DISCONTINUOUS GALERKIN METHODS FOR ADVECTION-DIFFUSION-REACTION PROBLEMS

被引：113

作者：

Ayuso, Blanca ^{[1
]}

Marini, L. Donatella ^{[2
,3
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

[3] CNR, IMATI, I-27100 Pavia, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2009年 / 47卷 / 02期

关键词：

discontinuous Galerkin; advection-diffusion-reaction; inf-sup condition; FINITE-ELEMENT METHODS; FRIEDRICHS SYSTEMS; INTERIOR PENALTY; CONVERGENCE; TRANSPORT;

D O I：

10.1137/080719583

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1391 / 1420

页数：30

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