| 各向异性网格下具有积分型边界条件的积分微分方程的超收敛性分析 |
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| 引用本文： | 石东洋,李秋红. 各向异性网格下具有积分型边界条件的积分微分方程的超收敛性分析[J]. 信阳师范学院学报(自然科学版), 2006, 19(4): 392-394,410 |
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| 作者姓名： | 石东洋 李秋红 |
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| 作者单位： | 1. 郑州大学,河南,郑州,450052
2. 平顶山工学院,河南,平顶山,467000 |
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| 基金项目： | 国家自然科学基金项目(10371113) |
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| 摘 要： | 讨论了各向异性网格下线性三角形有限元对具有积分型边界条件的积分微分方程的逼近问题.通过引入新的技巧与方法,得到了相应的超逼近性质和超收敛性结果,从而进一步拓宽了有限元的应用范围.
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| 关 键 词： | 各向异性网格 线性三角形元 积分型边界条件 积分微分方程 超逼近性和超收敛 |
| 文章编号： | 1003-0972（2006）04-0392-03 |
| 收稿时间： | 2006-03-15 |
| 修稿时间： | 2006-03-15 |
The Superconvergence Analysis of Interracial and Differential Equation with Interracial Boundary Condition on Anisotropic Meshes |
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| SHI Dong-yang,LI Qiu-hong. The Superconvergence Analysis of Interracial and Differential Equation with Interracial Boundary Condition on Anisotropic Meshes[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2006, 19(4): 392-394,410 |
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| Authors: | SHI Dong-yang LI Qiu-hong |
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| Affiliation: | 1. Zhengzhou University, Zhengzhou 450052, China ;2. Pingdingshan Institute of Technology, Pingdingshan 467000, China |
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| Abstract: | Linear triangular element is considered to solve interracial and differential equation with interracial boundary condition on special restricted anisotropic meshes in 2D.The superclose property and superconvergence are obtained by a set of novel techniques.Thus the applicable scope of finite element method is extended. |
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| Keywords: | anisotropic meshes linear triangular element interracial boundary condition interracial and differential equation superclose property superconvergence |
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