We apply the weighted-residual approach recen tly 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
Ayuso De Dios, B., Marini, L. (2009). Discontinuous Galerkin methods for advection-diffusion-reaction problems. SIAM JOURNAL ON NUMERICAL ANALYSIS, 47(2), 1391-1420 [10.1137/080719583].
Discontinuous Galerkin methods for advection-diffusion-reaction problems
Ayuso De Dios, B;
2009
Abstract
We apply the weighted-residual approach recen tly 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 methodsFile in questo prodotto:
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