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Implementation and experiments with the discontinuous Galerkin method for Maxwell's equations

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Title: Implementation and experiments with the discontinuous Galerkin method for Maxwell's equations
Author(s): Pinto, Heitor D.
Advisor(s): Jin, Jianming
Department / Program: Electrical & Computer Eng
Discipline: Electrical & Computer Engr
Degree Granting Institution: University of Illinois at Urbana-Champaign
Degree: M.S.
Genre: Thesis
Subject(s): electromagnetism computational electromagnetics numerical method discontinuous Galerkin Maxwell's equations
Abstract: This thesis presents the mathematical derivation and implementation of, and improvements to, the discontinuous Galerkin method (DGM) for solving Maxwell’s equations. Each step leading to the development of a computer code for this method is explained in detail, and samples codes are included in the Appendix. This work also shows numerical results of several experiments with the method, namely: simulation of simple electromagnetic problems with a known analytical solution for comparison and error analysis; comparison of different time discretization schemes, which are not strictly part of DGM; reduction of computation time with the use of adaptive time steps; and analysis of accuracy of absorbing boundaries in scattering problems. A discussion listing advantages and limitations of DGM concludes this work.
Issue Date: 2010-01-06
URI: http://hdl.handle.net/2142/14649
Rights Information: Copyright 2009 Heitor D. Pinto
Date Available in IDEALS: 2010-01-06
Date Deposited: December 2
 

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