The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge

doi:10.1016/j.cam.2021.114007

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	The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge
	Fu, Yaoyao 1,2; Cao, Liqun 2
	2022-06-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	407 页码:20
摘要	This paper discusses the numerical algorithm and its convergence for solving the time dependent Maxwell-Dirac system with the perfect conductive boundary conditions under the Lorentz gauge. An alternating Crank-Nicolson Galerkin finite element method for solving the problem is presented. This algorithm preserves the conservation of the mass and energy of the system. The sharp error estimates for both the solution and the energy are derived. Numerical test studies are then carried out to confirm the theoretical results. (C)& nbsp;2021 Elsevier B.V. All rights reserved.
关键词	Time-dependent Maxwell-Dirac system Error estimate Topological insulator Graphene Superconductor Crank-Nicolson Galerkin finite element method
DOI	10.1016/j.cam.2021.114007
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11971030] ; National Natural Science Foundation of China[11571353] ; National Natural Science Foundation of China[91330202]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000789632300008
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61301
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.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Univ Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp,LSEC,NCMIS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Fu, Yaoyao,Cao, Liqun. The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2022,407:20.
APA	Fu, Yaoyao,&Cao, Liqun.(2022).The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,407,20.
MLA	Fu, Yaoyao,et al."The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 407(2022):20.