Pressure projection stabilized finite element method for Stokes problem with nonlinear slip boundary conditions

In this paper, we consider the pressure projection stabilized finite element method for the Stokes problem with nonlinear slip boundary conditions whose variational formulation is the variational inequality problem of the second kind with the 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.