简介:AnA.D.I.Galerkinschemeforthree-dimensionalnonlinearparabolicintegro-differen-tialequationisstudied.Byusingalternating-direction,thethree-dimensionalproblemisreducedtoafamilyofsinglespacevariableproblems,thecalculationissimplified;byusingalocalapproxima-tionofthecoefficientsbasedonpatchesoffiniteelements,thecoefficientmatrixisupdatedateachtimestep;byusingRitz-Volterraprojection,integrationbypartandothertechniques,theinfluencecomingfromtheintegraltermistreated;byusinginductivehypothesisreasoning,thedifficultycomingfromthenonlinearityistreated.ForbothGalerkinandA.D.I.Galerkinschemesthecon-vergencepropertiesarerigorouslydemonstrated,theoptimalH~1-normandL~2-normestimatesareobtained.
简介:Inatwocomponentfermionsystem,themismatchedFermisurfacespreventtheformationofCooperpairsbetweenthetwospicesneartheiraverageFermisurface.Ourpreviouswork[1]hasshownthattheangledependenceofthenons-wavepairinggapcanreducetheeffectofthedifferenceμbetweentheFermisurfacesoftwospicesinasymmetricnuclearmatter.Ontheotherhand,intheheavyfermionsuperconductors,suchasCeCoIn5pressuredCeRhIn5NpPd5Al2andTl-basedcuprates,mayhaveacoupleofcommonfeatures,forexample,thed-wavepairingandastrongparamagneticeffect(thedifferenceofthetwoFermisurfacesμ).Therefore,theangledependenceofthepairinggapmayhavesignificantinfluenceinthesesystems.
简介:怪物状态在1D数组被学习了,并且许多不同怪物状态用不同模型被发现了。研究最近被扩大了到2D数组,但是仅仅到他们的阶段模型。这里,我们把它递非局部的联合的影响上的神经原和焦点的2D数组的一个nonphase模型。用广泛的数字模拟,令人惊讶地,我们发现这个系统能显示出以前观察的怪物状态的大多数类型,与以前的模型相对照,在怪物状态的仅仅或一些类型能在每个模型被观察的地方。我们也发现这个模型能显示出象gridding那样的一些特殊像怪物的模式和multicolumn模式,它以前仅仅在阶段模型被观察。进一步,我们在场一条有效途径,即,移开联合的一些连接,产生异构的联合,它导致多样的像怪物的模式并且甚至从一个像怪物的模式导致转变到另外一个。
简介:ExtractionandseparationofRadishredpigmentfromawastewaterofsaltingRadishwasstudiedonD61resin.Theexchangecapacityofadsorptionthepigmentwasequalto60.91mg·g^-1wetresin,andtheequilibiumtimeonly40mins.AllRadishredpigmentadsorbedonD61resinwaselutedusingaeluentinwhichconcentractionofHCloralcoholwas0.1mol·L^-1or80%at50℃whentheflowratewasat2BV·hm^-1.StabilityofD61resinwasverywell,andwhiletheresinwasrecycledfifteentimes,theexchangecapacitywasonlydecreased11.9%,andtheexchangecapacitydidn′tchanged.Becauseofnegativeionofmustardoil,itcould′tbeadsorbedontheresin.Finally,apasteproductwithyieldof1.96mg·100ml^-1wastewaterwasobtainedafteralcoholevaporationandvacuumdrying.
简介:本文讨论了求解Sylvester方程AXB+CX=D的OROD迭代法(正交残量法和正交方向迭代法)的几个重要性质,证明了该算法产生的误差序列是单调递减的,同时给出了该算法的最小化性质的精确刻画,最后给出了一些数值例子.
简介:Intheunderwater-shockenvironment,cavitationoccursnearthestructuralsurface.Thedynamicresponseoffluid-structureinteractionsisinfluencedseriouslybythecavitationeffects.Itisalsothedifficultyinthefieldofunderwaterexplosion.Withthetraditionalboundaryelementmethodandthefiniteelementmethod(FEM),itisdifficulttosolvethenonlinearproblemwithcavitationeffectssubjectedtotheunderwaterexplosion.Tosolvethisproblem,undertheconsiderationofthecavitationeffectsandfluidcompressibility,withfluidvisciditybeingneglected,a3Dnumericalmodeloftransientnonlinearfluid-structureinteractionsubjectedtotheunderwaterexplosionisbuilt.Thefluidspectralelementmethod(SEM)andtheFEMareadoptedtosolvethismodel.AftercomparisonwiththeFEM,itisshownthattheSEMismoreprecisethantheFEM,andtheSEMresultsareingoodcoincidencewithbenchmarkresultsandexperimentresults.Basedonthis,combinedwithABAQUS,thetransientfluid-structureinteractionmechanismofthe3Dsubmergedsphericalshellandshipstiffenedplatessubjectedtotheunderwaterexplosionisdiscussed,andthecavitationregionanditsinfluenceonthestructuraldynamicresponsesarepresented.Thepaperaimsatprovidingreferencesforrelevantresearchontransientfluid-structureinteractionofshipstructuressubjectedtotheunderwaterexplosion.