Interior penalty DG methods for Maxwell's equations in dispersive media

Authors:
Yunqing Huang;Jichun Li;Wei Yang
Affiliations:
Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, China;Department of Mathematical Sciences, University of Nevada Las Vegas, NV 89154-4020, USA;Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, China
Venue:
Journal of Computational Physics
Year:
2011

Citing 13
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Abstract

In this paper, we develop a fully-discrete interior penalty discontinuous Galerkin method for solving the time-dependent Maxwell's equations in dispersive media. The model is described by a vector integral-differential equation. Our scheme is proved to be unconditionally stable and achieve optimal error estimates in both L^2 norm and energy norm. The scheme is implemented and numerical results supporting our analysis are presented.