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

文献类型：期刊论文

作者Fu, Yaoyao1,2; Cao, Liqun2
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期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
DOI10.1016/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
WOS记录号WOS:000789632300008
出版者ELSEVIER
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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