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Volume 28, Issue 5
Unified Analysis of Time Domain Mixed Finite Element Methods for Maxwell's Equations in Dispersive Media

Jichun Li & Zhimin Zhang

DOI: 10.4208/jcm.1001-m3072

J. Comp. Math., 28 (2010), pp. 693-710.

Published online: 2010-10

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30, 35L15, 78-08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-28-693, author = {}, title = {Unified Analysis of Time Domain Mixed Finite Element Methods for Maxwell's Equations in Dispersive Media}, journal = {Journal of Computational Mathematics}, year = {2010}, volume = {28}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1001-m3072}, url = {http://global-sci.org/intro/article_detail/jcm/8544.html} }
TY - JOUR T1 - Unified Analysis of Time Domain Mixed Finite Element Methods for Maxwell's Equations in Dispersive Media JO - Journal of Computational Mathematics VL - 5 SP - 693 EP - 710 PY - 2010 DA - 2010/10 SN - 28 DO - http://doi.org/10.4208/jcm.1001-m3072 UR - https://global-sci.org/intro/article_detail/jcm/8544.html KW - Maxwell's equations, Dispersive media, Mixed finite element method. AB -

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.

Jichun Li & Zhimin Zhang. (1970). Unified Analysis of Time Domain Mixed Finite Element Methods for Maxwell's Equations in Dispersive Media. Journal of Computational Mathematics. 28 (5). 693-710. doi:10.4208/jcm.1001-m3072
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