| 各向异性网格下Stokes问题Bernardi-Raugel混合元近似的超收敛 |
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| 引用本文： | 朱圣芝.各向异性网格下Stokes问题Bernardi-Raugel混合元近似的超收敛[J].北方交通大学学报,2011(6):124-128,134. |
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| 作者姓名： | 朱圣芝 |
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| 作者单位： | 北京交通大学理学院,北京100044 |
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| 基金项目： | 中央高校基本科研业务专项基金资助（2011JBM302） |
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| 摘 要： | 给出求解Stokes问题Bernardi—Raugel混合元近似解在各向异性网格下的超逼近与超收敛．在H1范数下，速度函数u的近似解经插值后处理后，与通常有限元误差估计相比，其收敛于精确解的速度提高了一阶．
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| 关 键 词： | Stokes问题 混合元 超收敛 后处理 各向异性 |
Superconvergence of Bernardi-Raugei mixed finite element approximation for Stokes problem on anisotropic meshes |
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| ZHU Shengzhi.Superconvergence of Bernardi-Raugei mixed finite element approximation for Stokes problem on anisotropic meshes[J].Journal of Northern Jiaotong University,2011(6):124-128,134. |
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| Authors: | ZHU Shengzhi |
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| Institution: | ZHU Shengzhi (School of Science, Beijing Jiaotong University, Beijing 100044, China) |
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| Abstract: | Superclose and superconvergence of the Bernardi-Raugel mixed finite element approximation for the Stokes problem are obtained on anisotropic meshes. Comparing with the general error estimation of the finite element, the convergence rate for velocity u can be increased by one order by the interpolation postprocessing in H1 -norm. |
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| Keywords: | Stokes problem mixed finite element superconvergenee postprocession anisotropy |
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