A robust coarse space for Optimized Schwarz methods SORAS-GenEO-2

Ryadh Haferssas 1, 2 Pierre Jolivet 1, 2 Frédéric Nataf 2, 1
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, Institut National des Sciences Mathématiques et de leurs Interactions
Abstract : Optimized Schwarz methods (OSM) are very popular methods which were introduced in [11] for elliptic problems and in [3] for propagative wave phenomena. We build here a coarse space for which the convergence rate of the two-level method is guaranteed regardless of the regularity of the coefficients. We do this by introducing a symmetrized variant of the ORAS (Optimized Restricted Additive Schwarz) algorithm [17] and by identifying the problematic modes using two different generalized eigenvalue problems instead of only one as in [16,15] for the ASM (Additive Schwarz method), BDD (balancing domain decomposition [12]) or FETI (finite element tearing and interconnection [6]) methods. To cite this article: , C. R. Acad. Sci. Paris, Ser. I +++++ (+++++).
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Ryadh Haferssas, Pierre Jolivet, Frédéric Nataf. A robust coarse space for Optimized Schwarz methods SORAS-GenEO-2. 2015. ⟨hal-01100926⟩

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