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On a Parallel Implementation of the Mortar Element Method

Gassav S. Abdoulaev;  Yves Achdou;  Yuri A. Kuznetsov;  Christophe Prud'homme — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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.

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