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ID:14366373
大小:2.45 MB
页数:138页
时间:2018-07-28
《high-order accurate methods for maxwell equations - kashdan》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、TELAVIVUNIVERSITYTheRaymondandBeverlySacklerFacultyofExactSciencesSchoolofMathematicalSciencesHIGH-ORDERACCURATEMETHODSFORMAXWELLEQUATIONSThesissubmittedforthedegree“DoctorofPhilosophy”byEugeneKashdanSubmittedtothesenateofTelAvivUniversityJune2004ThisworkwascarriedoutunderthesupervisionofProfe
2、ssorEliTurkelAcknowledgementsIwouldliketoexpressmygratitudeanddeepestappreciationtoProfessorEliTurkelforhisguidance,counselingandforhisfriendship.Withouthishelpandencouragementthisworkwouldneverhavebeendone.IwishtothankmyparentsandmysisterMayafortheirlove,supportandbeliefinmysuccess,inspiteoft
3、hethousandsofkilometersbetweenus.IwouldliketothankmycolleaguesatTelAvivUniversityfortheirgreathelp,friendshipandhoursofthescientific(andnottoomuchscientific)discussions.IshouldalsomentionthatmyPhDresearchwassupportedbytheIsraeliMinistryofSciencewiththeEshkolFellowshipforStrategicResearchinyear
4、s2000–2002andsupportedinpartbytheAbsorptionFoundation("KerenKlita")ofTelAvivUniversityallotheryears.Finally,IwouldliketoacknowledgetheuseofcomputerresourcesbelongingtotheHighPerformanceComputingUnit,adivisionoftheInterUniversityComputingCenter,whichisaconsortiumformedbyresearchuniversitiesinIs
5、rael.Contents1Introduction12Preliminaries62.1Physicalbackground...........................62.2Maxwellequationsinvariouscoordinatesystems............82.2.1Cartesiancoordinates.......................82.2.2Cylindricalcoordinates......................92.2.3Sphericalcoordinates.....................
6、..93Boundaryconditions113.1Introduction................................113.2UniaxialPMLinCartesiancoordinates.................153.2.1Construction...........................153.2.2Well-posednessandstabilityofPML..............193.3Boundaryconditionsinsphericalcoordinates..............203.3.1Sing
7、ularityatthePoles......................203.3.2ConstructionofPMLinsphericalcoordinates.........214FiniteDifferencediscretization244.1Coordinatesystem............................244.2Yeealgorithm...............................244.3Highorde
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