Numerical analysis of a variational-hemivariational inequality governed by the Stokes equations.

A variational-hemivariational inequality that describes stationary Stokes equations for the incompressible fluid with mixed nonlinear boundary conditions is studied. We discuss the equivalence of different weak formulations together with the results on unique solvability. The mixed finite element method of P1b/P1 pair is used to discretize the inequality problem and error bounds are derived. Numerical simulations based on Uzawa method are provided to confirm the predicted results of convergence order. [ABSTRACT FROM AUTHOR]