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.
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页码：1439 / 1452
页数：14
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