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.
Publié le : 1999-04-04
Classification:
Mortar method,
65N55, 65M55,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-01220803,
author = {Abdoulaev, Gassav and Achdou, Yves and Kuznetsov, Yuri and Prud'Homme, Christophe},
title = {On a Parallel Implementation of the Mortar Element Method},
journal = {HAL},
volume = {1999},
number = {0},
year = {1999},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01220803}
}
Abdoulaev, Gassav; Achdou, Yves; Kuznetsov, Yuri; Prud'Homme, Christophe. On a Parallel Implementation of the Mortar Element Method. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01220803/