Abstract
As a preliminary step of large-scale thermal convection analysis, we study effective numerical methods for stationary incompressible nonlinear flow problems. In this paper, we are concerned with the stationary Navier-Stokes equations. To solve the nonlinear equations, the Newton method is used. To compute the problem at each step of the nonlinear iterations, a stabilization technique is introduced. Numerical results show that stabilized technique with the mixed interpolations make convergences fast.