@Article{JCM-28-693, author = {Jichun Li and Zhimin Zhang}, 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} }