Higher order hierarchal curvilinear triangular vector elements for the finite element method in computational electromagnetics

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dc.contributor.advisorDavidson, D. B.en
dc.contributor.authorMarais, Neilenen
dc.contributor.otherStellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering.en
dc.date.accessioned2012-08-27T11:35:28Z
dc.date.available2012-08-27T11:35:28Z
dc.date.issued2003-03
dc.descriptionThesis (MScEng)--Stellenbosch University, 2003.en
dc.description.abstractENGLISH ABSTRACT: The Finite Element Method (FEM) as applied to Computational Electromagnetics (CEM), can be used to solve a large class of Electromagnetics problems with high accuracy, and good computational efficiency. Computational efficiency can be improved by using element basis functions of higher order. If, however, the chosen element type is not able to accurately discretise the computational domain, the converse might be true. This paper investigates the application of elements with curved sides, and higher order basis functions, to computational domains with curved boundaries. It is shown that these elements greatly improve the computational efficiency of the FEM applied to such domains, as compared to using elements with straight sides, and/or low order bases.en_ZA
dc.description.abstractAFRIKAANSE OPSOMMING: Die Eindige Element Metode (EEM) kan breedvoerig op Numeriese Elektromagnetika toegepas word, met uitstekende akkuraatheid en 'n hoë doeltreffendheids vlak. Numeriese doeltreffendheid kan verbeter word deur van hoër orde element basisfunksies gebruik te maak. Indien die element egter nie die numeriese domein effektief kan diskretiseer nie, mag die omgekeerde geld. Hierdie tesis ondersoek die toepassing van elemente met geboë sye, en hoër orde basisfunksies, op numeriese domeine met geboë grense. Daar word getoon dat sulke elemente 'n noemenswaardinge verbetering in die numeriese doeltreffendheid van die EEM meebring, vergeleke met reguit- en/of laer-orde elemente.af_ZA
dc.format.extent71 p. : ill.
dc.identifier.urihttp://hdl.handle.net/10019.1/53447
dc.language.isoen_ZA
dc.publisherStellenbosch : Stellenbosch Universityen
dc.rights.holderStellenbosch Universityen_ZA
dc.subjectFinite element methoden
dc.subjectElectromagnetic wavesen
dc.subjectComputer algorithmsen
dc.subjectDissertations -- Electronic engineeringen
dc.titleHigher order hierarchal curvilinear triangular vector elements for the finite element method in computational electromagneticsen
dc.typeThesisen
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