Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium

doi:10.1051/m2an/2019082

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	Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium
	Duan, Xiaoqi 1,2; Jiang, Xue 3; Zheng, Weiying 1,4
	2020-04-09
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	54 期号:3 页码:929-956
摘要	The perfectly matched layer (PML) method is extensively studied for scattering problems in homogeneous background media. However, rigorous studies on the PML method in layered media are very rare in the literature, particularly, for three-dimensional electromagnetic scattering problems. Cartesian PML method is favorable in numerical solutions since it is apt to deal with anisotropic scatterers and to construct finite element meshes. Its theories are more difficult than circular PML method due to anisotropic wave-absorbing materials. This paper presents a systematic study on the Cartesian PML method for three-dimensional electromagnetic scattering problem in a two-layer medium. We prove the well-posedness of the PML truncated problem and that the PML solution converges exponentially to the exact solution as either the material parameter or the thickness of PML increases. To the best of the authors' knowledge, this is the first theoretical work on Cartesian PML method for Maxwell's equations in layered media.
关键词	Cartesian perfectly matched layer exponential convergence electromagnetic scattering problem Maxwell's equation two-layer medium
DOI	10.1051/m2an/2019082
收录类别	SCI
语种	英语
资助项目	National Science Fund for Distinguished Young Scholars[11725106] ; China NSF[11831016] ; China NSF[11771057] ; China NSF[11671052]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000526853400001
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51197
专题	中国科学院数学与系统科学研究院
通讯作者	Zheng, Weiying
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Duan, Xiaoqi,Jiang, Xue,Zheng, Weiying. Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2020,54(3):929-956.
APA	Duan, Xiaoqi,Jiang, Xue,&Zheng, Weiying.(2020).Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,54(3),929-956.
MLA	Duan, Xiaoqi,et al."Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 54.3(2020):929-956.