Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates
文献类型：期刊论文
| 作者 | Xie, Hehu2,3; Xie, Manting1 |
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2019-11-01 |
| 卷号 | 81期号:2页码:1072-1087 |
| ISSN号 | 0885-7474 |
| 关键词 | Bose-Einstein condensate Gross-Pitaevskii equation Finite element method Computable error estimates Lower bound |
| DOI | 10.1007/s10915-019-01051-9 |
| 英文摘要 | In this paper, we propose a computable error estimate of the Gross-Pitaevskii equation for the ground state solution of the Bose-Einstein condensate by the general conforming finite element method on general meshes. Based on this error estimate, the asymptotically lower and upper bound for the smallest eigenvalue and ground state energy can be calculated. Several numerical examples are presented to validate the theoretical results in this paper. |
| 资助项目 | National Nature Science Foundations of China[NSFC 11771434] ; National Nature Science Foundations of China[91330202] ; National Nature Science Foundations of China[11371026] ; National Center for Mathematics and Interdisciplinary Science, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| WOS记录号 | WOS:000491440200018 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50672]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xie, Manting |
| 作者单位 | 1.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, 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 | Xie, Hehu,Xie, Manting. Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,81(2):1072-1087. |
| APA | Xie, Hehu,&Xie, Manting.(2019).Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates.JOURNAL OF SCIENTIFIC COMPUTING,81(2),1072-1087. |
| MLA | Xie, Hehu,et al."Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates".JOURNAL OF SCIENTIFIC COMPUTING 81.2(2019):1072-1087. |
入库方式： OAI收割
来源：数学与系统科学研究院
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