2016年电磁场数值分析考题

1/2西安电子科技大学研究生课程考试试题（答案必须写在答题纸上或在答题卡上填涂）考试科目：课程编号：考试日期：年月日考试时间：分考试方式：(闭卷)任课教师：班号学生姓名：学号：QUESTION1:(10Points)Describethegeneralprocedureofthemethodofmoments(MoM)tosolvetheinhomogeneousequation,whereisagivenlinearoperator,istheknownexcitation,andistheunknownresponsetobesolvedfor.QUESTION2:(10Points)Describethebasicstepstosolvethelinearequation[A][X]=[B]usingtheserialin-coreLU(lower/upper)decomposition,where[A]istheknowndensematrix,[X]istheunknownvectortobedeterminedand[B]istheknownright-handsidevector.QUESTION3:(15Points)Describetheformulationofelectric-fieldintegralequation(EFIE)andmagnetic-fieldintegralequation(MFIE)foraperfectelectricconductorinfreespace.QUESTION4:(15Points)1)DescribethedefinitionoftheRWGbasisfunctionsandhowthebasisfunctionsensurethecontinuouscurrentacrossthecommonedgeofapairoftriangularpatches.（工学硕士、博士）2)DescribethedefinitionoftheRWGbasisfunctions.（工程硕士）2/2QUESTION5:(15Points)Describeandillustratetheprocessgridandblocksizeusingthedistributionofan8×8matrix.QUESTION6:(15Points)AsshowninFigure1,describetherolethatthecurrenttemporaryblockcolumn(blockcolumn3)playsinthefactorizationoftheactiveblockcolumn(blockcolumn5)intheLUfactorizationalgorithm.(a)(b)Figure1.LUfactorizationofamatrixconsistingof6×6blocks.QUESTION7:(10Points)Whatarethedifferencesbetweentheout-of-coreandin-corealgorithmsforMoM?QUESTION8:(10Points)Describethedefinitionofspeedupandparallelefficiency.Listsomeofthefactorsthataffectparallelin-coreandout-of-coreCEMcodes,withabriefdescriptionofhowtheyaffecttheperformance.