简介：Inthisarticle,usingFontaine'sΦΓ-moduletheory,wegiveanewproofofColeman'sexplicitreciprocitylaw,whichgeneralizesthatofArtin-Hasse,IwasawaandWiles,bygivingacompleteformulaforthenormresiduesymbolonLubin-Tategroups.ThemethodusedhereisdifferentfromtheclassicalonesandcanbeusedtostudytheIwasawatheoryofcrystallinerepresentations.

简介：Thereciprocitymeasurementtheoryinanomalousreverberantsoundfieldswasinvestigated.AnimprovedmethodWasproposedduetotheinterrelatederrors.ThesourcevolumevelocityWascorrectedbyspatialaverageofmeasurementresultsandevaluationofthereverberantsoundfieldinfluenceonacousticenergydensity.Theresultwasvalidatedinunderwaterexperiment,correctedreciprocitymeasurementresultswerealmostthesameasdirectmeasurementresults.Itindicatesthatreverberantsoundfielddoesnotaffectthevaliditvoftheprinciple,butinfluencestheobtainmentofsourcevolumevelocity,theninfluencesthemeasurementoftransferfunctionswiththeprinciple.Theproposedmethodissimpleandeffectiveinanomalousreverberantsoundfields.Thestudymavbevaluablefortheapplicationswhicharebasedontheprinciple.

简介：Inthispaperthedualreciprocityboundaryelementmethodisemployedtosolvenonlineardifferentialequation~2u+u+εu~3=b.ResultsobtainedinanexamplehaveagoodagreementwiththosebyFEMandshowtheapplicabilityandsimplicityofdualreciprocitymethod(DRM)insolvingnonlineardif-ferentialequations.

简介：有混合边界节点方法(HBNM)的联合双交换方法(DRM)，双交换混合边界节点方法(DRHBNM)与身体力量为三维的线性弹性问题被开发。没有领域积分，这个方法能被用来与身体力量解决弹性问题，它由HBNM是不可避免的。表明通用性和这个方法的快集中，有身体力量的3-D弹性问题的一些数字例子被检验。计算结果证明现在的方法是有效的并且能广泛地在解决实际工程问题被使用。

简介：Theboundaryvalueproblemofplatebendingproblemontwo-parameterfoundationwasdiscussed.Usingtwoseriesofthehigh-orderfundamentalsolutionsequences,namely,thefundamentalsolutionsequencesforthemulti-harmonicoperatorandLaplaceoperator,applyingthemultiplereciprocitymethod(MRM),theMRMboundaryintegralequationforplatebendingproblemwasconstructed.ItprovesthattheboundaryintegralequationderivedfromMRMisessentiallyidenticaltotheconventionalboundaryintegralequation.HencetheconvergenceanalysisofMRMforplatebendingproblemcanbeobtainedbytheerrorestimationfortheconventionalboundaryintegralequation.Inaddition,thismethodcanextendtothecaseofmoreseriesofthehigh-orderfundamentalsolutionsequences.

简介：双交换边界元素方法(DRBEM)被使用与三维的潜在的流动预言管和silencers的声学的特征，并且基本原则和建议方法的数字过程是到常规边界元素方法(CBEM)的introduced.Compared，DRBEM在声学的管理方程考虑流动马赫数字的第二个顺序术语，它对有更高的马赫数字的状况合适亚声的flow.The四杆的parame

简介：Thispaperproposesahybridmethodbasedontheforward-backwardmethod(FBM)andthereciprocitytheorem(RT)forevaluatingthescatteringfieldfromdielectricroughsurfacewitha2Dtargetaboveit.Here,theequivalentelectric/magneticcurrentdensitiesontheroughsurfaceaswellasthescatteringfieldfromitarenumericallycalculatedbyFBM,andthescatteredfieldfromtheisolatedtargetisobtainedutilizingthemethodofmoments(MOM).Meanwhile,therescatteredcouplinginteractionsbetweenthetargetandthesurfaceareevaluatedemployingthecombinationofFBMandRT.OurhybridmethodisfirstvalidatedbyavailableMOMresults.Then,thefunctionaldependencesofbistaticandmonostaticscatteringfromthetargetaboveroughsurfaceuponthetargetaltitude,incidentandscatteringanglesarenumericallysimulatedanddiscussed.Thisstudypresentsanumericaldescriptionforthescatteringmechanismassociatedwithrescatteredcouplinginteractionsbetweenatargetandanunderlyingrandomlyroughsurface.