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 ow form between the elements of the 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 conrm optimal convergence rates for the ows in H(div; Ω) and scalar variables in L 2 (Ω).