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An adaptive edge finite element method for electromagnetic cloaking simulation

Jichun Li University of Nevada Las Vegas

Numerical Analysis and Scientific Computing mathscidoc:1702.25009

Journal of Computational Physics, 249, 216–232, 2013
In this paper we develop an adaptive edge finite element method based on a reliable and efficient recovery type a posteriori error estimator for time-harmonic Maxwell equations. The asymptotically exact a posteriori error estimator is based on the superconvergence result proved for the lowest-order edge element on triangular grids, where most pairs of triangles sharing a common edge form approximate parallelograms. The efficiency and robustness of the proposed method is demonstrated by extensive numerical experiments for electromagnetic cloaking problems with highly anisotropic permittivity and permeability.
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@inproceedings{jichun2013an,
  title={An adaptive edge finite element method for electromagnetic cloaking simulation},
  author={Jichun Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205131547225411172},
  booktitle={Journal of Computational Physics},
  volume={249},
  pages={216–232},
  year={2013},
}
Jichun Li. An adaptive edge finite element method for electromagnetic cloaking simulation. 2013. Vol. 249. In Journal of Computational Physics. pp.216–232. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170205131547225411172.
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