Monday 1st March 2021- Visio
Laurence Halpern (LGA, Univ. Paris-Nord) .

Study of Schwarz methods in presence of crossover points


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.

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