Two-level stabilized method based on three corrections for the stationary Navier–Stokes equations

The two-level quadratic equal-order stabilized finite element method for the stationary Navier–Stokes equations based on local Gauss integration is considered in this paper. The method includes three corrections: Stokes correction, Newton correction and Oseen correction. Moreover, the stability and convergence of the present method are deduced. Finally, numerical tests confirm the theoretical results of the method.