Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations

被引：30

作者：

Huang, Pengzhan ^{[1
]}

Feng, Xinlong ^{[1
,2
]}

Liu, Demin ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2012年 / 62卷 / 08期

基金：

中国博士后科学基金;

关键词：

Quadratic equal-order stabilized method; Navier-Stokes equations; Local Gauss integration; Two-level strategy; Error estimate; FINITE-ELEMENT-METHOD; PRESSURE PROJECTION; FLOW; REGULARITY;

D O I：

10.1016/j.apnum.2012.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The two-level quadratic equal-order stabilized finite element method for the stationary Navier-Stokes equations based on local Gauss integration is considered in this paper. The method includes three corrections: Stokes correction, Newton correction and Oseen correction. Moreover, the stability and convergence of the present method are deduced. Finally, numerical tests confirm the theoretical results of the method. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：988 / 1001

页数：14

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