| Sobolev方程各向异性矩形非协调有限元分析 |
| |
| 引用本文： | 石东洋,王海红,郭城.Sobolev方程各向异性矩形非协调有限元分析[J].应用数学和力学,2008,29(9):1089-1100. |
| |
| 作者姓名： | 石东洋 王海红 郭城 |
| |
| 作者单位： | 郑州大学 数学系,郑州 450052 |
| |
| 摘 要： | 研究了Sobolev方程的各向异性矩形非协调有限元方法．在半离散和全离散格式下,得到了与传统协调有限元方法相同的最优误差估计和超逼近性质．进一步地利用插值后处理技术得到了整体超收敛结果．最后的数值结果表明了理论分析的正确性．
|
| 关 键 词： | 非协调元 各向异性 Sobolev方程 误差估计 超收敛 |
| 收稿时间： | 2008-01-18 |
Anisotropic Rectangular Nonconforming Finite Element Analysis for Sobolev Equations |
| |
| SHI Dong-yang,WANG Hai-hong,GUO Cheng.Anisotropic Rectangular Nonconforming Finite Element Analysis for Sobolev Equations[J].Applied Mathematics and Mechanics,2008,29(9):1089-1100. |
| |
| Authors: | SHI Dong-yang WANG Hai-hong GUO Cheng |
| |
| Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China |
| |
| Abstract: | The anisotropic rectangular nonconforming finite element method to Sobolev equations is discussed under semi-discrete and full discrete schemes, the corresponding optimal convergence error estimates and superclose property are derived, which are the same as the traditional conforming finite elements. Furthermore, the global superconvergence is obtained through post-processing technique. Finally, the numerical results illustrate the validity of our theoretical analysis. |
| |
| Keywords: | |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
|
