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Unified Analysis of Time Domain Mixed Finite Element Methods for Maxwell's Equations in Dispersive Media

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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