  This work deals with the a posteriori error estimates for the
Darcy-Forchheimer problem. We introduce the corresponding variational
formulation and discretize it by using the finite-element method. A posteriori
error estimate with two types of computable error indicators is showed. The
first one is linked to the linearization and the second one to the
discretization. Finally, numerical computations are performed to show the
effectiveness of the error indicators.
