Mathematical Analysis and Time-Domain Finite Element Simulation of Carpet Cloak

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Applied Mathematics, volume 74, pages 1,136-1,151 (issn: 0036-1399, eissn: 1095-712X,

Authors: Jichun Li; Yunqing Huang; Wei Yang; Aihua Wood;

doi: 10.1137/140959250

Mathematical Analysis and Time-Domain Finite Element Simulation of Carpet Cloak

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Abstract

In this paper, a mathematical analysis of the popular carpet cloak model is carried out. The well-posedness of the model is first proved, and then a finite element time-domain method is developed for solving this model. Three carpet cloak simulations are demonstrated to show the effectiveness of our model and the developed algorithm. To the best of our knowledge, this is the first mathematical analysis carried out for the carpet cloak model. The numerical simulation using edge elements for the carpet cloak model is also original.

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