12800.體面積分方程混合不連續(xù)伽遼金方法研究

1、聲明本學位論文是我在導師的指導下取得的研究成果，盡我所知，在本學位論文中，除了加以標注和致謝的部分外，不包含其他人已經(jīng)發(fā)表或公布過的研究成果，也不包含我為獲得任何教育機構(gòu)的學位或?qū)W歷而使用過的材料。與我一同工作的同事對本學位論文做出的貢獻均已在論文中作了明確的說明。研究生簽名：器拯莖弦I2)年；月婦學位論文使用授權(quán)聲明南京理工大學有權(quán)保存本學位論文的電子和紙質(zhì)文檔，可以借閱或上網(wǎng)公布本學位論文的部分或全部內(nèi)容，可以向有關部門或機構(gòu)送交并

2、授權(quán)其保存、借閱或上網(wǎng)公布本學位論文的部分或全部內(nèi)容。對于保密論文，按保密的有關規(guī)定和程序處理。研究生簽名：囂拯芯占9t移年；月^占日Abstract碩士論文AbstractUsingtheaccurateandefficientnumericalmethodstoanalyzetheelectromagnetic(EM)scatteringpropertiesofcomplexthreedimensional(3D)objectsha

3、sbeenthefocusworkinthecomputationalelectromagneticsMostofthepracticalapplicationsof3DcomplextargetsareusuallycompoundedbythemetalanddielectricmaterialswiththefreestructureThetraditionalvolumeandsurfaceintegralequationt＼S

4、lE)analysisoftheEMscatteringpropertiesofcomplex3DobjectsmustuseconformalmeshesHowever，generatingaconformaldiseretizationofhighdefinitiontargetswouldbetediousandtimeconsumedTherefore，studyingthenewVSIEwithnonconformalmesh

5、esissignificantThediscontinuousGalerkinvolumeandsurfaceintegralequation(DGVSIE)employhRWGandhSWGbasisfunctionsfortrialandtestfunctions，itcanbeusedtOanalyzetheEMpropertiesofcomplex3DobjectswithnonconformalmeshesComparedwi

6、ththetraditionalVSIE，DGVSIEreducesthedifficultyofdiscretizing3DcomplextargetsHowever，hRWGandhSWGbasisfunctionsincreasetheunknownsofVSIETherefore，inthispaper，thecontinuousanddiscontinuousGalerkinvolumeandsurfaceintegraleq

7、uation(CDGVSIE)wouldbestudiedBecauseofcombiningVSIEandDG—VSIE，theCDG—VSIEisnotonlyteducethedifficultyofdiscretizing3Dcomplextargets，butalsoteducetheunknownsofDGVSIEFurthermore，themultilevelfastmultipolealgorithmfMLFMA)is

8、appliedintheCDGVSIEtoanalyzemixedmetalanddielectricobjectswithelectricallargersizeWitllthefurtherincreaseoftheelectricalsizeofthe3Dcomplextargets，thecomputerresourcesconsumedbyCDGVSIEarealsoverylargeInthispaperthenoncon_

9、formaldomaindecompositionbasedonCDGVSIEisstudiedAsthismethodhastheadvantageofindependentsub—domainmeshes，itwouldimprovetheflexibilityandpracticeofthedomaindecompositionmethodAtlast，theproposedmethodandMLFMAiscombined，whi

10、chwouldbefurtherreducingthememoryconsumptionandtimeconsumedItisimportantsignificanceforanalyzingtheEMpropertiesofmixedmetalanddielectricobjectswithelectricallargersizeKeywords：Methodofmoments，DiscontinuousGalerkin，Noncon