Application of finite superelement method for solving convection-diffusion problems

The finite superelement method is used to solve convection-diffusion problems. The particular attention is paid for singularly perturbed problems in convective-dominated case. It corresponds to existance of thin interior and boundary layers in the solution; their description is difficult for numerical analysis. The implemented approach belongs to a class of stabilized Galerkin methods, that have been widely used for last years. The results of numerical experiments and comparison with Galerkin/Least Squares are presented.