| 抛物型积分-微分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.抛物型积分-微分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(10):72-77. |
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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抛物型积分 -微分方程混合元解的超逼近性质 ,对常用 R- T元解通过插值后处理 ,得到整体超收敛 ,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 积分-微分方程 |
| 修稿时间： | 2001年9月18日 |
Analysis for the Global Superconvergence of the Mixed Element Solution to Parabolic Integro Differential Equation |
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| JIN Da-yong ,\ LIU Tang ,\ ZHANG Shu-hua.Analysis for the Global Superconvergence of the Mixed Element Solution to Parabolic Integro Differential Equation[J].Mathematics in Practice and Theory,2003,33(10):72-77. |
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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 el em ent solution to parabolic integro-differential equation is demonstrated based o n the integral identities. For the well Known R-T elements, via interpolation p ost 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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