In this paper, we develop and analyze a mixed finite element method for
the Stokes flow. This method is based on a stress-velocity-vorticity formulation. A
new discretization is proposed: the stress is approximated using the Raviart-Thomas
elements, the velocity and the vorticity by piecewise discontinuous polynomials. It
is shown that if the orders of these spaces are properly chosen then the advocated
method is stable. We derive error estimates for the Stokes problem, showing optimal
accuracy for both the velocity and vorticity.