Discontinuous Galerkin Methods for Singularly Perturbed Problems
Johnny Guzman
Cornell University
Applied Mathetmatics
We present some existing discontinuous Galerkin methods for singularly perturbed problems. We show that layers are resolved in O(log(1/h)h) in the wind direction O(log(1/h)h^(1/2)) in the crosswind direction. We present results on L^2 and pointwise error estimates away from layers.