Finite Superelement Method in 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 comparison with Residual-free Bubbles method colesed to considered one was carried out.
Mathematical problems and theory of numerical methods