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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 DeckelnickWe 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.
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Publication status
- Published
Journal
ESAIM: Mathematical Modelling and Numerical AnalysisISSN
0764-583XPublisher
EDP SciencesExternal DOI
Issue
5Volume
33Page range
923-938ISBN
0764-583XDepartment affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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