Three-scale finite element discretizations for quantum eigenvalue problems
文献类型：期刊论文
| 作者 | Dai, Xiaoying1,2 ; Zhou, Aihui1
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2008 |
| 卷号 | 46期号:1页码:295-324 |
| 关键词 | eigenvalue finite element ground state energy local computation three-scale quantum chemistry |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/06067780X |
| 英文摘要 | Based on globally and locally coupled discretizations, some three-scale finite element schemes are proposed in this paper for a class of quantum eigenvalue problems. It is shown that the solution of a quantum eigenvalue problem on a fine grid may be reduced to the solution of an eigenvalue problem on a relatively coarse grid, and the solutions of linear algebraic systems on a globally mesoscopic grid and the locally fine grid, and the resulting solution is still very satisfactory. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000253017100013 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5874]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Dai, Xiaoying |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, LSEC, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Xiaoying,Zhou, Aihui. Three-scale finite element discretizations for quantum eigenvalue problems[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2008,46(1):295-324. |
| APA | Dai, Xiaoying,&Zhou, Aihui.(2008).Three-scale finite element discretizations for quantum eigenvalue problems.SIAM JOURNAL ON NUMERICAL ANALYSIS,46(1),295-324. |
| MLA | Dai, Xiaoying,et al."Three-scale finite element discretizations for quantum eigenvalue problems".SIAM JOURNAL ON NUMERICAL ANALYSIS 46.1(2008):295-324. |
入库方式： OAI收割
来源：数学与系统科学研究院
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