A new local stabilized nonconforming finite element method for the Stokes equations (Q938328)

The authors propose and study a new local stabilized nonconforming finite method based on two local Gauss integrations for the two-dimensional Stokes equation. The propose method uses the lowest equal-order pair of mixed finite elements. The authors prove the stability of this method and obtain optimal-order error estimates. In addition, they give numerical experiments to confirm the theoretical analysis, and compare then with some classical, closely related mixed finite element pairs. The results of this proposed method show its better performance than others.