A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION
文献类型：期刊论文
| 作者 | Chen, Huajie1,2; Liu, Fang3; Zhou, Aihui1
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2009-03-01 |
| 卷号 | 27期号:2-3页码:315-337 |
| 关键词 | Higher-order Finite element Discretization Eigenvalue Schrodinger equation Two-scale |
| ISSN号 | 0254-9409 |
| 英文摘要 | In this paper, a two-scale higher-order finite element discretization scheme is proposed and analyzed for a Schrodinger equation on tensor product domains. With the scheme, the solution of the eigenvalue problem on a fine grid can be reduced to an eigenvalue problem on a much coarser grid together with some eigenvalue problems on partially fine grids. It is shown theoretically and numerically that the proposed two-scale higher-order scheme riot only significantly reduces the number of degrees of freedom but also produces very accurate approximations. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265073400013 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7856]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Chen, Huajie |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100190, Peoples R China 3.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Huajie,Liu, Fang,Zhou, Aihui. A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(2-3):315-337. |
| APA | Chen, Huajie,Liu, Fang,&Zhou, Aihui.(2009).A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(2-3),315-337. |
| MLA | Chen, Huajie,et al."A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.2-3(2009):315-337. |
入库方式： OAI收割
来源：数学与系统科学研究院
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