Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 196, Issue 33-34, Pages 3081-3094Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2006.12.009
Keywords
Maxwell's equations; dispersive media; mixed finite element method
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We consider the time dependent Maxwell's equations in dispersive media in a bounded three-dimensional (3-D) domain. Fully discrete mixed finite element methods are developed for three most popular dispersive media models: i.e., the isotropic cold plasma, the one-pole Debye medium and the two-pole Lorentz medium. Optimal error estimates are proved for those three dispersive media under the assumption that the solutions are smooth enough. Numerical results justifying our analysis are provided. We believe that this is the first error analysis carried out for fully discrete mixed finite element methods for solving 3-D Maxwell's equations in dispersive media. (C) 2007 Elsevier B.V. All rights reserved.
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