| 积分微分方程的一个高精度导数恢复公式 |
| |
| 引用本文： | 赵继超,张铁.积分微分方程的一个高精度导数恢复公式[J].高等学校计算数学学报,2004,26(1):81-90. |
| |
| 作者姓名： | 赵继超 张铁 |
| |
| 作者单位： | 东北大学数学系,沈阳 110004;东北大学数学系,沈阳 110004 |
| |
| 摘 要： | A highly accurate derivative recovery formula is presented for the korder finite element approximations to integro-differential equations. This formula possesses O(h^k l) order of superconvergence on the whole domain in L∞ norm and O(h^2k) order of ultraconvergence at the mesh points, respectively, and the same type of results are demonstrated for the semi-discrete finite element approximates solutions of Sobolev equations.
|
| 关 键 词： | 积分微分方程 导数恢复公式 误差估计 Sobolev方程 半离散有限元近似 |
A HIGHLY ACCURATE DERIVATIVE RECOVERY FORMULA TO INTEGRO-DIFFERENTIAL EQUATIONS |
| |
| Zhao Jichao Zhang Tie.A HIGHLY ACCURATE DERIVATIVE RECOVERY FORMULA TO INTEGRO-DIFFERENTIAL EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities,2004,26(1):81-90. |
| |
| Authors: | Zhao Jichao Zhang Tie |
| |
| Abstract: | |
| |
| Keywords: | finite element derivative recovery ultraconvergence superconver-gence integro-differential equations Sobolev equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
