Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems

doi:10.1051/m2an/2021064

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	Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems
	Wei, Changkun 1,2; Yang, Jiaqing 3; Zhang, Bo4,5,6
	2021-10-26
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	55 期号:5 页码:2421-2443
摘要	In this paper, we propose and study the uniaxial perfectly matched layer (PML) method for three-dimensional time-domain electromagnetic scattering problems, which has a great advantage over the spherical one in dealing with problems involving anisotropic scatterers. The truncated uniaxial PML problem is proved to be well-posed and stable, based on the Laplace transform technique and the energy method. Moreover, the L-2-norm and L-infinity-norm error estimates in time are given between the solutions of the original scattering problem and the truncated PML problem, leading to the exponential convergence of the time-domain uniaxial PML method in terms of the thickness and absorbing parameters of the PML layer. The proof depends on the error analysis between the EtM operators for the original scattering problem and the truncated PML problem, which is different from our previous work (Wei et al. [SIAM J. Numer. Anal. 58 (2020) 1918-1940]).
关键词	Well-posedness stability time-domain electromagnetic scattering uniaxial PML exponential convergence
DOI	10.1051/m2an/2021064
收录类别	SCI
语种	英语
资助项目	NNSF of China[12122114] ; NNSF of China[11771349] ; Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education[NRF-2020R1I1A1A01073356]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000711122500001
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/59484
专题	应用数学研究所
通讯作者	Yang, Jiaqing
作者单位	1.Beijing Jiaotong Univ, Sch Sci, Dept Math, Beijing 100044, Peoples R China 2.Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea 3.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 4.Chinese Acad Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 6.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wei, Changkun,Yang, Jiaqing,Zhang, Bo. Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2021,55(5):2421-2443.
APA	Wei, Changkun,Yang, Jiaqing,&Zhang, Bo.(2021).Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,55(5),2421-2443.
MLA	Wei, Changkun,et al."Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 55.5(2021):2421-2443.