Nonconforming local projection stabilization for generalized Oseen equations

被引：3

作者：

Bai, Yan-hong ^{[1
]}

Feng, Min-fu ^{[2
]}

Wang, Chuan-long ^{[1
]}

机构：

[1] Taiyuan Teachers Coll, Dept Math, Taiyuan 030012, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2010年 / 31卷 / 11期

基金：

中国国家自然科学基金;

关键词：

generalized Oseen equation; local projection stabilization; Crouzeix-Raviart element; FINITE-ELEMENT-METHOD; STOKES; FLOWS;

D O I：

10.1007/s10483-010-1374-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new method of nonconforming local projection stabilization for the generalized Oseen equations is proposed by a nonconforming inf-sup stable element pair for approximating the velocity and the pressure. The method has several attractive features. It adds a local projection term only on the sub-scale (H a (c) 3/4 h). The stabilized term is simple compared with the residual-free bubble element method. The method can handle the influence of strong convection. The numerical results agree with the theoretical expectations very well.

引用

页码：1439 / 1452

页数：14

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