Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip boundary conditions

摘要

In this paper, we consider the pressure projection stabilized finite element method for the Navier-Stokes equation with nonlinear slip boundary conditions whose variational formulation is the variational inequality problem of the second kind with Navier-Stokes operator. The H~1 and L~2 error estimates for the velocity and the L~2 error estimate for the pressure are obtained. Finally, the numerical results are displayed to verify the theoretical analysis.