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Advances in Mathematical Methods and High Performance Computing pp 323–336Cite as

Analysis and Simulation of Time-Domain Elliptical Cloaks by the Discontinuous Galerkin Method

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Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 41))

Abstract

In this paper, we first give a quick review of the current status of the invisibility cloak with metamaterials. Then, we focus on the elliptical cloak model and establish its stability. Finally, we develop a discontinuous Galerkin method and demonstrate its effectiveness in reproducing the cloaking phenomena originally simulated by the edge element method.

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Acknowledgements

Work of the authors “Yunqing Huang and Chen Meng” was supported by the NSFC Key Project 91430213. Work of the author “Jichun Li” was supported by the NSF grant DMS-1416742 and NSFC project 11671340.

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Authors and Affiliations

  1. Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, China

    Yunqing Huang & Chen Meng

  2. Department of Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, NV, 89154-4020, USA

    Jichun Li

Authors
  1. Yunqing Huang
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  2. Chen Meng
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  3. Jichun Li
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Corresponding author

Correspondence to Jichun Li .

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Editors and Affiliations

  1. Department of Applied Science and Humanities, Inderprastha Engineering College, Ghaziabad, Uttar Pradesh, India

    Vinai K. Singh

  2. School of Science and Technology, Federation University Australia, Mt. Helen, VIC, Australia

    David Gao

  3. Institute of Numerical Mathematics, Technische Universität Dresden, Dresden, Germany

    Andreas Fischer

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Huang, Y., Meng, C., Li, J. (2019). Analysis and Simulation of Time-Domain Elliptical Cloaks by the Discontinuous Galerkin Method. In: Singh, V., Gao, D., Fischer, A. (eds) Advances in Mathematical Methods and High Performance Computing. Advances in Mechanics and Mathematics, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-030-02487-1_20

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