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

Bänsch, 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 -