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

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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.

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Authors and Affiliations

  1. Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China

    Yunqing Huang

  2. Department of Mathematical Sciences, University of Nevada, Las Vegas, NV, USA

    Jichun Li

Authors
  1. Yunqing Huang
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  2. Jichun Li
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Corresponding author

Correspondence to Jichun Li.

Additional information

Y. Huang is supported by the NSFC for Distinguished Young Scholars (10625106) and National Basic Research Program of China under the grant 2005CB321701.

J. Li is supported by National Science Foundation grant DMS-0810896.

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Huang, Y., Li, J. Interior Penalty Discontinuous Galerkin Method for Maxwell’s Equations in Cold Plasma. J Sci Comput 41, 321–340 (2009). https://doi.org/10.1007/s10915-009-9300-6

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  • DOI: https://doi.org/10.1007/s10915-009-9300-6

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