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Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition

journal contribution
posted on 2023-06-07, 22:57 authored by Eberhard Bänsch, Klaus Deckelnick
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.

History

Publication status

  • Published

Journal

ESAIM: Mathematical Modelling and Numerical Analysis

ISSN

0764-583X

Publisher

EDP Sciences

Issue

5

Volume

33

Page range

923-938

ISBN

0764-583X

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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