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

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2010

Author dc:creator

• Pinto, Heitor D.

Contributors dc:contributor

• Jin, Jianming

• electromagnetism
• computational electromagnetics
• numerical method
• discontinuous Galerkin
• Maxwell's equations

Statement dc:rights

• Copyright 2009 Heitor D. Pinto

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/14649

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/14649