Discontinuous Galerkin Finite Element Analysis of a Thermal coupling problem

. In this work we use mixed formulations, based on the Raviart-Thomas (RTH) methods, considering the weak (cid:29)ow form between the elements of the (cid:28)nite element mesh. The thermal problem analyzed is an elliptical nonlinear problem. We propose a analysis, of model, considering the two elliptic coupled equations, in the mixed form and show numerical results which con(cid:28)rm optimal convergence rates for the (cid:29)ows in H ( div ; Ω) and scalar variables in L 2 (Ω) .