Study of Schwarz methods in presence of crossover points
Abstract
Two-level domain decomposition methods were developed in the 1990s to access
scalability in the presence of a large number of sub-domains. In the last decade, “coarse” spaces
have been developed to deal with very heterogeneous problems.
In this work, we propose a modal study of Schwarz’s methods applied to the Poisson equation,
in the presence of crossing points. We take advantage of this approach to build a coarse correction operator
which significantly accelerates the convergence of the method.
