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 posteriori error estimation for a new stabilized discontinuous Galerkin method
β Scribed by A. Romkes; S. Prudhomme; J.T. Oden
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 413 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
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-dimensional numerical experiments are shown for a reaction-diffusion type model problem.
π SIMILAR VOLUMES
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## Abstract In this article, we develop functional a posteriori error estimates for discontinuous Galerkin (DG) approximations of elliptic boundaryβvalue problems. These estimates are based on a certain projection of DG approximations to the respective energy space and functional a posteriori estim