A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations

被引：26
|
作者：
Zhu, Liping [2 ,3 ]
Li, Jian [1 ,4 ]
Chen, Zhangxin [1 ,2 ]
机构：
[1] Univ Calgary, Schulich Sch Engn, Dept Chem & Petr Engn, Calgary, AB T2N 1N4, Canada
[2] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China
[3] Xian Univ Architecture & Technol, Fac Sci, Xian 710054, Peoples R China
[4] Baoji Univ Arts & Sci, Dept Math, Baoji 721007, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 08期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Navier-Stokes equations; Nonconforming finite elements; Mixed finite element method; Error estimate; Numerical results; 2ND-ORDER ELLIPTIC PROBLEMS; PROJECTIONS;
D O I：
10.1016/j.cam.2010.12.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a new local stabilized nonconforming finite element method based on two local Gauss integrals for solving the stationary Navier-Stokes equations. This nonconforming method utilizes the lowest equal-order pair of mixed finite elements (i.e., NCP1-P-1). Error estimates of optimal order are obtained, and numerical results agreeing with these estimates are demonstrated. Numerical comparisons with other mixed finite element methods for solving the Navier-Stokes equations are also presented to show the better performance of the present method. (C) 2010 Elsevier B.V. All rights reserved.
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页码：2821 / 2831
页数：11
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