Unified Analysis of Time Domain Mixed Finite Element Methods for Maxwell's Equations in Dispersive Media
Year: 2010
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 5 : pp. 693–710
Abstract
In this paper, we consider the time dependent Maxwell's equations when dispersive media are involved. The Crank-Nicolson mixed finite element methods are developed for three most popular dispersive medium models: the isotropic cold plasma, the one-pole Debye medium and the two-pole Lorentz medium. Optimal error estimates are proved for all three models solved by the Raviart-Thomas-Nédélec spaces. Extensions to multiple pole dispersive media are presented also.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1001-m3072
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 5 : pp. 693–710
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Maxwell's equations Dispersive media Mixed finite element method.
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