| Issue |
ESAIM: M2AN
Volume 33, Number 1, January Fabruary 1999
|
|
|---|---|---|
| Page(s) | 89 - 97 | |
| DOI | https://doi.org/10.1051/m2an:1999106 | |
| Published online | 15 August 2002 | |
Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem
Institute of Systems Science, Academia Sinica,
Beijing 100080, China.
Received:
26
June
1998
Revised:
21
October
1997
Revised:
3
March
1998
In this paper, a multi-parameter error resolution technique is applied into a mixed finite element method for the Stokes problem. By using this technique and establishing a multi-parameter asymptotic error expansion for the mixed finite element method, an approximation of higher accuracy is obtained by multi-processor computers in parallel.
Résumé
Dans cet article une méthode de résolution d'erreurs multi-paramétrique est appliquée à la méthode des éléments finis mixte pour le problème de Stokes. À l'aide de cette technique, et en utilisant un développement asymptotique multi-paramétrique de l'erreur, on obtient une plus grande précision par calcul parallèle sur des machines multi-processeurs.
Mathematics Subject Classification: 65N15 / 65N30
Key words: Multi-parameter asymptotic error resolution / multi-parameter extrapolation / mixed finite element / Stoke problem / parallel computing
© EDP Sciences, SMAI, 1999
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