頻域有限元區(qū)域分解法的研究.pdf

1、南京理工大學(xué)碩士學(xué)位論文頻域有限元區(qū)域分解法的研究姓名：賈會亮申請學(xué)位級別：碩士專業(yè)：電磁場與微波技術(shù)指導(dǎo)教師：陳如山20090622Abstract碩士論文AbstractThecoreofdomaindecompositionmethod(DDM)isthatitdecomposestheoriginalproblemdomainintoseveralnonoverlappingsubdomains，andsolveseverysu

2、bdomainindependentlyInthiswaythememoryrequirementsarereducedTheDDMcombinedwithfiniteelementmethod(FEM)CansolvegeometricallycomplexandelectricallylargeelectromagneticproblemsefficientlyTheRobin’Stransmissionconditionisemp

3、loyedoninterfacesbetweenadjacentsub—domainstoenforcecontinuityofelectromagneticfieldsandtoensurethesubdomainproblemsarewell—posedThroughtheintroductionofcementvariables，themeshesattheinterfacecouldbenonconformalwhichsign

4、ificantlyrelaxesthemeshingproceduresTheanisotropicperfectlymatchedlayer(PML)isintroducedtothismethodfortheanalysisofelectromagneticscatteringproblemsTheformulationismodifiedwhentheinterfacelocatesinthePMLBythenumericalex

5、amples，wefendthatthismethodisnotonlyimplementedeasilybutalsohasgoodperformanceTofartherreducetheunknowns，thelocallyconformalPMLareintroducedtothismethodforsolvingelectromagneticscatteringproblemsForthenumericalexamples，w

6、efindthatthismethodCanreducethenumberofunknownsandspeedupthesolutionWhensolvingperiodicelectromagneticproblems，wemakeuseofthestructure’speriodicityandonlythetypicalsubdomainsneedtobeanalyzedAsaresult，theperiodicelectroma

7、gneticproblemsCanbesolvedmoreefficientlyAtthesametime，weimplementthisalgorithmseriallySOthatthiskindofproblemscanbesolvedquicHyonsinglePCSinceeverysubdomainissolvedindependentlybyuseofdirectmethodsandtherearefewdatacommu

8、nicationsbetweensubdomains，therefore，DDMishighlyparallelTheparallelcomputingplatformisconstructedusing17PCs，andtheDDMismadetobeaparallelalgorithmontheplatformNumericalexamplesaregiventodemonstratetheaccuracyandefficiency