有限元法等方向 毕业论文

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7、lementMethod(FEM)topresentpopularBoundaryEl-ementmethod(BEM),ithasbeenalongtimeforstudyingthenumericalsolutionofHelmholtzequation.Giventypesofellipticpartialdifferentialequations,whichcanbetransformedintoequivalentintegralequationtosolvebypotentialtheory,sincetheme

8、ritofintegralequationinnumericalsolution,whichmakespoten-tialtheorytosolvesuchboundaryvalueproblembecomesaclassicalnumericalmethod.Forthefollowingtypicalellipticpartialdifferentialequationsontheplanarboundary,suchasLaplaceequation,Helmholtzequation,basedontheprevio

9、uspeople’swork,professorRainerKressreformulatedthemasintegralequationsbypotentialtheory,inthefinalstep,whodirectlyusedweightquadratureformula(Nystr¨ommethod)approximatingthekernelofintegralequation,obtainingthenicenumericalresult,headoptsthemethodalmostinhisallpape

10、rsaboutthenumericalsolutionsofintegralequationandrecommendsthismethodjustasthesimplicityandoperabilityofthismethod.TherehasbeenalargeofpapersaboutthenumericalsolutionsofHelmholtzequationwithpositivewavenumberforvariousboundaryconditions,butalmostnopaperfocusingonH

11、elmholtzequationwithpureimaginarywavenumber,forthiscase,theauthorattemptstogivesystemstudyonthenumericalsolutionsofHelmholtzequationwithpureimaginarywav