A Multigrid Method for Ground State Solution of Bose-Einstein Condensates
文献类型：期刊论文
| 作者 | Xie, Hehu1 ; Xie, Manting2
|
| 刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2016-03-01 |
| 卷号 | 19期号:3页码:648-662 |
| ISSN号 | 1815-2406 |
| 关键词 | BEC GPE eigenvalue problem multigrid multilevel correction finite element method |
| DOI | 10.4208/cicp.191114.130715a |
| 英文摘要 | A multigrid method is proposed to compute the ground state solution of Bose-Einstein condensations by the finite element method based on the multilevel correction for eigenvalue problems and the multigrid method for linear boundary value problems. In this scheme, obtaining the optimal approximation for the ground state solution of Bose-Einstein condensates includes a sequence of solutions of the linear boundary value problems by the multigrid method on the multilevel meshes and some solutions of nonlinear eigenvalue problems some very low dimensional finite element space. The total computational work of this scheme can reach almost the same optimal order as solving the corresponding linear boundary value problem. Therefore, this type of multigrid scheme can improve the overall efficiency for the simulation of Bose-Einstein condensations. Some numerical experiments are provided to validate the efficiency of the proposed method. |
| 资助项目 | National Science Foundations of China[NSFC 91330202] ; National Science Foundations of China[11371026] ; National Science Foundations of China[11001259] ; National Science Foundations of China[11031006] ; National Science Foundations of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Science, CAS ; President Foundation of AMSS-CAS |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| 出版者 | GLOBAL SCIENCE PRESS |
| WOS记录号 | WOS:000372156900005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22263]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xie, Hehu |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xie, Hehu,Xie, Manting. A Multigrid Method for Ground State Solution of Bose-Einstein Condensates[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2016,19(3):648-662. |
| APA | Xie, Hehu,&Xie, Manting.(2016).A Multigrid Method for Ground State Solution of Bose-Einstein Condensates.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,19(3),648-662. |
| MLA | Xie, Hehu,et al."A Multigrid Method for Ground State Solution of Bose-Einstein Condensates".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 19.3(2016):648-662. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。