CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS

doi:10.1137/19M126517X

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	CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS
	Wei, Changkun 1,2; Yang, Jiaqing 3; Zhang, Bo1,2,4
	2020
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	58 期号:3 页码:1918-1940
摘要	In this paper, a perfectly matched layer (PML) method is proposed to solve the time-domain electromagnetic scattering problems in three dimensions effectively. The PML problem is defined in a spherical layer and derived by using the Laplace transform and real coordinate stretching in the frequency domain. The well-posedness and the stability estimate of the PML problem are first proved based on the Laplace transform and the energy method. The exponential convergence of the PML method is then established in terms of the thickness of the layer and the PML absorbing parameter. As far as we know, this is the first convergence result for the time-domain PML method for the three-dimensional Maxwell equations. Our proof is mainly based on the stability estimates of solutions of the truncated PML problem and the exponential decay estimates of the stretched dyadic Green's function for the Maxwell equations in the free space.
关键词	well-posedness stability time-domain electromagnetic scattering PML exponential convergence
DOI	10.1137/19M126517X
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[91630309] ; National Natural Science Foundation of China[11771349]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000546992400021
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51751
专题	应用数学研究所
通讯作者	Wei, Changkun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 4.Chinese Acad Sci, LSEC, NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wei, Changkun,Yang, Jiaqing,Zhang, Bo. CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2020,58(3):1918-1940.
APA	Wei, Changkun,Yang, Jiaqing,&Zhang, Bo.(2020).CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS,58(3),1918-1940.
MLA	Wei, Changkun,et al."CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS".SIAM JOURNAL ON NUMERICAL ANALYSIS 58.3(2020):1918-1940.