A nonconforming finite element method for convection-diffusion problems on polygonal domains

1993/94 we developed an exponentially fitted nonconforming Galerkin finite element method for convection-diffusion problems with dominating convection. On rectangular domains, the method was analytically proved and numerically confirmed to be uniformly convergent (with respect to the perturbation parameter) in an energy-norm if only exponential layers occur. It is possible to extend the method to more general two-dimensional domains. We present numerical tests and a comparsion to other methods.