| 非光滑解高次矩形元导数的超收敛性 |
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| 引用本文： | 魏继东.非光滑解高次矩形元导数的超收敛性[J].衡阳师专学报,2010(6):6-8. |
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| 作者姓名： | 魏继东 |
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| 作者单位： | 衡阳师范学院数学与计算科学系,湖南衡阳421008 |
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| 基金项目： | 湖南省教育厅项目（09C172）; 衡阳师范学院博士启动项目（10B71） |
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| 摘 要： | 通过投影型插值展开,在解不光滑时（u∈H1）,定义一种新的误差阶,并利用此误差获得非光滑解高次矩形元的一个导数超收敛结果.
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| 关 键 词： | 非光滑解 矩形元 超收敛 |
The Derivative Superconvergence of Higher Degree Rectangular Finite Element with Non-smooth Solution |
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| WEI Ji-dong.The Derivative Superconvergence of Higher Degree Rectangular Finite Element with Non-smooth Solution[J].Journal of Hengyang Normal University,2010(6):6-8. |
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| Authors: | WEI Ji-dong |
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| Institution: | WEI Ji-dong(Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang Hunan 421008,China) |
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| Abstract: | For no-smooth solution（u∈H′）,we define a new kind of error order by using projection type interpolation expansion.By which we obtained a derivative superconvergence result for higher-degree rectangular finite element with nonsmooth solution. |
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| Keywords: | non-smooth solution rectangular element super-convergence |
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