| 一个混合元的最优最大模估计及超收敛估计 |
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| 引用本文： | 黄建国. 一个混合元的最优最大模估计及超收敛估计[J]. 计算数学, 1991, 13(3): 274-279 |
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| 作者姓名： | 黄建国 |
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| 作者单位： | 复旦大学数学所 |
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| 摘 要： | 本文用[4]的混合元法求解二阶椭圆型方程误差的最优最大模估计.讨论的方法适用于Raviart-Thomas元,从而改进了[16],[17]的结果,达到最优.此外,还得到一个超收敛结果,并且对[1],[4]中提出的修正过程进行最大模分析,结果都是最优的.
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| 关 键 词： | 混合元 椭圆型方程 误差估计 |
OPTIMAL MAXIMUM NORM ESTIMATES AND SUPERCONVERGENCE ESTIMATES FOR A CLASS OF MIXED ELEMENT METHOD |
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| Affiliation: | Huang Jian-guo Institute of Mathematics, Fudan University |
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| Abstract: | Some optimal maximum norm estimates are obtained for the mixed element method intro-duced by F. Brezzi et. al. for solving second-order elliptic Problems. By a similar technique,the optimal maximum norm results are available for Raviart-Thomas element. A superconver-gence result in tbe sense of maximum norm is also achieved. At last, the correction processmentioned in [4], [1] is analyzed. |
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