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

页码：159 / 174

页数：16

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