An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures

doi:10.1093/imanum/drab052

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	An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures
	Jiang, Xue 1; Li, Peijun 2; Lv, Junliang 3; Wang, Zhoufeng 4; Wu, Haijun 5; Zheng, Weiying 6
	2021-07-13
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
页码	35
摘要	We consider the diffraction of an electromagnetic plane wave by a biperiodic structure. This paper is concerned with a numerical solution of the diffraction grating problem for three-dimensional Maxwell's equations. Based on the Dirichlet-to-Neumann (DtN) operator, an equivalent boundary value problem is formulated in a bounded domain by using a transparent boundary condition. An a posteriori error estimate-based adaptive edge finite element method is developed for the variational problem with the truncated DtN operator. The estimate takes account of both the finite element approximation error and the truncation error of the DtN operator, where the former is used for local mesh refinements and the latter is shown to decay exponentially with respect to the truncation parameter. Numerical experiments are presented to demonstrate the competitive behaviour of the proposed method.
关键词	Maxwell's equations diffractive grating problem biperiodic structures adaptive finite element method transparent boundary condition a posteriori error estimate
DOI	10.1093/imanum/drab052
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11771057] ; National Natural Science Foundation of China[11525103] ; NSF[DMS1912704] ; Natural Science Foundation of Jilin Province[20200201259JC] ; Science Challenge Project[TZ2016002] ; Fundamental Research Funds for the Central Universities[020314380034] ; Natural Science Foundation of Henan Province[202300410156] ; National Key R&D Program of China[2019YFA0709600] ; National Key R&D Program of China[2019YFA0709602] ; China NSF[11831016] ; National Science Fund for Distinguished Young Scholars[11725106]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000755871700001
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59984
专题	中国科学院数学与系统科学研究院
通讯作者	Lv, Junliang
作者单位	1.Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China 2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 3.Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China 4.Henan Univ Sci & Technol, Sch Math & Stat, Zhengzhou 471023, Henan, Peoples R China 5.Nanjing Univ, Dept Math, Wuxi 210093, Jiangsu, Peoples R China 6.Univ Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp,Chinese Acad S, Acad Math & Syst Sci,Sch Math Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Xue,Li, Peijun,Lv, Junliang,et al. An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2021:35.
APA	Jiang, Xue,Li, Peijun,Lv, Junliang,Wang, Zhoufeng,Wu, Haijun,&Zheng, Weiying.(2021).An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures.IMA JOURNAL OF NUMERICAL ANALYSIS,35.
MLA	Jiang, Xue,et al."An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures".IMA JOURNAL OF NUMERICAL ANALYSIS (2021):35.