Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation

Authors
Amara, M Bernardi, C
Citation
M. Amara et C. Bernardi, Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation, RAIRO-M MOD, 33(5), 1999, pp. 1033-1056
Citations number
15
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
5
Year of publication
1999
Pages
1033 - 1056
Database
ISI
SICI code
0764-583X(199909/10)33:5<1033:COAFED>2.0.ZU;2-2
Abstract
The standard discretization of the Stokes and Navier-Stokes equations in vo rticity and stream function formulation by affine finite elements is known for its bad convergence. We present here a modified discretization, we prov e that the convergence is improved and we establish a priori error estimate s. AMS Subject Classification. 65N30.