An analysis of some nonconforming approximations of the Stokes problem is presented. The approximations are based on a strain-pressure variational formulation. In particular, a convergence and stability result for a method recently proposed by Bathe and Pantuso is provided.
Quasisolenoidal velocity-pressure finite element methods for the three-dimensional Stokes problem
โ Scribed by Vitoriano Ruas
- Publisher
- Springer-Verlag
- Year
- 1985
- Tongue
- English
- Weight
- 737 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0029-599X
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๐ SIMILAR VOLUMES
The article treats the question of how to numerically solve the Dirichlet problem for the Stokes system in the exterior of a three-dimensional bounded Lipschitz domain. In a first step, the solution of this problem is approximated by functions solving the Stokes system in a truncated domain and sati
## Communicated by F. Brezzi Abstract--We show that the mixed finite element approximation scheme with pressure stabilization for the Stokes problem in R 3 is stable for some tetrahedral elements including the P++I -Pk-1 element and'the cross-grid Pk+l -Pk-1 element, k > 2. (~) 2000 Elsevier Scien