| Sobolev型方程混合元解的整体超收敛分析 |
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| 引用本文： | 金大永,刘棠,张书华.Sobolev型方程混合元解的整体超收敛分析[J].数学的实践与认识,2003,33(9):85-90. |
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| 作者姓名： | 金大永 刘棠 张书华 |
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| 作者单位： | 1. 河北工业大学文理学院,天津,300130
2. 天津财经学院基础部,天津,300222 |
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| 摘 要： | 本文利用积分恒等式证明了 Sobolev型方程混合元解的超逼近性质 ,对常用的 R-T元解通过插值后处理 ,得到了整体超收敛 ,并给出了后验误差估计
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| 关 键 词： | 积分恒等式 R-T元 超收敛 Sobolev型方程 |
| 修稿时间： | 2001年9月18日 |
Analysis for the Global Superconvergence of the Mixed Element Solution to Sobolev Type Equation |
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| JIN Da\|yong ,\ LIU Tang ,\ ZHANG Shu\|hua.Analysis for the Global Superconvergence of the Mixed Element Solution to Sobolev Type Equation[J].Mathematics in Practice and Theory,2003,33(9):85-90. |
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| Authors: | JIN Da\|yong \ LIU Tang \ ZHANG Shu\|hua |
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| Institution: | JIN Da\|yong 1,\ LIU Tang 2,\ ZHANG Shu\|hua 2 |
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| Abstract: | The superconvergence property of the mixed element solution to the Sobolev type equation is demonstrated based on the integral identities. For the well Known R\|T elements, via interpolation post processing, the global superconvergence is obtained and the posteriori error estimates are also derived. |
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| Keywords: | integral identity R\|T elements superconvergence Sobolev type equation |
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