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Stokes问题的一个非协调有限元逼近
A Nonconforming Finite Element Approximation for Stokes Problem
【摘要】 用有限元方法分析Stokes问题难点在于单元必须满足离散的Babuska-Brezzi条件,在文中构造了一个非协调矩形有限元,证明该元对Stokes问题满足离散B-B条件,并且对速度和压力具有二阶收敛性。
【Abstract】 The main difficulty in the analysis for the Stokes problem is to prove that the discrete B-B condition is valid.In this paper,a nonconforming rectangular finite element is presented,which satisfies the discrete BB condition for the Stokes problem and has two order convergence rate for the velocity and pressure.
【关键词】 Stokes问题;
非协调有限元;
B-B条件;
【Key words】 Stokes problem; nonconforming finite element; B-B condition;
【Key words】 Stokes problem; nonconforming finite element; B-B condition;
【基金】 国家自然科学基金资助项目(10771198,10590353)
- 【文献出处】 广西师范大学学报(自然科学版) ,Journal of Guangxi Normal University(Natural Science Edition) , 编辑部邮箱 ,2008年02期
- 【分类号】O241.82
- 【被引频次】6
- 【下载频次】100