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| SPACE-TIME FINITE ELEMENT METHOD FOR SCHRODINGER EQUATION AND ITS CONSERVATION | |
| 作者姓名： | 汤琼 陈传淼 刘罗华 |
| 作者单位： | [1]Department of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P. R. China [2]Department of Information and Mathematics Science, Zhuzhou Institutc of Technology, Zhuzhou 412008, Hunan Province, P. R. China |
| 摘 要： | |
| 关 键 词： | 非线性SchrSdinger方程 时空有限元法 能量整合 连续有限元法 |
| 收稿时间： | 2004-11-23 |
| 修稿时间： | 2005-11-18 |
Space-time finite element method for schrödinger equation and its conservation |
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| Qiong Tang,Chuan-miao Chen,Luo-hua Liu.SPACE-TIME FINITE ELEMENT METHOD FOR SCHRODINGER EQUATION AND ITS CONSERVATION[J].Applied Mathematics and Mechanics(English Edition),2006,27(3):335-340. | |
| Authors: | Qiong Tang Chuan-miao Chen Luo-hua Liu |
| Institution: | 1. Department of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P. R. China;Department of Information and Mathematics Science, Zhuzhou Institute of Technology, Zhuzhou 412008, Hunan Province, P. R. China 2. Department of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P. R. China 3. Department of Information and Mathematics Science, Zhuzhou Institute of Technology, Zhuzhou 412008, Hunan Province, P. R. China |
| Abstract: | Energy conservation of nonlinear Schrodinger ordinary differential equation was proved through using continuous finite element methods of ordinary differential equation; Energy integration conservation was proved through using space-time continuous fully discrete finite element methods and the electron nearly conservation with higher order error was obtained through using time discontinuous only space continuous finite element methods of nonlinear Schrodinger partial equation. The numerical results are in accordance with the theory. |
| Keywords: | nonlinear Schr(o)dinger equation space-time finite element method energy integration conservation |
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