  We consider implementational aspects of the mixed finite element method for a
special class of nonlinear problems. We establish the equivalence of the
hybridized formulation of the mixed finite element method to a nonconforming
finite element method with augmented Crouzeix-Raviart ansatz space. We discuss
the reduction of unknowns by static condensation and propose Newton's method
for the solution of local and global systems. Finally, we show, how such a
nonlinear problem arises from the mixed formulation of Darcy-Forchheimer flow
in porous media.
