Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

Jichun Li University of Nevada Las Vegas Jan Hesthaven EPFL

Numerical Analysis and Scientific Computing mathscidoc:1702.25005

Journal of Computational Physics, 258, 915–930, 2014
In this paper, we develop a nodal discontinuous Galerkin method for solving the time-dependent Maxwell’s equations when metamaterials are involved. Both semi- and fully-discrete schemes are constructed. Numerical stability and error estimate are proved for both schemes. Numerical results are presented to demonstrate that the method is not only efficient but also very effective in solving metamaterial Maxwell’s equatons.
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@inproceedings{jichun2014analysis,
  title={Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials},
  author={Jichun Li, and Jan Hesthaven},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205130322493867168},
  booktitle={Journal of Computational Physics},
  volume={258},
  pages={915–930},
  year={2014},
}
Jichun Li, and Jan Hesthaven. Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. 2014. Vol. 258. In Journal of Computational Physics. pp.915–930. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205130322493867168.
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