Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

Authors:
Yunqing Huang;Jichun Li
Affiliations:
Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China;Department of Mathematical Sciences, University of Nevada, Las Vegas, USA
Venue:
Journal of Scientific Computing
Year:
2009

Citing 14
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Abstract

In this paper, we develop an interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell's equations in cold plasma. Both semi and fully discrete DG schemes are constructed, and optimal error estimates in the energy norm are proved. To our best knowledge, this is the first error analysis carried out for the DG method for Maxwell's equations in dispersive media.