Nonconforming local projection stabilization for generalized Oseen equations

• Published in: Applied mathematics and mechanics Vol. 31; no. 11; pp. 1439 - 1452
• Main Author: 白艳红 冯民富 王川龙
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.11.2010; Department of Mathematics,Taiyuan Teachers College,Taiyuan 030012,P.R.China%Department of Mathematics,Sichuan University,Chengdu 610064,P.R.China
• Subjects: Applications of Mathematics; Approximation; Bubbles; Classical Mechanics; Convection; Fluid- and Aerodynamics; Handles; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Projection; Stabilization; Crouzeix-Raviart element; 65N15; generalized Oseen equation; local projection stabilization; O242.21; 65N30
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-010-1374-x

A new method of nonconforming local projection stabilization for the gen- eralized 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 ≥ 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.