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

Eberhard Bänsch; Klaus Deckelnick

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 5, page 923-938
- ISSN: 0764-583X

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topBänsch, Eberhard, and Deckelnick, Klaus. "Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition." ESAIM: Mathematical Modelling and Numerical Analysis 33.5 (2010): 923-938. <http://eudml.org/doc/197547>.

@article{Bänsch2010,

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.
},

author = {Bänsch, Eberhard, Deckelnick, Klaus},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Stokes equations; Navier–Stokes equations;
finite elements; slip boundary condition; error estimates.; Navier-Stokes equations; slip boundary conditions; optimal error estimates; velocity; pressure; Sobolev spaces},

language = {eng},

month = {3},

number = {5},

pages = {923-938},

publisher = {EDP Sciences},

title = {Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition},

url = {http://eudml.org/doc/197547},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Bänsch, Eberhard

AU - Deckelnick, Klaus

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 5

SP - 923

EP - 938

AB -
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.

LA - eng

KW - Stokes equations; Navier–Stokes equations;
finite elements; slip boundary condition; error estimates.; Navier-Stokes equations; slip boundary conditions; optimal error estimates; velocity; pressure; Sobolev spaces

UR - http://eudml.org/doc/197547

ER -

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