Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge

doi:10.1093/imanum/drx060

	Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge
	Ma, Chupeng 1,2; Cao, Liqun1,2 ; Lin, Yanping 3
	2018-10-01
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	38 期号:4 页码:2074-2104
摘要	In this article, we study a numerical method and its convergence for solving the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge. An alternating Crank-Nicolson finite-element method for solving the problem is presented and an optimal error estimate for the numerical algorithm is obtained by a mathematical inductive method. Numerical experiments are then carried out to confirm the theoretical results.
关键词	error estimates Crank-Nicolson Galerkin method Maxwell-Schrodinger
DOI	10.1093/imanum/drx060
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000450010500015
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/31725
专题	计算数学与科学工程计算研究所
通讯作者	Cao, Liqun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Ma, Chupeng,Cao, Liqun,Lin, Yanping. Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2018,38(4):2074-2104.
APA	Ma, Chupeng,Cao, Liqun,&Lin, Yanping.(2018).Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge.IMA JOURNAL OF NUMERICAL ANALYSIS,38(4),2074-2104.
MLA	Ma, Chupeng,et al."Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge".IMA JOURNAL OF NUMERICAL ANALYSIS 38.4(2018):2074-2104.