Optimal error estimates for the Stokes and Navier-Stokes equations with slip-boundary condition

Authors
Bansch, E Deckelnick, K
Citation
E. Bansch et K. Deckelnick, Optimal error estimates for the Stokes and Navier-Stokes equations with slip-boundary condition, RAIRO-M MOD, 33(5), 1999, pp. 923-938
Citations number
22
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
923 - 938
Database
ISI
SICI code
0764-583X(199909/10)33:5<923:OEEFTS>2.0.ZU;2-L
Abstract
We consider a finite element discretization by the Taylor-Hood element for the stationary Stokes and Navier-Stokes equations with slip boundary condit ion. The slip boundary condition is enforced pointwise for nodal values of the velocity in boundary nodes. We prove optimal error estimates in the H-1 and L-2 norms for the velocity and pressure respectively. AMS Subject Clas sification. 35Q30, 65N15, 65N30, 76D05, 76D07.