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

	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
刊名	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
	2022-06-01
卷号	407 页码:20
关键词	Time-dependent Maxwell-Dirac system Error estimate Topological insulator Graphene Superconductor Crank-Nicolson Galerkin finite element method
ISSN号	0377-0427
DOI	10.1016/j.cam.2021.114007
英文摘要	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.
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
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000789632300008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61300]
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.