Issues related to finite element techniques for two dimensional transmission structures

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dc.contributor.authorBunting, Charles Fredericken
dc.contributor.committeechairDavis, William A.en
dc.contributor.committeememberBrown, Gary S.en
dc.contributor.committeememberBesieris, Ioannis M.en
dc.contributor.departmentElectrical Engineeringen
dc.date.accessioned2014-03-14T21:46:30Zen
dc.date.adate2009-09-29en
dc.date.available2014-03-14T21:46:30Zen
dc.date.issued1992-04-19en
dc.date.rdate2009-09-29en
dc.date.sdate2009-09-29en
dc.description.abstractThis thesis addresses many issues associated with finite element techniques, concentrating on ideas that are not often emphasized in the literature. Pulling together the ideas of mesh generation, sparse storage solution techniques, and functional development, in a single volume, this work provides basic tools for implementation of finite element techniques for both static and dynamic problems in electromagnetics. An automatic mesh generation scheme is developed by forming a Delaunay triangulation. A storage technique will be presented and used In conjunction with a conjugate gradient method to solve linear systems of equations. Application to electromagnetic problems will be demonstrated in the static, quasi-static, and full-field regimes. Laplace's equation is solved for various transmission line geometries to obtain capacitance and characteristic impedance. A finite element model that is a full field expression of Maxwell's equations is developed through a novel variational formulation involving the method of Lagrange multipliers, with attention given to the physical basis of the obtained functional. This model is then applied to the problem of determining the propagation constant of a waveguide.en
dc.description.degreeMaster of Scienceen
dc.format.extentvii, 121 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-09292009-020031en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-09292009-020031/en
dc.identifier.urihttp://hdl.handle.net/10919/44906en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1992.B867.pdfen
dc.relation.isformatofOCLC# 26033420en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1992.B867en
dc.subject.lcshFinite element methoden
dc.subject.lcshMicrowave wiring -- Mathematical modelsen
dc.titleIssues related to finite element techniques for two dimensional transmission structuresen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineElectrical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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