KMS Of Academy of mathematics and systems sciences, CAS
| Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge | |
| Ma, Chupeng1,2; Zhang, Yongwei3; Cao, Liqun4,5 | |
| 2021-10-26 | |
| Source Publication | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| ISSN | 0272-4979 |
| Pages | 23 |
| Abstract | 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. |
| Keyword | error estimates Galerkin finite element methods time stepping scheme Maxwell-Schrodinger |
| DOI | 10.1093/imanum/drab076 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000790124900001 |
| Publisher | OXFORD UNIV PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60415 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ma, Chupeng |
| Affiliation | 1.Heidelberg Univ, Inst Appl Math, D-69120 Heidelberg, Germany 2.Heidelberg Univ, Interdisciplinary Ctr Sci Comp, D-69120 Heidelberg, Germany 3.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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. |
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