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简介：Superconvergenceofthemixedfiniteelementmethodsfor2-dMaxwellequationsisstudiedinthispaper.Twoorderofsuperconvergentfactorcanbeobtainedforthek-thNedelecelementsontherectangularmeshes.

简介：Theboundaryelementmethodisusedforthemodalanalysisoffreevibrationof2-Dcompositestructuresinthispaper.Sincetheparticularsolutionmethodisusedtotreatthetermsofbodyforces(inertialforces)intheequationofmotion,onlystaticfundamentalsolutionsareneededinsolvingtheproblem.Foranisotropiccantileverbeam,thenumericalresultsobtainedbyusingtheBEMpresentedinthispaperareingoodagreement,withthoseofusingFEMorotherBEM,butthisBEMcanalsobeusedtoanalyzeproblemsforanisotropicmaterials.Forsimplysupportedcompositelaminatedbeams,thecomparisonsofthenumericalresultsobtainedbythismethodwiththeanalyticalresultsobtainedby1-Dlaminatedbeamtheoryindicatethatiftheratiooflength/thicknessisgreaterthan20,theresultsofthetwomethodsareingoodagreement,butiftheratiooflength/thicknessislessthan20,bigerrorswilloccurfor1-Dlaminatedbeamtheory.

简介：AfiniteelementmethodforthesolutionofOseenequationinexteriordomainisproposed.Inthismethod,acircularartificialboundaryisintroducedtomakethecomputationaldomainfinite.Then,theexactrelationbetweenthenormalstressandtheprescribedvelocityfieldontheartificialboundarycanbeobtainedanalytically.Thisrelationcanserveasanboundaryconditionfortheboundaryvalueproblemdefinedonthefinitedomainboundedbytheartificialboundary.Numericalexperimentispresentedtodemonstratetheperformanceofthemethod.

简介：双树的复杂小浪变换是在信号并且图象处理的一个有用工具。在这份报纸，我们建议双树的复杂小浪变换(?WT)为图象inpainting的基于的算法问题。我们的途径基于蔡，禅宗，沈和Shens基于framelet的算法。复杂小浪变换在移动不变性，directionality和抗混叠的意义超过标准真实小浪变换。数字结果说明我们的算法的好表演。

简介：Theauthorsprovetheglobalexistenceofweaksolutionsto2-DincompressibleNavier-Stokesequations(invorticity-streamformulation)withiaitialvorticityinL^4/5.ItmaybethebestresultthatcanbeobtainedforinitialvorticityinL^pform.Moreover,theuniqueneasistobeprovedhere.

简介：为有状态的纬-法律气体方程的isentropicmagnetohydrodynamics(MHD)的二维的海军司烧方程，纬鈮?1，并且无限的电的抵抗力，我们执行分类可能的所有的全球分析粘滞吃惊侧面。精确，我们证明旅行波浪颂诗关于属类的阶段肖像由二个休息点连接了由的任何一个组成一粘滞宽松的侧面否则四休息指，二僵绳和二个节点。在后者配置，它休息，点被侧面连接取决于粘性，和罐头的比率包含宽松，overcompressive，或undercompressive吃惊侧面。考虑同样三维的答案，undercompressive震动是宽松类型的(Alfven)飘动。为单原子、两价的盒子纬=5/3和纬=7/5，与为无磁性的气体的标准粘性比率，我们数字地发现节点被侧面由把僵绳连接到节点的宽松的侧面围住的overcompressive的一个家庭连接，没有undercompressive震动发生。我们执行显示这些，二维的吃惊介绍的所有是线性地并且非线性地稳定的系统的数字Evans功能分析，关于二维、三维的不安。为一样的煤气的常数，而是不同粘性比率，我们也调查undercompressive震动为出现的案例；这些数字地被看见也稳定，关于二维并且(在到附近的Riemann答案的集中的中立意义)三维的不安。

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简介：Inthispapertheauthorpresentsamethodforthenumericalsolutionofa2-DCauchyprincipalvalueoftheformwhereSisadomainwithacontinuousboundary.Byusmgpolarcoordinates,theintegralisreducedtotheformwheredenotesthefinite-partoftheintegral.Weconstructtherelativeproductrulebasedonquasi-interpolatingsplines.Convergenceresultsareprovedandnumericalexamplesaregiven.

简介：Anadaptivemulti-scaleconjugategradientmethodfordistributedparameterestimations(orinverseproblems)ofwaveequationispresented.Theidentificationofthecoefficientsofwaveequationsintwodimensionsisconsidered.First,theconjugategradientmethodforoptimizationisadoptedtosolvetheinverseproblems.Second,theideaofmulti-scaleinversionandthenecessaryconditionsthattheoptimalsolutionshouldbethefixedpointofmulti-scaleinversionmethodisconsidered.Anadaptivemulti-scaleinversionmethodfortheinverseproblemisdevelopedinconjunctionwiththeconjugategradientmethod.Finally,somenumericalresultsareshowntoindicatetherobustnessandeffectivenessofourmethod.

简介：ＥＸＩＳＴＥＮＣＥＯＦＷＥＡＫＳＯＬＵＴＩＯＮＳＯＦ２－ＤＥＵＬＥＲＥＱＵＡＴＩＯＮＳＷＩＴＨＩＮＩＴＩＡＬＶＯＲＴＩＣＩＴＹω＿０∈Ｅ（ｌｏｇ￣＋Ｌ）￣α（α＞０）ＪＩＵＱＵＡＮＳＥＮ（ＩｎｓｔｉｔｕｔｅＯｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ｔ...

简介：3-DevolutionofKarmanvortexfilamentsandvortexfilamentsinbraidregionsintheturbulentwakeofa2-Dcirculaxcylinderisinvestigatednumeri-callybasedoninviscidvortexdynamicsbyanalyzingtheresponseoftheinitially2-Dspanwisevortexfilamentstoperiodicspanwisedisturbanceofvaryingmagnitude,wavelengthandinitialphaseangles.Ourresultsrevealakindof3-Dvortexsysteminthewakewhichconsistsoflargescalehorseshoe-shapedvorticesandsmallscaleλ-shapedvortexfilamentsaswellasvortexloops.Themechanismandthedynamicprocessaboutthegenerationofstreamwisevorticalstructureandthe3-Dcoherentstructurearereported.

简介：Reactionsofthe6-hydroxy-thiopyrano[3,4-c]pyridine-5-carbonitrilederivative1withα-halo-carbonylcompoundsgavetheortho-substitutedintermediates2a-cwhichwereconvertedintofuro[2,3-b]thiopyrano[4,3-d]pyridines3a-cbyfusionofafuranmoietyunderbasicconditions.Furthercyclizationof3a-cledtoafusionofapyrimidinering,yieldingthetetracyclicproducts6,7and8.Inaddition,condensationof6withvariousaromaticaldehydesaffordedthecorrespondingimines9a,b.Mannichreactionof7gaveproducts10a,b.

简介：Aself-adaptiveprecisealgorithminthetimedomainwasemployedtosolve2-Dnonlinearcoupledheatandmoisturetransferproblems.Byexpandingvariablesatadiscretizedtimeinterval,thevariationsofvariablescanbedescribedmoreprecisely,andanonlinearcoupledinitialandboundaryvalueproblemwasconvertedintoaseriesofrecurrentlinearboundaryvalueproblemswhicharesolvedbyFEtechnique.Inthecomputation,noadditionalassumptionandthenonlineariterationarerequired,andacriterionforself-adaptivecomputationisproposedtomaintainsufficientcomputingaccuracyforthechangesizesoftimesteps.Inthenumericalcomparison,thevariationsofmaterialpropertieswithtemperature,moisturecontent,andbothtemperatureandmoisturecontentaretakenintoaccount,respectively.Satisfactoryresultshavebeenobtained,indicatingthattheproposedapproachiscapableofdealingwithcomplexnonlinearproblems.

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简介：让G是一个有限的组。让Irr1(G)是G和cd1(G)的非线性的无法缩减的人物的集合在Irr1(G)的人物的度的集合。组G被说如果，是D2-group|cd1(G)|=|Irr1(G)|2。这份报纸的主要目的是分类nonsolvableD2-groups。

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简介：Wetackletheproblemofconstructing2DcentroidalVoronoitessellationswithconstraintsthroughanefficientandrobustconstructionofboundedVoronoidiagrams,thepseudo-dualoftheconstrainedDelaunaytriangulation.WeexploitthefactthatthecellsoftheboundedVoronoidiagramcanbeobtainedbyclippingtheordinaryonesagainsttheconstrainedDelaunayedges.Theclippingitselfisefficientlycomputedbyidentifyingforeachconstrainededgethe(connected)setoftriangleswhosedualVoronoiverticesarehiddenbytheconstraint.TheresultingconstructionisamenabletoLloydrelaxationsoastoobtainacentroidaltessellationwithconstraints.

简介：Aseriesof2’-purineandpyrimidinederivativesof1’,4’-anhy-dro-2’-deoxy-D-arabitol(1)and1’,4’-anhydro-2’-deoxy-D-altritol(2)weresynthesizedregio-andstereo-selectivelyfromD-sorbitolthroughsomeconversioninhighyields.

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