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

Thesis (MScEng)--Stellenbosch University, 2003. / ENGLISH 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. / AFRIKAANSE 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.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:sun/oai:scholar.sun.ac.za:10019.1/53447
Date03 1900
CreatorsMarais, Neilen
ContributorsDavidson, D. B., Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering.
PublisherStellenbosch : Stellenbosch University
Source SetsSouth African National ETD Portal
Languageen_ZA
Detected LanguageEnglish
TypeThesis
Format71 p. : ill.
RightsStellenbosch University

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