Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model

被引：4
|
作者：
Li, Jichun [1 ]
Meng, Chen [2 ]
Huang, Yunqing [2 ]
机构：
[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
[2] Xiangtan Univ, Sch Math & Computat Sci, Minist Educ, Hunan Key Lab Computat & Simulat Sci & Engn,Key L, Xiangtan, Peoples R China
来源：
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2019年 / 19卷 / 02期
关键词：
Invisibility Cloak; Maxwell's Equations; Discontinuous Galerkin Method; Metamaterials; FINITE-ELEMENT-METHOD; MAXWELLS EQUATIONS; WELL-POSEDNESS; INVISIBILITY;
D O I：
10.1515/cmam-2018-0001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first give a quick review of the current status of the invisibility cloak with meta-materials. Then we focus on the carpet cloak model and establish an elegant stability different from our previous work. A similar discrete stability is also proved for a new FETD scheme. Then we prove the optimal convergence for this new scheme. Finally, we implement a new discontinuous Galerkin method and demonstrate its effectiveness in simulating the carpet cloaking phenomena.
引用
收藏
页码：359 / 378
页数：20
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