| Stokes型积分-微分方程Bernadi-Raugel混合元的超收敛分析 |
| |
| 引用本文： | 牛裕琪,石东洋. Stokes型积分-微分方程Bernadi-Raugel混合元的超收敛分析[J]. 河南师范大学学报(自然科学版), 2011, 39(4): 6-9 |
| |
| 作者姓名： | 牛裕琪 石东洋 |
| |
| 作者单位： | 1. 许昌学院数学与统计学院,河南许昌,461000
2. 郑州大学数学系,郑州,450052 |
| |
| 基金项目： | 国家自然科学基金(10671184); 河南省自然科学基金(072300440190); 河南省教育厅自然科学基金(2007110032;2010A110018) |
| |
| 摘 要： | 研究Bernadi-Raugel混合元对Stokes型积分-微分方程的有限元方法.首先利用积分恒等式技巧给出了关于压力P在L2-模意义下O(h2)阶估计,这比以往文献中的收敛结果高一阶.同时,通过构造适当的插值后处理算子得到了整体超收敛结果.
|
| 关 键 词： | Stokes型积分-微分方程 Bernadi-Raugel混合元 插值后处理 超逼近和超收敛 |
Superconvergence Analysis of Berandi-Raugel Mixed Element Solution to Stokes Type Integro-differential Equations |
| |
| NIU Yu-qi,SHI Dong-yang. Superconvergence Analysis of Berandi-Raugel Mixed Element Solution to Stokes Type Integro-differential Equations[J]. Journal of Henan Normal University(Natural Science), 2011, 39(4): 6-9 |
| |
| Authors: | NIU Yu-qi SHI Dong-yang |
| |
| Affiliation: | NIU Yu-qi1,SHI Dong-yang2(1.School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China,2.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
| |
| Abstract: | The Berandi-Raugel mixed finite element method of the Stokes type integro-differential equations is discussed.The superclose property and global superconvergence of order O(h2) in L2-norm are derived for the pressure respectively based on the integral identity and interpolation postprocessing techniques which is one order higher than convergence results obtained in the preious literature. |
| |
| Keywords: | Stokes type integro-differential equations Berandi-Raugel mixed finite element postprocessing supercloseness and superconvergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
