A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration
文献类型：期刊论文
| 作者 | Xu, Fei1; Xie, Hehu2,3; Xie, Manting4; Yue, Meiling5 |
| 刊名 | BIT NUMERICAL MATHEMATICS
 |
| 出版日期 | 2021-01-19 |
| 页码 | 19 |
| ISSN号 | 0006-3835 |
| 关键词 | BEC GPE Nonlinear eigenvalue problem Multigrid method Finite element method |
| DOI | 10.1007/s10543-020-00830-3 |
| 英文摘要 | In this paper, a new kind of multigrid method is proposed for the ground state solution of Bose-Einstein condensates based on Newton iteration scheme. Instead of treating eigenvalue lambda and eigenvector u separately, we regard the eigenpair (lambda,u) as one element in the composite space RxH(0)(1)(Omega) and then Newton iteration step is adopted for the nonlinear problem. Thus in this multigrid scheme, the main computation is to solve a linear discrete boundary value problem in every refined space, which can improve the overall efficiency for the simulation of Bose-Einstein condensations. |
| 资助项目 | National Key Research and Development Program of China[2019YFA0709601] ; National Natural Science Foundations of China[NSFC 11771434] ; National Natural Science Foundations of China[11801021] ; National Natural Science Foundations of China[91730302] ; National Natural Science Foundations of China[91630201] ; National Center for Mathematics and Interdisciplinary Science, CAS |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER |
| WOS记录号 | WOS:000609122600001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57982]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yue, Meiling |
| 作者单位 | 1.Beijing Univ Technol, Fac Sci, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 5.Beijing Technol & Business Univ, Sch Math & Stat, Beijing 100048, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Fei,Xie, Hehu,Xie, Manting,et al. A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration[J]. BIT NUMERICAL MATHEMATICS,2021:19. |
| APA | Xu, Fei,Xie, Hehu,Xie, Manting,&Yue, Meiling.(2021).A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration.BIT NUMERICAL MATHEMATICS,19. |
| MLA | Xu, Fei,et al."A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration".BIT NUMERICAL MATHEMATICS (2021):19. |
入库方式： OAI收割
来源：数学与系统科学研究院
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