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Superconvergence analysis for maxwell’s equations in dispersive media

Qun Lin Academy of Mathematics and Systems Science, Chinese Academy of Sciences Jichun Li University of Nevada Las Vegas

Numerical Analysis and Scientific Computing mathscidoc:1702.25018

Mathematics of Computation, 77, (262), 757–771, 2008
In this paper, we consider the time dependent Maxwell’s equations in dispersive media on a bounded three-dimensional domain. Global superconvergence is obtained for semi-discrete mixed finite element methods for three most popular dispersive media models: the isotropic cold plasma, the one-pole Debye medium, and the two-pole Lorentz medium. Global superconvergence for a standard finite element method is also presented. To our best knowledge, this is the first superconvergence analysis obtained for Maxwell’s equations when dispersive media are involved.
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@inproceedings{qun2008superconvergence,
  title={SUPERCONVERGENCE ANALYSIS FOR MAXWELL’S EQUATIONS IN DISPERSIVE MEDIA},
  author={Qun Lin, and Jichun Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205133930194185181},
  booktitle={Mathematics of Computation},
  volume={77},
  number={262},
  pages={757–771},
  year={2008},
}
Qun Lin, and Jichun Li. SUPERCONVERGENCE ANALYSIS FOR MAXWELL’S EQUATIONS IN DISPERSIVE MEDIA. 2008. Vol. 77. In Mathematics of Computation. pp.757–771. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205133930194185181.
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