Geodesic
Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
Applications of Mathematics, Tome 54 (2009) no. 3, pp. 237-250
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper we propose a method for improving the convergence rate of the mixed finite element approximations for the Stokes eigenvalue problem. It is based on a postprocessing strategy that consists of solving an additional Stokes source problem on an augmented mixed finite element space which can be constructed either by refining the mesh or by using the same mesh but increasing the order of the mixed finite element space.
In this paper we propose a method for improving the convergence rate of the mixed finite element approximations for the Stokes eigenvalue problem. It is based on a postprocessing strategy that consists of solving an additional Stokes source problem on an augmented mixed finite element space which can be constructed either by refining the mesh or by using the same mesh but increasing the order of the mixed finite element space.
DOI : 10.1007/s10492-009-0015-7
Classification : 35P15, 65B99, 65L15, 65N12, 65N25, 65N30
Keywords: Stokes eigenvalue problem; mixed finite element method; Rayleigh quotient formula; postprocessing 
@article{10_1007_s10492_009_0015_7,
     author = {Chen, Hongtao and Jia, Shanghui and Xie, Hehu},
     title = {Postprocessing and higher order convergence for the mixed finite element approximations of the {Stokes} eigenvalue problems},
     journal = {Applications of Mathematics},
     pages = {237--250},
     year = {2009},
     volume = {54},
     number = {3},
     doi = {10.1007/s10492-009-0015-7},
     mrnumber = {2530541},
     zbl = {1212.65431},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0015-7/}
}
TY  - JOUR
AU  - Chen, Hongtao
AU  - Jia, Shanghui
AU  - Xie, Hehu
TI  - Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
JO  - Applications of Mathematics
PY  - 2009
SP  - 237
EP  - 250
VL  - 54
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0015-7/
DO  - 10.1007/s10492-009-0015-7
LA  - en
ID  - 10_1007_s10492_009_0015_7
ER  - 
%0 Journal Article
%A Chen, Hongtao
%A Jia, Shanghui
%A Xie, Hehu
%T Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
%J Applications of Mathematics
%D 2009
%P 237-250
%V 54
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0015-7/
%R 10.1007/s10492-009-0015-7
%G en
%F 10_1007_s10492_009_0015_7
Chen, Hongtao; Jia, Shanghui; Xie, Hehu. Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems. Applications of Mathematics, Tome 54 (2009) no. 3, pp. 237-250. doi: 10.1007/s10492-009-0015-7

Cité par Sources :