Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems

Authors:
Blanca Ayuso;L. Donatella Marini
Affiliations:
blanca.ayuso@uam.es;marini@imati.cnr.it
Venue:
SIAM Journal on Numerical Analysis
Year:
2009

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Abstract

We apply the weighted-residual approach recently introduced in [F. Brezzi et al., Comput. Methods Appl. Mech. Engrg., 195 (2006), pp. 3293-3310] to derive discontinuous 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.