| Stokes问题各向异性网格Q2-P1混合元超收敛分析 |
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| 引用本文： | 石东洋,任金城.Stokes问题各向异性网格Q2-P1混合元超收敛分析[J].数学研究,2008,41(2):142-150. |
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| 作者姓名： | 石东洋 任金城 |
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| 作者单位： | 郑州大学数学系,河南,郑州,450052 |
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| 基金项目： | 国家自然科学基金
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河南省高校创新人才培养项目 |
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| 摘 要： | 讨论Stokes问题在各向异性冈格下的Q2-P1混合有限元方法，利用积分恒等式技巧得到了与传统方法相同的超逼近性质，同时基于插值后处理的技巧，构造了速度和压力的一对插值后处理算子，并且前者具有备向异性特征，从而导出了整体超收敛结果．
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| 关 键 词： | Stokes问题 混合元 超收敛 各向异性网格 后处理技术 |
Superconvergence Analysis of Q2-P1 Mixed Finite Element Method for Stokes Problem on Anisotropic Meshes |
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| Shi Dongyang,Ren Jincheng.Superconvergence Analysis of Q2-P1 Mixed Finite Element Method for Stokes Problem on Anisotropic Meshes[J].Journal of Mathematical Study,2008,41(2):142-150. |
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| Authors: | Shi Dongyang Ren Jincheng |
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| Institution: | Shi Dongyang Ren Jincheng ( Department of Mathematics, Zhengzhou University, Zhengzhou Henan 4500521) |
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| Abstract: | Q2 - P1 mixed finite element method for Stokes problem on anisotropic meshes is discussed. the same superelose properties as the traditional methods are derived through integral identity technique. Furhermore, based on the interpolated postproeessing technique, a pair of postprocessing operator for velocity and pressure is constructed. And show that the former has an anisotropic property, then the global supereonvergenee is obtained. |
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| Keywords: | Stokes problem mixed fiuite element superconvergence anisotropic meshes postprocessing technique |
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