On Vector Helmholtz Equation with a Coupling Boundary Condition

(整期优先)网络出版时间:2007-04-14
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TheHelmholtzequationissometimessupplementedbyconditionsthatincludethespecificationoftheboundaryvalueofthepergenceoftheunknown.Inthispaper,westudythevectorHelmholtzproblemindomainsofbothC~(1,1)andLipschitz.Wees-tablisharigorousvariationalanalysissuchasequivalence,existenceanduniqueness.Andweproposefiniteelementapproximationsbasedontheuncoupledsolutions.Fi-nallywepresentaconvergenceanalysisanderrorestimates.