WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA

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	WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA
	Zhang, Yongwei 1; Cao, Liqun 2,3; Shi, Dongyang 1
	2021
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	18 期号:2 页码:235-264
摘要	This paper discusses the well-posedness and the multiscale algorithm for the heterogeneous scattering of Maxwell's equations in dispersive media with a periodic microstructure or with many subdivided periodic microstructures. An exact transparent boundary condition is developed to reduce the scattering problem into an initial-boundary value problem in heterogeneous materials. The well-posedness and the stability analysis for the reduced problem are derived. The multiscale asymptotic expansions of the solution for the reduced problem are presented. The convergence results of the multiscale asymptotic method are proved for the dispersive media with a periodic microstructure. A multiscale Crank-Nicolson mixed finite element method (FEM) is proposed where the perfectly matched layer (PML) is utilized to truncate infinite domain problems. Numerical test studies are then carried out to validate the theoretical results.
关键词	Maxwell's equations dispersive medium well-posedness the multiscale asymptotic expansion finite element method
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11971030]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000625383900005
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58291
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, Liqun
作者单位	1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS,LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100147, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Yongwei,Cao, Liqun,Shi, Dongyang. WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2021,18(2):235-264.
APA	Zhang, Yongwei,Cao, Liqun,&Shi, Dongyang.(2021).WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,18(2),235-264.
MLA	Zhang, Yongwei,et al."WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 18.2(2021):235-264.