A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS

被引：0

作者：

Shi Dongyang ^{[1
]}

Ren Jincheng ^{[2
]}

Gong Wei ^{[3
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

[2] Shangqiu Normal Univ, Dept Math, Shangqiu 476000, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 02期

关键词：

Stationary Navier-Stokes equations; nonconforming mixed finite element scheme; optimal order error estimates; PLANAR LINEAR ELASTICITY; SUPERCONVERGENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, a new stable nonconforming mixed finite element scheme is proposed for the stationary Navier-Stokes equations, in which a new low order Crouzeix-Raviart type nonconforming rectangular element is taken for approximating space for the velocity and the piecewise constant element for the pressure. The optimal order error estimates for the approximation of both the velocity and the pressure in L(2)-norm are established, as well as one in broken H(1)-norm for the velocity. Numerical experiments are given which are consistent with our theoretical analysis.

引用

页码：367 / 382

页数：16

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