Mixed finite volume methods

We present in this paper a new Finite Volume Methods for elliptic equation, based on a mixed primal-dual formulation. In this approach the uxes are introduced as unknowns of the problem and we use two dual meshes. This method is called `mixed nite volume method (MFV)ʹ. We recall rst the abstract theory of generalized mixed formulation and then we develop error estimates in the case where two dual rectangular meshes or two dual triangular meshes are used. Finally, we present some numerical results and we calculate for each example the L2-error relative to the primal and dual unknowns.