Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge

doi:10.1093/imanum/drab076

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	Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge
	Ma, Chupeng 1,2; Zhang, Yongwei 3; Cao, Liqun 4,5
	2021-10-26
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
页码	23
摘要	This paper is concerned with the numerical solution of the Maxwell-Schrodinger system under the temporal gauge, which describes light-matter interactions. We first propose a semidiscrete finite element scheme for the system and establish stability estimates for the finite element solution. Due to the lack of control over its divergence we cannot get H-1 a priori estimates for the vector potential, making it difficult to obtain error estimates by usual techniques. We apply an exhaustion argument to overcome this difficulty and derive error estimates for the finite element approximation. An energy-conserving time-stepping scheme is proposed to solve the semidiscrete system.
关键词	error estimates Galerkin finite element methods time stepping scheme Maxwell-Schrodinger
DOI	10.1093/imanum/drab076
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000790124900001
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/60415
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, Chupeng
作者单位	1.Heidelberg Univ, Inst Appl Math, D-69120 Heidelberg, Germany 2.Heidelberg Univ, Interdisciplinary Ctr Sci Comp, D-69120 Heidelberg, Germany 3.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Ma, Chupeng,Zhang, Yongwei,Cao, Liqun. Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2021:23.
APA	Ma, Chupeng,Zhang, Yongwei,&Cao, Liqun.(2021).Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge.IMA JOURNAL OF NUMERICAL ANALYSIS,23.
MLA	Ma, Chupeng,et al."Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge".IMA JOURNAL OF NUMERICAL ANALYSIS (2021):23.