Geodesic
A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 6, pp. 903-924

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

It is well known that the classical local projection method as well as residual-based stabilization techniques, as for instance streamline upwind Petrov-Galerkin (SUPG), are optimal on isotropic meshes. Here we extend the local projection stabilization for the Navier-Stokes system to anisotropic quadrilateral meshes in two spatial dimensions. We describe the new method and prove an a priori error estimate. This method leads on anisotropic meshes to qualitatively better convergence behavior than other isotropic stabilization methods. The capability of the method is illustrated by means of two numerical test problems.

DOI : 10.1051/m2an:2008032
Classification : 35Q30, 65N30, 76D05
Keywords: incompressible flow, Navier-Stokes equations, stabilized finite elements, anisotropic meshes 
@article{M2AN_2008__42_6_903_0,
     author = {Braack, Malte},
     title = {A stabilized finite element scheme for the {Navier-Stokes} equations on quadrilateral anisotropic meshes},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {903--924},
     publisher = {EDP-Sciences},
     volume = {42},
     number = {6},
     year = {2008},
     doi = {10.1051/m2an:2008032},
     mrnumber = {2473313},
     zbl = {1149.76026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008032/}
}
TY  - JOUR
AU  - Braack, Malte
TI  - A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2008
SP  - 903
EP  - 924
VL  - 42
IS  - 6
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008032/
DO  - 10.1051/m2an:2008032
LA  - en
ID  - M2AN_2008__42_6_903_0
ER  - 
%0 Journal Article
%A Braack, Malte
%T A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2008
%P 903-924
%V 42
%N 6
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008032/
%R 10.1051/m2an:2008032
%G en
%F M2AN_2008__42_6_903_0
Braack, Malte. A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 6, pp. 903-924. doi: 10.1051/m2an:2008032

Cité par Sources :