OATAO - Open Archive Toulouse Archive Ouverte Open Access Week

Low-order finite element method for the well-posed bidimensional Stokes problem

Salaün, Michel and Salmon, Stéphanie Low-order finite element method for the well-posed bidimensional Stokes problem. (2015) IMA Journal of Numerical Analysis, 35 (1). 427-453. ISSN 0272-4979

(Document in English)

PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader

Official URL: http://dx.doi.org/10.1093/imanum/drt063


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.

Item Type:Article
HAL Id:hal-01939301
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Université de Reims - Champagne-Ardenne (FRANCE)
Laboratory name:
Deposited On:05 Mar 2014 14:25

Repository Staff Only: item control page