ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR THE MAXWELL-SCHRODINGER SYSTEM IN THE COULOMB GAUGE
文献类型：期刊论文
| 作者 | Ma, Chupeng1; Cao, Liqun2,3 ; Huang, Jizu2,3
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| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
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| 出版日期 | 2019 |
| 卷号 | 16期号:1页码:139-166 |
| 关键词 | Maxwell-Schrodinger finite element method energy conserving error estimates |
| ISSN号 | 1705-5105 |
| 英文摘要 | In this paper, we consider the initial-boundary value problem for the time-dependent Maxwell-Schrodinger system in the Coulomb gauge. We propose a fully discrete finite element scheme for the system and prove the conservation of energy and the stability estimates of the scheme. By approximating the vector potential A and the scalar potential phi respectively in two finite element spaces satisfying certain orthogonality relation, we tackle the mixed derivative term in the discrete system and make the numerical computations and the theoretical analysis more easier. The existence and uniqueness of solutions to the discrete system are also investigated. The (almost) unconditionally error estimates are derived for the numerical scheme without certain restriction like tau <= Ch(alpha) on the time step tau by using a new technique. Finally, numerical experiments are carried out to support our theoretical analysis. |
| 资助项目 | National Natural Science Foundation of China[11571353] ; National Natural Science Foundation of China[91330202] ; Funds for Creative Research Group of China[11321061] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000459444000007 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32540]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Ma, Chupeng |
| 作者单位 | 1.Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Kowloon, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, Chupeng,Cao, Liqun,Huang, Jizu. ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR THE MAXWELL-SCHRODINGER SYSTEM IN THE COULOMB GAUGE[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2019,16(1):139-166. |
| APA | Ma, Chupeng,Cao, Liqun,&Huang, Jizu.(2019).ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR THE MAXWELL-SCHRODINGER SYSTEM IN THE COULOMB GAUGE.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,16(1),139-166. |
| MLA | Ma, Chupeng,et al."ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR THE MAXWELL-SCHRODINGER SYSTEM IN THE COULOMB GAUGE".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 16.1(2019):139-166. |
入库方式： OAI收割
来源：数学与系统科学研究院
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