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1、1Y.J.LiuMechanicalEngineering,UniversityofCincinnati,598RhodesHall,2600CliftonAvenue,Cincinnati,OH45221-0072,e-mail:yijun.liu@uc.eduS.MukherjeeSibleySchoolofMechanicalandAerospaceEngineering,CornellUniversity,Ithaca,NY14853e-mail:sm85@cornell.eduN.NishimuraDepartmentofAppliedAnalysisandCompl
2、exDynamicalSystems,GraduateSchoolofInformatics,KyotoUniversity,Kyoto,606-8501Japan,e-mail:nchml@i.kyoto-u.ac.jpRecentAdvancesandEmergingM.SchanzApplicationsoftheBoundaryInstituteofAppliedMechanics,GrazUniversityofTechnology,Technikerstr.4,A-8010Graz,Austria,ElementMethode-mail:m.schanz@tugra
3、z.atW.YeSponsoredbytheU.S.NationalScienceFoundation,aworkshopontheboundaryele-DepartmentofMechanicalEngineering,mentmethod(BEM)washeldonthecampusoftheUniversityofAkronduringSeptemberHongKongUniversityofScienceand13,2010(NSF,2010,WorkshopontheEmergingApplicationsandFutureDirectionsTechnology,
4、ClearwaterBay,Kowloon,oftheBoundaryElementMethod,UniversityofAkron,Ohio,September13).Thispa-HongKong,China,perwaspreparedafterthisworkshopbytheorganizersandparticipantsbasedonthee-mail:mewye@ust.hkpresentationsanddiscussionsattheworkshop.Thepaperaimstoreviewthemajorresearchachievementsinthel
5、astdecade,thecurrentstatus,andthefuturedirectionsofA.SutradhartheBEMinthenextdecade.ThereviewstartswithabriefintroductiontotheBEM.DepartmentofSurgeryandThen,newdevelopmentsinGreensfunctions,symmetricGalerkinformulations,bound-DepartmentofMechanicalEngineering,arymeshfreemethods,andvariationa
6、llybasedBEMformulationsarereviewed.Next,TheOhioStateUniversity,fastsolutionmethodsforefficientlysolvingtheBEMsystemsofequations,namely,the915OlentangyRiverRoad,Suite2100,fastmultipolemethod,thepre-correctedfastFouriertransformationmethod,andtheColumbus,OH43212adaptivecrossapproximationmethoda
7、represented.EmergingapplicationsoftheBEMe-mail:Alok.Sutradhar@osumc.eduinsolvingmicroelectromechanicalsystems,composites,functionallygradedmaterials,fracturemechanics,acoustic,elasticandelectromagneticwaves,time-domainproblems,E.Panandcoupledmethod
