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1、P1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK021-FMMOBK021-Polycarpou.clsApril29,200620:15IntroductiontotheFiniteElementMethodinElectromagneticsiP1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK021-FMMOBK021-Polycarpou.clsApril29,200620:15Copyright©2006byMorgan&ClaypoolAllrightsre
2、served.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformorbyanymeans—electronic,mechanical,photocopy,recording,oranyotherexceptforbriefquotationsinprintedreviews,withoutthepriorpermissionofthepublisher.IntroductiontotheFiniteEleme
3、ntMethodinElectromagneticsAnastasisC.Polycarpouwww.morganclaypool.com1598290460paperPolycarpou1598290479ebookPolycarpouDOI10.2200/S00019ED1V01Y200604CEM004APublicationintheMorgan&ClaypoolPublishers’seriesSYNTHESISLECTURESONCOMPUTATIONALELECTROMAGNETICSLecture#4FirstE
4、dition10987654321PrintedintheUnitedStatesofAmericaiiP1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK021-FMMOBK021-Polycarpou.clsApril29,200620:15IntroductiontotheFiniteElementMethodinElectromagneticsAnastasisC.PolycarpouIntercollege,CyprusSYNTHESISLECTURESONCOMPUTATIONALELEC
5、TROMAGNETICS#4MMorgan&ClaypoolPublishers&CiiiP1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK021-FMMOBK021-Polycarpou.clsApril29,200620:15Tomyparents,andtomywifeanddaughterivP1:IML/FFXP2:IML/FFXQC:IML/FFXT1:IMLMOBK021-FMMOBK021-Polycarpou.clsApril29,200620:15vABSTRACTThisser
6、ieslectureisanintroductiontothefiniteelementmethodwithapplicationsinelectro-magnetics.Thefiniteelementmethodisanumericalmethodthatisusedtosolveboundary-valueproblemscharacterizedbyapartialdifferentialequationandasetofboundaryconditions.Thegeometricaldomainofaboundary-v
7、alueproblemisdiscretizedusingsub-domainelements,calledthefiniteelements,andthedifferentialequationisappliedtoasingleelementafteritisbroughttoa“weak”integro-differentialform.Asetofshapefunctionsisusedtorepresenttheprimaryunknownvariableintheelementdomain.Asetoflineareq
8、uationsisobtainedforeachelementinthediscretizeddomain.Aglobalmatrixsystemisformedaftertheassemblyofallelements.Thislectureisdivided
