An iterative algorithm for the finite element approximation to convection-diffusion problems

An iterative algorithm for steady convection-diffusion is presented, which avoids unsymmetric matrices by means of an equivalent mixed formulation. Upwind is introduced by adding a balancing dissipation in the flow direction, but there is no dependence of the global matrix on the velocity field. Convergence is shown in habitual test cases. Advantages of its use in coupled calculation of more complex problems are discussed. (Author)