Recent progress on mathematical analysis and numerical simulations for Maxwell's equations in perfectly matched layers and complex media: a review

被引：0
|
作者：
Li, Jichun [1 ]
机构：
[1] Univ Nevada Las Vegas, Dept Math Sci, Las Vegas, NV 89154 USA
来源：
ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 03期
关键词：
Maxwell's equations; finite element method; FDTD method; invisibility cloak; metamaterials; perfectly matched layer; graphene; DISCONTINUOUS GALERKIN METHODS; ABSORBING BOUNDARY-CONDITIONS; FINITE-ELEMENT APPROXIMATION; HARMONIC SCATTERING PROBLEMS; TIME-DOMAIN METHOD; ELECTROMAGNETIC SCATTERING; WELL-POSEDNESS; NEGATIVE INDEX; BIANISOTROPIC MATERIALS; CONVERGENCE ANALYSIS;
D O I：
10.3934/era.2024087
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we presented a review on some recent progress achieved for simulating Maxwell's equations in perfectly matched layers and complex media such as metamaterials and graphene. We mainly focused on the stability analysis of the modeling equations and development and analysis of the numerical schemes. Some open issues were pointed out, too.
引用
收藏
页码：1901 / 1922
页数：22
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