Numerical analysis of a finite element method for the electromagnetic concentrator model

被引：0
作者：
Yunqing Huang
Jichun Li
机构：
[1] Xiangtan University,Hunan Key Laboratory for Computation and Simulation in Science and Engineering
[2] University of Nevada Las Vegas,Department of Mathematical Sciences
来源：
Advances in Computational Mathematics | 2020年 / 46卷
关键词：
Maxwell’s equations; Finite element method; Edge elements; Metamaterial; 78M10; 65N30; 65F10; 78-08;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the electromagnetic concentrator model obtained through transformation optics. This model is formed by a system of coupled time-dependent Maxwell’s equations with three unknowns, which makes the analysis and simulation much more challenging compared to the standard Maxwell equations. In our previous work (W. Yang, J. Li, Y. Huang, and B. He, Commun. Comput. Phys., 25(1), pp. 135–154, 2019), we proposed a finite element time-domain (FETD) method with edge elements for solving this model efficiently without any theoretical analysis. Here, we provide a rigorous analysis for the mathematical modelling equations and the FETD method proposed there.
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