Energy Normshape A PosterioriError Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem
✍ Scribed by Houston Paul; Dominik Schötzau; Thomas P. Wihler
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 489 KB
- Volume
- 22-23
- Category
- Article
- ISSN
- 0885-7474
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## Abstract We develop the energy norm __a posteriori__ error analysis of exactly divergence‐free discontinuous RT~__k__~/__Q__~__k__~ Galerkin methods for the incompressible Navier–Stokes equations with small data. We derive upper and local lower bounds for the velocity–pressure error measured in
## Abstract In this article, we develop functional a posteriori error estimates for discontinuous Galerkin (DG) approximations of elliptic boundary‐value problems. These estimates are based on a certain projection of DG approximations to the respective energy space and functional a posteriori estim