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Error analysis of a discontinuous Galerkin method for Maxwell equations in dispersive media

✍ Scribed by Bo Wang; Ziqing Xie; Zhimin Zhang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
721 KB
Volume
229
Category
Article
ISSN
0021-9991

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✦ Synopsis

A discontinuous Galerkin method for the numerical approximation of time-dependent Maxwell equations in three different dispersive media is introduced. Both the L 2 -stability and error estimate of the DG method are discussed in detail. We show that the proposed method has an accuracy of Oðh kþ 1 2 Þ under the L 2 -norm when polynomials of degree k in space are used. Furthermore, numerical experiments are provided to justify our theoretical analysis.

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