| Raviart-Thomas混合元的超收敛 |
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| 引用本文： | 雷俊丽,林甲富. Raviart-Thomas混合元的超收敛[J]. 应用数学, 2006, 19(1): 30-34 |
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| 作者姓名： | 雷俊丽 林甲富 |
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| 作者单位： | 1. 湖北经济学院经济信息系,湖北,武汉,430205
2. 北京理工大学应用数学系,北京,100081 |
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| 摘 要： | 考虑二阶椭圆方程Dirichlet边值问题在正则矩形网格上k阶RaviartThomas混合有限元的超收敛.对有限元解经插值处理后,与通常的有限元最优误差估计相比,收敛速度提高了两阶.
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| 关 键 词： | 二阶椭圆方程 Dirichlet边值问题 Raviart-Thomas元 混合有限元 超收敛 后处理 |
| 文章编号： | 1001-9847(2006)01-0030-05 |
| 收稿时间： | 2004-11-02 |
| 修稿时间： | 2004-11-02 |
Superconvergence for the Raviart-Thomas Mixed Finite Element |
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| LEI Jun-li,LIN Jia-fu. Superconvergence for the Raviart-Thomas Mixed Finite Element[J]. Mathematica Applicata, 2006, 19(1): 30-34 |
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| Authors: | LEI Jun-li LIN Jia-fu |
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| Affiliation: | 1. Department of Economics and Information, Hubei University of Economics, Wuhan 430205,China;2. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081 ,China |
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| Abstract: | Superconvergence of the k -th Raviart-Thomas mixed finite element for the second order Dirichlet boundary value problem is considered on the regular rectangular meshes.The convergence rate can be increased by two orders compared with the ordinary optimal error estimation by the interpolated postprocessing technique. |
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| Keywords: | Second order elliptic equation Dirichlet boundary value problem Raviart-Thomas element Mixed finite element Superconvergence Postprocessing |
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