A finite element method for the numerical solution of convection-dominatedanisotropic diffusion equations

The proposed method is based on an additive decomposition of the differenti al operator and the subsequent fitted discretization of the resulting compo nents. For standard situations, the derived stability and error estimates i n the energy norm qualitatively coincide with well-known estimates. In the case of small diffusion, a uniform error estimate with reduced order is obt ained. Mathematics Subject Classification (1991): 65N30, 76R05, 65N12.