A unifying theory of a posteriori error control for discontinuous Galerkin FEM
โ Scribed by Carsten Carstensen; Thirupathi Gudi; Max Jensen
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 243 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
๐ 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
We analyze the spatial discretization errors associated with solutions of one-dimensional hyperbolic conservation laws by discontinuous Galerkin methods (DGMs) in space. We show that the leading term of the spatial discretization error with piecewise polynomial approximations of degree p is proporti