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hp-Adaptation for the FEM Analysis of Waveguides

Thesis (MScEng (Electrical and Electronic Engineering))--Stellenbosch University, 2008.

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Main Author: Lezar, Evan
Other Authors: Davidson, D. B.
Format: Thesis
Language:English
Published: Stellenbosch : Stellenbosch University 2008
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access_status_str Open Access
author Lezar, Evan
author2 Davidson, D. B.
author_browse Davidson, D. B.
Lezar, Evan
author_facet Davidson, D. B.
Lezar, Evan
author_sort Lezar, Evan
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MScEng (Electrical and Electronic Engineering))--Stellenbosch University, 2008.
format Thesis
id oai:scholar.sun.ac.za:10019.1/3104
institution Stellenbosch University (South Africa)
language English
last_indexed 2026-06-10T12:43:06.129Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2008
publishDateRange 2008
publishDateSort 2008
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/3104 hp-Adaptation for the FEM Analysis of Waveguides Lezar, Evan Davidson, D. B. Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering. Theses -- Electrical and electronic engineering Dissertations -- Electrical and electronic engineering Finite element method Wave guides Electrical and Electronic Engineering Thesis (MScEng (Electrical and Electronic Engineering))--Stellenbosch University, 2008. The nite element method (FEM) is a powerful tool for the computational analysis of a wide range of electromagnetic problems. As the complexity of the problems is increased so are the demands in terms of the computational resources required to obtain a su ciently accurate solution. In an attempt to obtain a desired accuracy at a lower computational cost adaptive and higher order methods are often employed. These methods generally entail re ning the solution only in the areas where greater complexity is required, thus decreasing the total computational demand. The adaptive nite element method is implemented and used to analyse the transverse electric cuto eigenmodes of 2D waveguiding structures. The higher order hierarchical vector basis functions that form part of this implementation are automatically generated to very high orders, with the results presented in excellent agreement to analytical ones where applicable. Accuracy to the order of numeric precision is attained. Using these adaptive methods, it is also possible to achieve improved cost e ciency of the error metrics considered with respect to storage requirements and computational cost. 2008-08-12T09:05:08Z 2010-06-01T09:06:22Z 2008-08-12T09:05:08Z 2010-06-01T09:06:22Z 2008-03 Thesis http://hdl.handle.net/10019.1/3104 en Stellenbosch University application/pdf Stellenbosch : Stellenbosch University
spellingShingle Theses -- Electrical and electronic engineering
Dissertations -- Electrical and electronic engineering
Finite element method
Wave guides
Electrical and Electronic Engineering
Lezar, Evan
hp-Adaptation for the FEM Analysis of Waveguides
title hp-Adaptation for the FEM Analysis of Waveguides
title_full hp-Adaptation for the FEM Analysis of Waveguides
title_fullStr hp-Adaptation for the FEM Analysis of Waveguides
title_full_unstemmed hp-Adaptation for the FEM Analysis of Waveguides
title_short hp-Adaptation for the FEM Analysis of Waveguides
title_sort hp adaptation for the fem analysis of waveguides
topic Theses -- Electrical and electronic engineering
Dissertations -- Electrical and electronic engineering
Finite element method
Wave guides
Electrical and Electronic Engineering
url http://hdl.handle.net/10019.1/3104
work_keys_str_mv AT lezarevan hpadaptationforthefemanalysisofwaveguides