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Mesh termination schemes for the finite element method in electromagnetics

Thesis (MScEng (Electrical and Electronic Engineering))--Stellenbosch University, 2007.

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Main Author: Young, Andre
Other Authors: Davidson, D. B.
Format: Thesis
Language:English
Published: Stellenbosch : Stellenbosch University 2008
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access_status_str Open Access
author Young, Andre
author2 Davidson, D. B.
author_browse Davidson, D. B.
Young, Andre
author_facet Davidson, D. B.
Young, Andre
author_sort Young, Andre
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MScEng (Electrical and Electronic Engineering))--Stellenbosch University, 2007.
format Thesis
id oai:scholar.sun.ac.za:10019.1/2831
institution Stellenbosch University (South Africa)
language English
last_indexed 2026-06-10T12:43:03.527Z
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:10019.1/2831 Mesh termination schemes for the finite element method in electromagnetics Young, Andre Davidson, D. B. Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering. Dissertations -- Electrical and electronic engineering Theses -- Electrical and electronic engineering Finite element method Electromagnetism Electromagnetic waves Thesis (MScEng (Electrical and Electronic Engineering))--Stellenbosch University, 2007. The finite element method is a very efficient numerical tool to solve geometrically complex problems in electromagnetics. Traditionally the method is applied to bounded domain problems, but it can also be forged to solve unbounded domain problems using one of various mesh termination schemes. A scalar finite element solution to a typical unbounded two-dimensional problem is presented and the need for a proper mesh termination scheme is motivated. Different such schemes, specifically absorbing boundary conditions, the finite element boundary integral method and infinite elements, are formulated and implemented. These schemes are directly compared using different criteria, especially solution accuracy and computational efficiency. A vector finite element solution in three dimensions is also discussed and a new type of infinite element compatible with tetrahedral vector finite elements is presented. The performance of this infinite element is compared to that of a first order absorbing boundary condition. 2008-04-15T08:22:13Z 2010-06-01T08:59:29Z 2008-04-15T08:22:13Z 2010-06-01T08:59:29Z 2007-12 Thesis http://hdl.handle.net/10019.1/2831 en Stellenbosch University 1417937 bytes application/pdf application/pdf Stellenbosch : Stellenbosch University
spellingShingle Dissertations -- Electrical and electronic engineering
Theses -- Electrical and electronic engineering
Finite element method
Electromagnetism
Electromagnetic waves
Young, Andre
Mesh termination schemes for the finite element method in electromagnetics
title Mesh termination schemes for the finite element method in electromagnetics
title_full Mesh termination schemes for the finite element method in electromagnetics
title_fullStr Mesh termination schemes for the finite element method in electromagnetics
title_full_unstemmed Mesh termination schemes for the finite element method in electromagnetics
title_short Mesh termination schemes for the finite element method in electromagnetics
title_sort mesh termination schemes for the finite element method in electromagnetics
topic Dissertations -- Electrical and electronic engineering
Theses -- Electrical and electronic engineering
Finite element method
Electromagnetism
Electromagnetic waves
url http://hdl.handle.net/10019.1/2831
work_keys_str_mv AT youngandre meshterminationschemesforthefiniteelementmethodinelectromagnetics