TY - JOUR
T1 - Unified Analysis of Time Domain Mixed Finite Element Methods for Maxwell's Equations in Dispersive Media
AU - Jichun Li & Zhimin Zhang
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 - <p style="text-align: justify;">In this paper, we consider the time dependent Maxwell&#39;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.</p>