[Erreurs dʼestimation pour le problème de Stokes en trois dimensions avec des conditions aux limites non standards]
Dans cette Note, nous établissons des estimations dʼerreur a posteriori pour le problème de Stokes avec certaines conditions aux limites non standards en dimension trois. La formulation variationnelle est découplée en un problème pour la vitesse et une équation de Poisson pour la pression. La vitesse est approchée par les éléments finis rot et la pression par les éléments continus standards. Nous établirons par la suite les estimations a posteriori optimales.
This work is devoted to the optimal and a posteriori error estimates of the Stokes problem with some non-standard boundary conditions in three dimensions. The variational formulation is decoupled into a system for the velocity and a Poisson equation for the pressure. The velocity is approximated with curl conforming finite elements and the pressure with standard continuous elements. Next, we establish optimal a posteriori estimates.
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@article{CRMATH_2011__349_9-10_523_0,
author = {Abboud, Hyam and El Chami, Fida and Sayah, Toni},
title = {Error estimates for three-dimensional {Stokes} problem with non-standard boundary conditions},
journal = {Comptes Rendus. Math\'ematique},
pages = {523--528},
publisher = {Elsevier},
volume = {349},
number = {9-10},
year = {2011},
doi = {10.1016/j.crma.2011.03.021},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2011.03.021/}
}
TY - JOUR AU - Abboud, Hyam AU - El Chami, Fida AU - Sayah, Toni TI - Error estimates for three-dimensional Stokes problem with non-standard boundary conditions JO - Comptes Rendus. Mathématique PY - 2011 SP - 523 EP - 528 VL - 349 IS - 9-10 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2011.03.021/ DO - 10.1016/j.crma.2011.03.021 LA - en ID - CRMATH_2011__349_9-10_523_0 ER -
%0 Journal Article %A Abboud, Hyam %A El Chami, Fida %A Sayah, Toni %T Error estimates for three-dimensional Stokes problem with non-standard boundary conditions %J Comptes Rendus. Mathématique %D 2011 %P 523-528 %V 349 %N 9-10 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2011.03.021/ %R 10.1016/j.crma.2011.03.021 %G en %F CRMATH_2011__349_9-10_523_0
Abboud, Hyam; El Chami, Fida; Sayah, Toni. Error estimates for three-dimensional Stokes problem with non-standard boundary conditions. Comptes Rendus. Mathématique, Tome 349 (2011) no. 9-10, pp. 523-528. doi : 10.1016/j.crma.2011.03.021. http://www.numdam.org/articles/10.1016/j.crma.2011.03.021/
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