Reflection/transmission characteristics of a discontinuous Galerkin method for Maxwell's equations in dispersive inhomogeneous media

Xia Ji*, Wei Cai, Pingwen Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this paper, we analyze the transmission and reflection properties of a high order discontinuous Galerkin method for dispersive Maxwell's equations, originally proposed by Lu et al. [J. Comput. Phys. 200 (2004), pp. 549-580]. We study the reflection and transmission properties of the numerical method for up to second-order polynomial elements for one-and two-dimensional Maxwell's equations with rectangular meshes. High order accuracy has been shown for reflection and transmission coefficients near material interfaces.

Original languageEnglish
Pages (from-to)347-364
Number of pages18
JournalJournal of Computational Mathematics
Volume26
Issue number3
Publication statusPublished - May 2008
Externally publishedYes

Keywords

  • Discontinuous Galerkin Method
  • Reflection
  • Transmission

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