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

Authors

  • Jichun Li & Zhimin Zhang

DOI:

https://doi.org/10.4208/jcm.1001-m3072

Keywords:

Maxwell's equations, Dispersive media, Mixed finite element method.

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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Published

2019-04-10

Abstract View

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Pdf View

  • 3519

Issue

Vol. 28 No. 5 (2010)

Section

Articles

How to Cite

Unified Analysis of Time Domain Mixed Finite Element Methods for Maxwell’s Equations in Dispersive Media. (2019). Journal of Computational Mathematics, 28(5), 693-710. https://doi.org/10.4208/jcm.1001-m3072