We propose and study a posteriori error estimates for convection-diffusion-reaction problems with inhomogeneous and anisotropic diffusion approximated by weighted interior-penalty discontinuous Galerkin methods. Our twofold objective is to derive estimates without undetermined constants and to analy
A robust a-posteriori error estimator for discontinuous Galerkin methods for convection–diffusion equations
✍ Scribed by Dominik Schötzau; Liang Zhu
- Book ID
- 108057526
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 761 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0168-9274
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📜 SIMILAR VOLUMES
In this paper we present a residual-based a posteriori error estimate of a natural mesh dependent energy norm of the error in a family of discontinuous Galerkin approximations of elliptic problems. The theory is developed for an elliptic model problem in two and three spatial dimensions and general
A posterior% error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [l]. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. Oneand two-dimensiona