| Sobolev型方程高次Wilson元逼近及超收敛分析 |
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| 引用本文： | 石东洋,郝晓斌.Sobolev型方程高次Wilson元逼近及超收敛分析[J].数学季刊,2008,23(1):127-134. |
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| 作者姓名： | 石东洋 郝晓斌 |
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| 作者单位： | SHI Dong-yang（Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China）
HAO Xiao-bin（Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China） |
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| 摘 要： |
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| 关 键 词： | Sobolev type equations higher order Wilson element interpolation postprocessing technique superconvergence Sobolev 方程 高次 Wilson Element 逼近 收敛分析 Equations Type Higher Order Analysis Superconvergence interpolation postprocessing technique used global superconvergence posterior error estimate accuracy Wilson element type |
| 文章编号： | 1002-0462(2008)01-0127-08 |
| 修稿时间： | 2007年6月10日 |
Approximation and Superconvergence Analysis for a New Higher Order Wilson Element to Sobolev Type Equations |
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| SHI Dong-yang HAO Xiao-bin.Approximation and Superconvergence Analysis for a New Higher Order Wilson Element to Sobolev Type Equations[J].Chinese Quarterly Journal of Mathematics,2008,23(1):127-134. |
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| Authors: | SHI Dong-yang HAO Xiao-bin |
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| Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China |
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| Abstract: | In this paper,a new higher order Wilson element is presented,and the convergence is proved.Then the interpolation postprocessing technique is used to obtain the global superconvergence and posterior error estimate of higher accuracy of this new element for the Sobolev type equations. |
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| Keywords: | Sobolev type equations higher order Wilson element interpolation postprocessing technique superconvergence |
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