ALGORITHMS FOR A NON CONFORMING DOMAIN DECOMPOSITION METHOD
                      Y. Achdou (CMAP: achdou@cmapx.polytechnique.fr)
                    Yu.A. Kuznetsov
             					(Institute of Numerical Mathematics,
								 Russian Academy of Sciences,
								 32a Leninskij Prospect, Moscow 117334 )


The Q1 mortar element method is a non conforming domain decomposition 
method based on Q1 finite elements. It enables to use very simple structured
meshes in subdomains.For the Laplace equation, it yields an ill conditioned 
linear system. A preconditioner is presented, and two different conjugate
gradient methods using this preconditioner are implemented and tested 
numerically.


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