An ASM type theory for P.L. Lions algorithm – Optimized Schwarz Methods

Frédéric Nataf 1, 2 Ryadh Haferssas 1, 2 Pierre Jolivet 2, 1
1 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 : We endow P.L. Lions domain decomposition method with a Additive Schwarz Method like theory. It is done via the introduction of a new preconditioner, named SORAS (symmetrized Optimized Restricted Additive Schwarz). It yields a scalable parallel solver for Stokes and almost incompressible problems with continuous pressure. Numerical results on large scale 3D problems are given.
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Submitted on : Sunday, September 13, 2015 - 3:35:34 PM
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  • HAL Id : hal-01196089, version 1


Frédéric Nataf, Ryadh Haferssas, Pierre Jolivet. An ASM type theory for P.L. Lions algorithm – Optimized Schwarz Methods. DD XXIII International Conference on Domain Decomposition Methods, Jul 2015, Jeju, South Korea. ⟨hal-01196089⟩



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