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- Title
Low-order finite element method for the well-posed bidimensional Stokes problem.
- Authors
Salaün, Michel; Salmon, Stéphanie
- Abstract
We work on a low-order finite element approximation of the vorticity, velocity and pressure formulation of the bidimensional Stokes problem. In a previous paper, we have introduced the adequate space in which to look for the vorticity in order to have a well-posed problem. In this paper, we deal with the numerical approximation of this space, prove optimal convergence of the scheme and show numerical experiments in good accordance with the theory. We remark that despite one supplementary unknown (the vorticity), results of the scheme are much better than the ones obtained with the ℙ1 plus bubble−ℙ1 element in the velocity–pressure formulation.
- Subjects
FINITE element method; STOKES equations; DATA analysis; NUMERICAL analysis; MATHEMATICAL analysis
- Publication
IMA Journal of Numerical Analysis, 2015, Vol 35, Issue 1, p427
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/drt063