| Issue |
ESAIM: M2AN
Volume 33, Number 2, March April 1999
|
|
|---|---|---|
| Page(s) | 245 - 259 | |
| DOI | https://doi.org/10.1051/m2an:1999113 | |
| Published online | 15 August 2002 | |
On a Parallel Implementation of the Mortar Element Method
1
Institute of Numerical Mathematics,
Russian Academy of Sciences, Ul. Gubkina 8, GSP-1, Moscow, Russia.
2
INSA Rennes, 20 avenue des Buttes de Coesmes, 35043 Rennes, France
and
CMAP, École Polytechnique, 91128
Palaiseau Cedex, France. yves.achdou@insa-rennes.fr.
3
ASCI, CNRS, Université Paris Sud,
bâtiment 506, 91405 Orsay, France and INRIA Rocquencourt.
Received:
10
June
1997
Revised:
29
September
1997
We discuss a parallel implementation of the domain decomposition method based on the macro-hybrid formulation of a second order elliptic equation and on an approximation by the mortar element method. The discretization leads to an algebraic saddle- point problem. An iterative method with a block- diagonal preconditioner is used for solving the saddle- point problem. A parallel implementation of the method is emphasized. Finally the results of numerical experiments are presented.
Résumé
Nous présentons ici un algorithme parallèle pour un problème elliptique du second ordre en trois dimensions discrétisé par une méthode d'éléments finis avec joints. Le problème est écrit sous forme de point selle. Nous utilisons une méthode itérative avec un préconditionneur diagonal par blocs. Après avoir décrit l'algorithme parallèle, nous présentons des tests numériques.
Mathematics Subject Classification: 65N55 / 65M55
Key words: Domain decomposition; mortar finite element method; saddle-point problem; preconditioned iterative method; parallel computing.
© EDP Sciences, SMAI, 1999
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