一类Stokes方程的最小二乘混合元方法

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

1.
青岛化工学院计算机系, 青岛 266042;
2.
山东大学数学院, 济南 250100

基金项目: 国家教委博士点基金资助项目

详细信息

作者简介:
顾海明(1967~ ),男,博士,副教授.

中图分类号: O241.82
计量
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- 被引次数: 0
出版历程
- 收稿日期: 1998-09-01
- 修回日期: 2000-01-06
- 刊出日期: 2000-05-15

Least-Squares Mixed Finite Element Method for a Class of Stokes Equation

1.
Qingdao Institute of Chemical Technology, Qingdao 266042, P. R. China;
2.
Department of Mathematics, Shandong University, Jinan 250100, P. R. China

摘要

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.
- 最小二乘 /
- 混合元 /
- 误差估计
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.
- Least squares /
- mixed finite element method /
- error estimates

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参考文献(11)

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