Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge
文献类型：期刊论文
| 作者 | Ma, Chupeng4,5; Zhang, Yongwei3; Cao, Liqun1,2 |
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2021-10-26 |
| 页码 | 23 |
| 关键词 | error estimates Galerkin finite element methods time stepping scheme Maxwell-Schrodinger |
| ISSN号 | 0272-4979 |
| DOI | 10.1093/imanum/drab076 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000790124900001 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60414]  |
| 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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 4.Heidelberg Univ, Interdisciplinary Ctr Sci Comp, D-69120 Heidelberg, Germany 5.Heidelberg Univ, Inst Appl Math, D-69120 Heidelberg, Germany |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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