Implementation and experiments with the discontinuous Galerkin method for Maxwell's equations
Pinto, Heitor D.
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https://hdl.handle.net/2142/14649
Description
Title
Implementation and experiments with the discontinuous Galerkin method for Maxwell's equations
Author(s)
Pinto, Heitor D.
Issue Date
2010-01-06T16:20:26Z
Director of Research (if dissertation) or Advisor (if thesis)
Jin, Jianming
Department of Study
Electrical & Computer Eng
Discipline
Electrical & Computer Engr
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(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.
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