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Jin, Jianming Pinto, Heitor D. 2010-01-06T16:20:26Z 2010-01-06T16:20:26Z 2010-01-06T16:20:26Z 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 A discussion listing advantages and limitations of DGM concludes this work. 2009-12 Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2009-11-30T23:48:41Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Pinto_Heitor.sxw: 1328965 bytes, checksum: 244465d12298e1c4f8aab719cf003db3 (MD5) Pinto_Heitor.pdf: 684296 bytes, checksum: 57ab09164bb1545b741eae3d47509e8b (MD5) Made available in DSpace on 2010-01-06T16:20:26Z (GMT). No. of bitstreams: 3 license.txt: 4061 bytes, checksum: e2f31f8fa138b4bfa9b21e9a0845c639 (MD5) Pinto_Heitor.sxw: 1328965 bytes, checksum: 244465d12298e1c4f8aab719cf003db3 (MD5) Pinto_Heitor.pdf: 684296 bytes, checksum: 57ab09164bb1545b741eae3d47509e8b (MD5) http://hdl.handle.net/2142/14649 en Copyright 2009 Heitor D. Pinto electromagnetism computational electromagnetics numerical method discontinuous Galerkin Maxwell's equations Implementation and experiments with the discontinuous Galerkin method for Maxwell's equations Electrical & Computer Eng 1933 Electrical & Computer Engr 1200 University of Illinois at Urbana-Champaign Thesis M.S. MS:Electr & Computer Eng-UIUC 10KS1200MS