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A Domain Decomposition Preconditioner for an Advection-Di usion Problem

Summary: A Domain Decomposition Preconditioner for an
Advection-Di usion Problem
Yves Achdou
INSA Rennes, 20 Av des Buttes de Coesmes, 35043 Rennes, France
Patrick Le Tallec
Universite Paris Dauphine, 75 775 Paris Cedex 16, France
Frederic Nataf
CMAP UMR7641 CNRS, Ecole Polytechnique, 91128, Palaiseau Cedex,France
Marina Vidrascu
INRIA Rocquencourt, BP 105, 78 153 Le Chesnay Cedex, France
We propose a generalization of the Neumann-Neumann algorithm for
advection-di usion problems: the Neumann conditions are replaced by
suitable Robin conditions. The method is rst introduced and analysed in
the case where the domain is partitioned into vertical strips, then general-
ized to an arbitrary decomposition. A coarse space procedure is proposed.
Finally, numerical results for bidimensional and tridimensional tests are
1 Introduction
The primary objective of domain decomposition methods is the eĆcient so-
lution on parallel machines of problems in Computational Mechanics set on


Source: Achdou, Yves - Laboratoire Jacques-Louis Lions, Université Pierre-et-Marie-Curie, Paris 6


Collections: Mathematics