Superconvergence of a nonconforming finite element method for the stationary Navier-Stokes equations

被引：0
作者：
Huang, Pengzhan [1 ]
Ma, Xiaoling [1 ]
Zhang, Tong [2 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China
来源：
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2016年 / 59卷 / 02期
关键词：
Superconvergence; Navier-Stokes equations; L-2-projection; Nonconforming finite element; inf-sup condition;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Superconvergence results are established for a nonconforming finite element approximation of the stationary Navier-Stokes equations by a L-2-projection method. This nonconforming finite element method adopts the Crouzeix-Raviart element for the velocity and the continuous piecewise linear element for the pressure. The current paper complements the work of Li and Chen (2008) [6], which presents this pair of mixed finite element method for the Stokes equations. Numerical results are shown to support the developed theory analysis.
引用
收藏
页码：159 / 174
页数：16
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