An adaptive edge finite element method for electromagnetic cloaking simulation

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• 作者：Jichun Li^a ; ^b ; ^{jichun@unlv.nevada.edu} ; Yunqing Huang^a ; ^{huangyq@xtu.edu.cn} ; Wei Yang^a ; ^{yangweixtu@126.com}
• 关键词：Maxwell&rsquo ; s equations ; Invisibility cloak ; Finite element method
• 刊名：Journal of Computational Physics
• 出版年：2013
• 出版时间：15 September, 2013
• 年：2013
• 卷：249
• 期：Complete
• 页码：216-232
• 全文大小：9252 K

文摘

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.