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Numerical Study of the Plasma-Lorentz Model in Metamaterials

Jichun Li University of Nevada Las Vegas

Numerical Analysis and Scientific Computing mathscidoc:1702.25010

Journal of Scientific Computing, 54, 121–144, 2013
Since 2000, the study of metamaterial has been a very hot topic due to its potential applications in many areas such as design of invisibility cloak and sub-wavelength imaging. Although several metamaterial models are often used by physicists and engineers, the study of their mathematical properties has lagged behind. In this paper, we initiate our investigation in the plasma-Lorentz model. More specifically, we first discuss the well-posedness of this model, then develop two fully-discrete finite element methods for solving it. Detailed stability and error analysis are carried out, and 3-D numerical results justifying our theoretical analysis are presented.
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@inproceedings{jichun2013numerical,
  title={Numerical Study of the Plasma-Lorentz Model in Metamaterials},
  author={Jichun Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205131736737857173},
  booktitle={Journal of Scientific Computing},
  volume={54},
  pages={121–144},
  year={2013},
}
Jichun Li. Numerical Study of the Plasma-Lorentz Model in Metamaterials. 2013. Vol. 54. In Journal of Scientific Computing. pp.121–144. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205131736737857173.
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