Optimal Error Estimates for the Stokes and Navier-Stokes Equations with Slip-Boundary Condition

Bänsch E, Deckelnick K (1999)

Publication Type: Journal article, Original article

Publication year: 1999

Journal

Mathematical Modelling and Numerical Analysis EDP Sciences

Publisher: EDP Sciences

Book Volume: 33

Pages Range: 923-938

Journal Issue: 5

DOI: 10.1051/m2an:1999126

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 H1 and L2 norms for the velocity and pressure respectively.

Authors with CRIS profile

Eberhard Bänsch Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

Involved external institutions

University of Sussex GB United Kingdom (GB)

How to cite

APA:

Bänsch, E., & Deckelnick, K. (1999). Optimal Error Estimates for the Stokes and Navier-Stokes Equations with Slip-Boundary Condition. Mathematical Modelling and Numerical Analysis, 33(5), 923-938. https://dx.doi.org/10.1051/m2an:1999126

MLA:

Bänsch, Eberhard, and Klaus Deckelnick. "Optimal Error Estimates for the Stokes and Navier-Stokes Equations with Slip-Boundary Condition." Mathematical Modelling and Numerical Analysis 33.5 (1999): 923-938.

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