Geodesic
A penalty algorithm for the spectral element discretization of the Stokes problem
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 2, pp. 201-216

Voir la notice de l'article provenant de la source Numdam

The penalty method when applied to the Stokes problem provides a very efficient algorithm for solving any discretization of this problem since it gives rise to a system of two equations where the unknowns are uncoupled. For a spectral or spectral element discretization of the Stokes problem, we prove a posteriori estimates that allow us to optimize the penalty parameter as a function of the discretization parameter. Numerical experiments confirm the interest of this technique.

DOI : 10.1051/m2an/2010038
Classification : 76D07, 76M22
Keywords: Stokes problem, spectral elements, penalty algorithm 
@article{M2AN_2011__45_2_201_0,
     author = {Bernardi, Christine and Blouza, Adel and Chorfi, Nejmeddine and Kharrat, Nizar},
     title = {A penalty algorithm for the spectral element discretization of the {Stokes} problem},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {201--216},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {2},
     year = {2011},
     doi = {10.1051/m2an/2010038},
     mrnumber = {2804636},
     zbl = {1267.76023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010038/}
}
TY  - JOUR
AU  - Bernardi, Christine
AU  - Blouza, Adel
AU  - Chorfi, Nejmeddine
AU  - Kharrat, Nizar
TI  - A penalty algorithm for the spectral element discretization of the Stokes problem
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2011
SP  - 201
EP  - 216
VL  - 45
IS  - 2
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010038/
DO  - 10.1051/m2an/2010038
LA  - en
ID  - M2AN_2011__45_2_201_0
ER  - 
%0 Journal Article
%A Bernardi, Christine
%A Blouza, Adel
%A Chorfi, Nejmeddine
%A Kharrat, Nizar
%T A penalty algorithm for the spectral element discretization of the Stokes problem
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2011
%P 201-216
%V 45
%N 2
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010038/
%R 10.1051/m2an/2010038
%G en
%F M2AN_2011__45_2_201_0
Bernardi, Christine; Blouza, Adel; Chorfi, Nejmeddine; Kharrat, Nizar. A penalty algorithm for the spectral element discretization of the Stokes problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 2, pp. 201-216. doi: 10.1051/m2an/2010038

Cité par Sources :