| A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM |
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| 作者姓名： | Dong-yang Shi Yi-ran Zhang |
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| 作者单位： | [1]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China [2]School of Mathematical Science, Peking University, Beijing 100871, China |
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| 基金项目： | This research is supported by the National Science Foundation of China（No.10371113）.The authors would like to thank the anonymous referees for their helpful suggestions. |
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| 摘 要： |
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| 关 键 词： | Stokes问题 非一致性有限元 各向异性 移动格子 误差估计 |
| 收稿时间： | 2004-02-17 |
| 修稿时间： | 2004-02-172005-12-07 |
A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM |
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| Dong-yang Shi Yi-ran Zhang.A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM[J].Journal of Computational Mathematics,2006,24(5):561-578. |
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| Abstract: | This paper is devoted to the five parameters nonconforming finite element schemes with moving grids for velocity-pressure mixed formulations of the nonstationary Stokes problem in 2-D. We show that this element has anisotropic behavior and derive anisotropic error estimations in some certain norms of the velocity and the pressure based on some novel techniques. Especially through careful analysis we get an interesting result on consistency error estimation, which has never been seen for mixed finite element methods in the previously literatures. |
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| Keywords: | Stokes problem Nonconforming finite element Anisotropy Moving grids Error estimate |
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