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Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks

Jichun Li University of Nevada Las Vegas

Numerical Analysis and Scientific Computing mathscidoc:1702.25004

Mathematics of Computation, 84, (292), 543–562, 2015
The goal of this paper is to prove the well-posedness for the governing equations which are used for cylindrical cloaking simulation. A new time-domain finite element scheme is developed to solve the governing equations. Numerical results demonstrating the cloaking phenomenon with the cylindrical cloak are presented. We finally extend the analysis and simulation to an elliptical cloak model.
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@inproceedings{jichun2015well-posedness,
  title={WELL-POSEDNESS STUDY AND FINITE ELEMENT SIMULATION OF TIME-DOMAIN CYLINDRICAL AND ELLIPTICAL CLOAKS},
  author={Jichun Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205125752375106167},
  booktitle={Mathematics of Computation},
  volume={84},
  number={292},
  pages={543–562},
  year={2015},
}
Jichun Li. WELL-POSEDNESS STUDY AND FINITE ELEMENT SIMULATION OF TIME-DOMAIN CYLINDRICAL AND ELLIPTICAL CLOAKS. 2015. Vol. 84. In Mathematics of Computation. pp.543–562. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205125752375106167.
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