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.

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