Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems

@article{Dios2009DiscontinuousGM,
title={Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems},
author={Blanca Ayuso de Dios and L. Donatella Marini},
journal={SIAM J. Numerical Analysis},
year={2009},
volume={47},
pages={1391-1420}
}

We apply the weighted-residual approach recently introduced in [7] to derive dis-continuous Galerkin formulations for advection-diffusion-reaction problems. We devise the basic ingredients to ensure stability and optimal error estimates in suitable norms, and propose two new methods. 1. Introduction. In recent years Discontinuous Galerkin methods have become increasingly popular, and they have been used and analyzed for various kinds of applications: see, e.g., [2] for second order elliptic… CONTINUE READING