| 抛物问题的变网格各向异性有限元方法 |
| |
| 引用本文： | 王健. 抛物问题的变网格各向异性有限元方法[J]. 安阳工学院学报, 2005, 0(3): 45-47 |
| |
| 作者姓名： | 王健 |
| |
| 作者单位： | 郑州大学数学系,河南,郑州,450052;安阳师范学院数学系,河南,安阳,455000 |
| |
| 摘 要： | 传统有限元方法要求对区域剖分满足正则性条件或拟一致条件.对一类抛物问题,可通过利用各向异性线性三角形元,绕开区域剖分中正则性或拟一致条件的限制,结合变网格思想,导出全离散的线性三角形有限元格式,得到相应的最优误差估计.
|
| 关 键 词： | 抛物问题 各向异性 误差估计 |
| 文章编号： | 1673-2928（2005）03-0045-03 |
| 收稿时间： | 2005-03-01 |
| 修稿时间： | 2005-03-01 |
Anisotropic Finite Element Method With Moving Grid for Parabolic Problem |
| |
| WANG Jian. Anisotropic Finite Element Method With Moving Grid for Parabolic Problem[J]. Journal of Anyang Institute of Technology, 2005, 0(3): 45-47 |
| |
| Authors: | WANG Jian |
| |
| Abstract: | The classical finite element method needs the meshes of triangulation satisfying the regular or quasi-uniform assumption. By using anisotropic finite element, a class of parabolic problem is studied without the regular or quasi-uniform assumption on meshes. At the same time, by combining the moving grid techniques, anisotropic element approximate scheme of the linear triangle are given, and the optimal error estimates are obtained. |
| |
| Keywords: | parabolic problem anisotropic error estimates |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
