高階基函數(shù)在基于EB時域有限元中的應(yīng)用.pdf

1、南京理工大學(xué)碩士學(xué)位論文高階基函數(shù)在基于EB時域有限元中的應(yīng)用姓名：祝曉盈申請學(xué)位級別：碩士專業(yè)：電磁場與微波技術(shù)指導(dǎo)教師：丁大志陳如山20100601Abstract碩士論文AbstractⅢspaperstudieshighordervectorbasisfunctions(15orderbasisfunctionand25orderbasisfunction)inthefiniteelementtimedomain(FETD)me

2、thodIntheFETDmethod，thetraditionalvectorbasisfunctionsalongtheedgedirectionisconstantandalongthenormaldirectionoftheedgeislinearinterpolationwhichlimitsinterpolationaccuracyoftheactualelectromagneticfieldsimulationusingt

3、raditionalmethodBasedontheproblem，‘thepaperuseshighordervectorbasisfunctionsandhasamainresearchontheuseof15and25basisfunctionsintheFETDbasedMaxwell’SequationsThentakeresonancecavitywaveguideandmicrostripcircuitforexample

4、tOsimulateThenumericalsimulationresultsshowthatthismethodusinghighordervectorbasisfunctionsCanreduceunknownsinthecaseofdiscretizationbymeshesoflargesizewhenaccuracyisthesameaslowerordervectorbasisfunctionsTheresultsalsos

5、howthatthesolutionprecisioncanbeimprovedinthecaseofthesameunknownsaslowerordervectorbasisfunctionsWhenregulartetrahedronsimulatessurfacebendstructure，thesimulationprecisionislowSothepapercombineshilghordervectorbasisfunc

6、tionswitllirregulartetrahedronInthecaseofdiscretizationbymeshesoflargesize，boththesimulationprecisionandthesolutionprecisionCanbeimproved111epapercombineshighordervectorbasisfunctionswith冗一matrixtOanalyzewaveguideandmicr

7、ostripcircuitsTheresultsclearlyshowthatmemorycomplexityisO(NlogN)andtimecomplexityisO(Nl092N)ThispropertygivesitabigadvantageoverotherdirectsolversKeywords：finiteelementtimedomain(FETD)method，highordervectorbasisfunction