Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge
文献类型：期刊论文
| 作者 | Ma, Chupeng1,2; Cao, Liqun1,2 ; Lin, Yanping3
|
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2018-10-01 |
| 卷号 | 38期号:4页码:2074-2104 |
| 关键词 | error estimates Crank-Nicolson Galerkin method Maxwell-Schrodinger |
| ISSN号 | 0272-4979 |
| DOI | 10.1093/imanum/drx060 |
| 英文摘要 | In this article, we study a numerical method and its convergence for solving the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge. An alternating Crank-Nicolson finite-element method for solving the problem is presented and an optimal error estimate for the numerical algorithm is obtained by a mathematical inductive method. Numerical experiments are then carried out to confirm the theoretical results. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000450010500015 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31724]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cao, Liqun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, Chupeng,Cao, Liqun,Lin, Yanping. Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2018,38(4):2074-2104. |
| APA | Ma, Chupeng,Cao, Liqun,&Lin, Yanping.(2018).Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge.IMA JOURNAL OF NUMERICAL ANALYSIS,38(4),2074-2104. |
| MLA | Ma, Chupeng,et al."Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge".IMA JOURNAL OF NUMERICAL ANALYSIS 38.4(2018):2074-2104. |
入库方式： OAI收割
来源：数学与系统科学研究院
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