Adaptive discretization of stationary and incompressible Navier–Stokes equations by stabilized finite element methods
✍ Scribed by Stefano
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 717 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
We have derived a residual-based a posteriori error estimator for a stabilized ®nite element discretization of the stationary incompressible Navier±Stokes equations with general boundary conditions. An adaptive algorithm based on this error estimator is discussed and tested on some analytical and physical problems. When possible we study precisely the behaviour of the effectivity index.
📜 SIMILAR VOLUMES
This paper proposes and analyzes a multi-level stabilized finite element method for the two-dimensional stationary Navier-Stokes equations approximated by the lowest equal-order finite element pairs. The method combines the new stabilized finite element method with the multi-level discretization und
## Abstract A new formulation of the Navier–Stokes equations is introduced to solve incompressible flow problems. When finite element methods are used under this formulation there is no need to worry whether Babuska–Brezzi condition is satisfied or not. Both velocity and pressure can be obtained se