| 各向异性网格下Wilson元的超收敛性分析 |
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| 引用本文： | 石东洋,梁慧.各向异性网格下Wilson元的超收敛性分析[J].应用数学和力学,2007,28(1):107-113. |
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| 作者姓名： | 石东洋 梁慧 |
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| 作者单位： | 1. 郑州大学,数学系,郑州,450052
2. 哈尔滨工业大学,数学系,哈尔滨,150001 |
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| 摘 要： | 在各向异性网格下研究了二阶椭圆边值问题的Wilson有限元方法,利用单元构造的特殊性和一些新的技巧得到相应的超逼近和超收敛结果.数值算例的结果与理论分析是相吻合的.
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| 关 键 词： | 各向异性网格 Wilson元 超逼近 超收敛 |
| 文章编号： | 1000-0887（2007）01-0107-07 |
| 修稿时间： | 2005-03-01 |
Superconvergence Analysis of Wilson's Element on Anisotropic Meshes |
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| SHI Dong-yang,LIANG Hui.Superconvergence Analysis of Wilson''''s Element on Anisotropic Meshes[J].Applied Mathematics and Mechanics,2007,28(1):107-113. |
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| Authors: | SHI Dong-yang LIANG Hui |
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| Institution: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, P. R. China; 2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China |
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| Abstract: | The Wilson finite element method is considered to solve a class of two-dimensional second order elliptic boundary value problems.By using the particular structure of the element and some new techniques,the superclose and global superconvergence on anisotropic meshes are obtained.Numerical example is also given to confirm our theoretical analysis. |
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| Keywords: | anisotropic meshes Wilson's element superclose superconvergence |
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