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- W344549318 abstract "AbstractAwavelet-collocationscheme,constructedfromthediscretesingularconvolution(DSC)is introduced for computational electromagnetics. The basic philosophy behind the DSCalgorithmisstudied. Fourtestproblems,includingwaveguideanalysisinbothregularandirregulardomains,electromagneticwavescattering,electrostaticfleldestimationviapoten-tialfunctions, andelectromagneticwavepropagationinthreespatialdimensions, areem-ployedtoillustratetheusefulness,testtheaccuracyandexplorethelimitationofthewaveletalgorithm. Computationalaccuracyofthewaveletalgorithmisshowntobecontrollableandiscomparedwithastandardapproach. Numericalexperimentsindicatethattheproposedwaveletalgorithmisapromisingapproachforsolvingproblemsinelectromagnetics. Keywords:Maxwell’sequations,waveguide,wavescattering,potentialfunction,wavepropaga-tion,wavelet-collocation,discretesingularconvolution. 1 Introduction Recently,computationalelectromagnetics(CEM)hasemergedasadistinctscientiflcdisciplineforthestudyandunderstandingofawidevarietyofelectricalandelectronicengineeringproblems[1,2,3,4,5,6,7,8]. Asanaturalextensiontotheanalyticalapproach,theCEMisbasedonnumericallysolvingthegoverningequationseitherinthepartialdifierentialformorintheintegralequationform.ThecomplexitiesofphysicsandofthefleldgeometryarenolongerthelimitingfactorstoCEMastheyaretotheanalyticalapproach. Withtheadventofhigh-performancedigitalcomputers,CEMisemergingasapowerfulapproachforsolvingpracticalproblemsinelectromagnetics[1,2].Asacomputationaldiscipline,thesuccessoftheCEMisvitallydependentonthevirtuesofcomputationalalgorithms,suchasnumericalaccuracy,stabilityande–ciency.TheseinturndependongridmethodsandnumericalschemesforthesolutionoftheMaxwell’sequations.Typically,gridmethodsusedinCEMareeitherlocal,suchasflnitedifierence(FD)methods[2],orglobal,suchasFourierpseudospectralmethods[3]. Globalmethodsarehighlyaccuratebutarecumbersometoimplementincomplexgeometriesandnon-conventionalboundarycondi-tions.Incontrast,localmethodsareeasytoimplementforcomplexgeometriesanddiscontinuousboundaryconditions. However,theaccuracyoflocalmethodsisrelativelylow[4]. Thereexists" @default.
- W344549318 created "2016-06-24" @default.
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- W344549318 date "2004-04-23" @default.
- W344549318 modified "2023-09-27" @default.
- W344549318 title "A wavelet-collocation approach for computational electromagnetics ⁄" @default.
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