Bänsch, Eberhard and Deckelnick, Klaus (1999) Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition. ESAIM: Mathematical Modelling and Numerical Analysis, 33 (5). pp. 923-938. ISSN 0764-583X

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Abstract

We consider a finite element discretization by the Taylor–Hood element for the stationary Stokes and Navier–Stokes equations with slip boundary condition. 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.

Item Type:	Article
Keywords:	Stokes equations; Navier–Stokes equations; finite elements; slip boundary condition; error estimates
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	EPrints Services
Date Deposited:	06 Feb 2012 19:27
Last Modified:	19 Sep 2012 14:30
URI:	http://sro.sussex.ac.uk/id/eprint/20660

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