Piecewise divergence-free discontinuous Galerkin methods for Stokes flow
✍ Scribed by Hansbo, Peter ;Larson, Mats G.
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 160 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.975
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The foundations of a new discontinuous Galerkin method for simulating compressible viscous flows with shocks on standard unstructured grids are presented in this paper. The new method is based on a discontinuous Galerkin formulation both for the advective and the diffusive contributions. High-order
## 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 An interior penalty method and a compact discontinuous Galerkin method are proposed and compared for the solution of the steady incompressible Navier–Stokes equations. Both compact formulations can be easily applied using high‐order piecewise divergence‐free approximations, leading to t