4.5 Article

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

Journal

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Volume 5, Issue 4, Pages 494-509

Publisher

GLOBAL SCIENCE PRESS
DOI: 10.4208/aamm.13-13S06

Keywords

Maxwell's equations; bi-isotropic media; finite element method

Funding

  1. National Science Foundation [DMS-0810896]
  2. NSFC [11271310, 11031006]
  3. Research Grants Council of Hong Kong
  4. NSERC (Canada)

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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.

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