A simple pressure stabilization method for the Stokes equation

R. Becker 1, 2 Peter Hansbo 3
1 CONCHA - Complex Flow Simulation Codes based on High-order and Adaptive methods
Inria Bordeaux - Sud-Ouest, UPPA - Université de Pau et des Pays de l'Adour, CNRS - Centre National de la Recherche Scientifique : UMR5142
Abstract : In this paper, we consider a stabilization method for the Stokes problem, using equal-order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal-order interpolation in the case of piecewise linear and piecewise quadratic polynomials on triangles. In the case of linear polynomials, we retrieve a well-known idea of using mass lumping as a stabilization mechanism
Type de document :
Article dans une revue
Communications in Numerical Methods in Engineering, Wiley, 2008, 24 (11), pp.1421-1430. 〈10.1002/cnm.1041〉
Liste complète des métadonnées

https://hal.inria.fr/inria-00343015
Contributeur : Vincent Perrier <>
Soumis le : vendredi 28 novembre 2008 - 17:16:24
Dernière modification le : jeudi 11 janvier 2018 - 06:22:32

Lien texte intégral

Identifiants

Collections

Citation

R. Becker, Peter Hansbo. A simple pressure stabilization method for the Stokes equation. Communications in Numerical Methods in Engineering, Wiley, 2008, 24 (11), pp.1421-1430. 〈10.1002/cnm.1041〉. 〈inria-00343015〉

Partager

Métriques

Consultations de la notice

162