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Finite Element Analysis of Maxwell’s Equations in Dispersive Lossy Bi-Isotropic Media

Published online by Cambridge University Press:  03 June 2015

Yunqing Huang ,
Jichun Li  and
Yanping Lin
Yunqing Huang*
Affiliation:
Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan 411105, China
Jichun Li*
Affiliation:
Department of Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, Nevada 89154-4020, USA
Yanping Lin*
Affiliation:
Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Hong Kong, and Department of Mathematical and Statistics Science, University of Alberta, Edmonton AB, Alberta T6G 2G1, Canada
*
Email: huangyq@xtu.edu.cn
Corresponding author. Email: jichun@unlv.nevada.edu
Email: ylin@math.ualberta.ca
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Abstract

In this paper, the time-dependent Maxwell’s equations used to modeling wave propagation in dispersive lossy bi-isotropic media are investigated. Existence and uniqueness of the modeling equations are proved. Two fully discrete finite element schemes are proposed, and their practical implementation and stability are discussed.

Keywords

65N3035L1578M10Maxwell’s equationsbi-isotropic mediafinite element method
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Special Issue 4 , August 2013 , pp. 494 - 509
Copyright
Copyright © Global-Science Press 2013

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