A new second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations

被引：12

作者：

Shi, Dongyang ^{[1
]}

Ren, Jincheng ^{[2
]}

Hao, Xiaobin ^{[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] Henan Inst Engn, Dept Math & Phys Sci, Zhengzhou 451191, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 207卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Stationary Stokes and Navier-Stokes equations; Nonconforming mixed finite element scheme; Optimal error estimates;

D O I：

10.1016/j.amc.2008.10.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new stable nonconforming mixed finite element scheme with second order accuracy is proposed for the stationary Stokes and Navier-Stokes equations, in which, a new nonconforming rectangular element is taken for approximating space the velocity and the bilinear element for the pressure. The optimal error estimates for the approximation of both the velocity and the pressure in L-2-norm are established, as well as one in a broken H-1-norm for the velocity. Numerical experiments are given which are consistent with our theoretical analysis. (C) 2008 Published by Elsevier Inc.

引用

页码：462 / 477

页数：16

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