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
Energy norm a posteriori error estimates for discontinuous Galerkin approximations of the linear elasticity problem
โ Scribed by Peter Hansbo; Mats G. Larson
- Book ID
- 113546142
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 601 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0045-7825
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๐ SIMILAR VOLUMES
## Abstract In this article, we develop functional a posteriori error estimates for discontinuous Galerkin (DG) approximations of elliptic boundaryโvalue problems. These estimates are based on a certain projection of DG approximations to the respective energy space and functional a posteriori estim
## Abstract We develop the energy norm __a posteriori__ error analysis of exactly divergenceโfree discontinuous RT~__k__~/__Q__~__k__~ Galerkin methods for the incompressible NavierโStokes equations with small data. We derive upper and local lower bounds for the velocityโpressure error measured in