Nonconforming local projection stabilization for generalized Oseen equations

Abstract

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 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.