| 一类Stokes方程的最小二乘混合元方法 |
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| 引用本文： | 顾海明,羊丹平,隋树林,刘新民.一类Stokes方程的最小二乘混合元方法[J].应用数学和力学,2000,21(5):501-510. |
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| 作者姓名： | 顾海明 羊丹平 隋树林 刘新民 |
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| 作者单位： | 1.青岛化工学院计算机系, 青岛 266042; |
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| 基金项目： | 国家教委博士点基金资助项目 |
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| 摘 要： | 对定常和非定常两种类型的Stokes方程建立了一类新的最小二乘混合元方法,并进行了分析,对定常的方程,采用了对u和σ的不同指标的有限元空间进行计算(LBB条件不需要),得到了最优的H1和L2模估计.对非定常的方程,采用了传统的Raviart-Thomas混合元空间,得到了最优的L2模估计.
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| 关 键 词： | 最小二乘 混合元 误差估计 |
| 收稿时间： | 1998-09-01 |
| 修稿时间： | 1998-09-01 |
Least-Squares Mixed Finite Element Method for a Class of Stokes Equation |
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| Gu Haiming,Yang Danping,Sui Shulin,Liu Xinmin.Least-Squares Mixed Finite Element Method for a Class of Stokes Equation[J].Applied Mathematics and Mechanics,2000,21(5):501-510. |
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| Authors: | Gu Haiming Yang Danping Sui Shulin Liu Xinmin |
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| Institution: | 1.Qingdao Institute of Chemical Technology, Qingdao 266042, P. R. China;2.Department of Mathematics, Shandong University, Jinan 250100, P. R. China |
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| Abstract: | A least-squares mixed finite element method was formulated for a class of Stokes equations in two dimensional domains. The steady state and the time-dependent Stokes' equations were considered. For the stationary equation, optimal L2 and H1 -error estimates are derived under the standard regularity assumption on the finite element partition(the LBB-condition is not required). For the evolutionary equation, optimal L2 estimates are derived under the conventional Raviart-Thomas spaces. |
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| Keywords: | Least squares mixed finite element method error estimates |
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