| Issue |
ESAIM: M2AN
Volume 33, Number 5, September October 1999
|
|
|---|---|---|
| Page(s) | 1033 - 1056 | |
| DOI | https://doi.org/10.1051/m2an:1999133 | |
| Published online | 15 August 2002 | |
Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation
1
IPRA - LMA (UPRESA 5033 du CNRS),
Université de Pau, avenue de l'Université, 64000 Pau, France.
2
Analyse Numérique, CNRS and Université Pierre et Marie Curie,
B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France.
Received:
May
1998
The standard discretization of the Stokes and Navier–Stokes equations in vorticity and stream function formulation by affine finite elements is known for its bad convergence. We present here a modified discretization, we prove that the convergence is improved and we establish a priori error estimates.
Résumé
Il est bien connu que la discrétisation usuelle des équations de Stokes et de Navier–Stokes en formulation tourbillon et fonction courant par éléments finis affines converge mal. Nous présentons ici une discrétisation modifiée dont nous prouvons la meilleure convergence et nous établissons des majorations d'erreur a priori.
Mathematics Subject Classification: 65N30
Key words: Navier–Stokes equations / finite elements.
© EDP Sciences, SMAI, 1999
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