Functionals in electromagnetics: an investigation into methods to eliminate spurious solutions in the application of finite element techniques

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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.committeememberSafaai-Jazi, Ahmaden
dc.contributor.committeememberKohler, Werner E.en
dc.contributor.departmentElectrical Engineeringen
dc.date.accessioned2014-03-14T21:21:54Zen
dc.date.adate2005-10-21en
dc.date.available2014-03-14T21:21:54Zen
dc.date.issued1994-07-12en
dc.date.rdate2005-10-21en
dc.date.sdate2005-10-21en
dc.description.abstractFinite element techniques have been applied to a wide variety of problems in electro magnetics, but have been handicapped by the appearance of spurious solutions. Both weighted residual methods and variational methods are the basic finite element techniques that are examined to establish a framework for the discussion of spurious solutions. A simple waveguide example is used to explore the fundamental problem with these spurious solutions. A method is developed that focuses on the functional form as the fundamental cause underlying the difficulties with spurious solutions. By using analytical rather than numerical means, it is shown that the solution form allows for the existence of an improper gradient behavior in a general field expansion. A new functional that satisfies Maxwell's equations and eliminates spurious solutions is introduced. This new functional is shown to be self-adjoint and positive definite, thus providing an error minimization. The analytical form as well as the finite element method is applied to demonstrate the robust nature of the functional.en
dc.description.degreePh. D.en
dc.format.extentix, 138 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10212005-123001en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10212005-123001/en
dc.identifier.urihttp://hdl.handle.net/10919/40063en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1994.B868.pdfen
dc.relation.isformatofOCLC# 31228858en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1994.B868en
dc.subject.lcshElectromagnetic theory -- Mathematical modelsen
dc.subject.lcshFinite element methoden
dc.subject.lcshFunctionalsen
dc.titleFunctionals in electromagnetics: an investigation into methods to eliminate spurious solutions in the application of finite element techniquesen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineElectrical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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