Electromagnetic field solutions via the finite element method

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dc.contributor.advisorReddy, B Dayaen_ZA
dc.contributor.authorWatkins, L Ren_ZA
dc.date.accessioned2016-09-28T18:58:29Z
dc.date.available2016-09-28T18:58:29Z
dc.date.issued1986en_ZA
dc.description.abstractThis thesis examines the application of the finite element method to the solution of two important equations which govern electromagnetic fields, namely, the Poisson equation and the Helmholtz equation. These equations. together with appropriate boundary conditions, describe boundary value and eigenvalue problems respectively. Attention will be restricted to boundary value and eigenvalue problems on domains in R² in which more than one dielectric medium may be present. Weak or variational statements of these problems are derived, comprising the governing partial differential equation and appropriate boundary conditions. The Galerkin method is used to pose the variational statement of the problem in a finite-dimensional subspace and the finite element method employed to generate an appropriate set of basis functions which spans this subspace. A linear matrix or linear matrix eigenvalue problem results and suitable techniques for their numerical solution are presented. Various corrputat ional aspects of the finite element method and the solution techniques are discussed. Finite element programs capable of running on a microcomputer are developed and are used to analyse a number of electromagnetic field problems. The results of these analyses are compared, where possible, with analytic solutions, and elsewhere with results obtained by other methods.en_ZA
dc.identifier.apacitationWatkins, L. R. (1986). <i>Electromagnetic field solutions via the finite element method</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Electrical Engineering. Retrieved from http://hdl.handle.net/11427/21964en_ZA
dc.identifier.chicagocitationWatkins, L R. <i>"Electromagnetic field solutions via the finite element method."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Electrical Engineering, 1986. http://hdl.handle.net/11427/21964en_ZA
dc.identifier.citationWatkins, L. 1986. Electromagnetic field solutions via the finite element method. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Watkins, L R AB - This thesis examines the application of the finite element method to the solution of two important equations which govern electromagnetic fields, namely, the Poisson equation and the Helmholtz equation. These equations. together with appropriate boundary conditions, describe boundary value and eigenvalue problems respectively. Attention will be restricted to boundary value and eigenvalue problems on domains in R² in which more than one dielectric medium may be present. Weak or variational statements of these problems are derived, comprising the governing partial differential equation and appropriate boundary conditions. The Galerkin method is used to pose the variational statement of the problem in a finite-dimensional subspace and the finite element method employed to generate an appropriate set of basis functions which spans this subspace. A linear matrix or linear matrix eigenvalue problem results and suitable techniques for their numerical solution are presented. Various corrputat ional aspects of the finite element method and the solution techniques are discussed. Finite element programs capable of running on a microcomputer are developed and are used to analyse a number of electromagnetic field problems. The results of these analyses are compared, where possible, with analytic solutions, and elsewhere with results obtained by other methods. DA - 1986 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1986 T1 - Electromagnetic field solutions via the finite element method TI - Electromagnetic field solutions via the finite element method UR - http://hdl.handle.net/11427/21964 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/21964
dc.identifier.vancouvercitationWatkins LR. Electromagnetic field solutions via the finite element method. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Electrical Engineering, 1986 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/21964en_ZA
dc.language.isoEngen_ZA
dc.publisher.departmentDepartment of Electrical Engineeringen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherElectrical Engineeringen_ZA
dc.titleElectromagnetic field solutions via the finite element methoden_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMSc (Eng)en_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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