In this paper we apply the recently developed mimetic discretization method
[44] to the mixed formulation of the Stokes problem in terms of the
vorticity-velocity-pressure formulation. The mimetic discretization presented
in this paper and in [44] is a higher-order method for curvilinear
quadrilaterals. It relies on the language of differential $k$-forms,
$k$-cochains as its discrete counterpart, and the relations between them in
terms of the mimetic operators: reduction, reconstruction and projection. The
reconstruction consists of a mimetic spectral element method.