The characteristic subgrid artificial viscosity stabilized finite element method for the nonstationary Navier-Stokes equations

Based on the artificial viscosity approach, a characteristic stabilized finite element method is proposed for approximating solutions to the incompressible Navier-Stokes equations in this paper. The natural combination of characteristic method and subgrid artificial viscosity stabilized finite element method retains the best features of both methods. The stability analysis and error estimates are deduced rigorously. Finally, some numerical experiments are given to demonstrate that this method is highly efficient for the nonstationary Navier-Stokes problems.