whichcanproviderealisticdatafortheoreticalmodelling.Basedonthefinitedeformationelasticitytheory,thedistributionofcontactpressureandshearstressoverthecontactinterfacearederivedforpredictionofpossiblecracks.

简介：Tow-phaseflowmixedvariationalformulationsofevolutionfiltrationproblemswithseawaterintrusionareanalyzed.Adualmixedfractionalflowvelocity-pressuremodelisconsideredwithanair-freshwaterandafreshwater-seawatercharacterization.Foranalysisandcomputationalpurposes,spatialdecompositionsbasedonnonoverlappingmultidomains,aboveandbelowthesealevel,arevariationallyintroducedwithinternalboundaryfluxesdualizedasweaktransmissionconstraints.Further,parallelaugmentedandexactlypenalizeddualityalgorithms,andproximationsemi-implicittimemarchingschemes,areestablishedandanalyzed.

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简介：Givenarealfinite-dimensionalorinfinite-dimensionalHilbertspaceHwithaJordanproduct,thesecond-orderconelinearcomplementarityproblem（SOCLCP）isconsidered.Someconditionsareinvestigated,forwhichtheSOCLCPisfeasibleandsolvableforanyelementq？H.ThesolutionsetofamonotoneSOCLCPisalsocharacterized.Itisshownthatthesecond-orderconeandJordanproductareinterconnected.

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简介：在这份报纸，一个一阶的椭圆形的系统管理的一个抑制分布式的最佳的控制问题被考虑。最少平方的混合有限元素方法，不易于Ladyzhenkaya-Babuska-Brezzi一致性条件，被用于与二个未知州的变量解决椭圆形的系统。由更多样地采用Lagrange，途径，包括一个最初的州的方程的连续、分离的optimality系统，一个伴随状态方程，和为最佳的控制的变化不平等分别地被导出。分离州的方程和分离伴随状态方程产出一个对称、积极的明确的线性代数学的系统。因此，象preconditioned那样的流行解答者结合坡度(PCG)，代数学的多格子(AMG)能被用于快速的答案。最佳一个priori错误估计分别地，在H在H1()-norm,并且为流动状态和伴随流动状态为原来的状态和伴随状态在L2()-norm,为控制函数被获得(div；)标准。最后，我们使用一个数字例子验证理论调查结果。[从作者抽象]

简介：Inthispaper,weproposeanewhybriditerativeschemeforfindingacommonsolutiontoafiniteofequilibriumproblemsandfixedpointofBregmantotallyquasiasymptoticallynonexpansivemappinginreflexiveBanachspaces.Moreover,weprovesomestrongconvergencetheoremsundersuitablecontrolconditions.