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Recent advances in domain decomposition methods for large-scale saddle point problems

Frédéric Nataf 1 Pierre-Henri Tournier 1 
1 ALPINES - Algorithms and parallel tools for integrated numerical simulations
INSMI - Institut National des Sciences Mathématiques et de leurs Interactions, Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : Scalability of parallel solvers for problems with high heterogeneities relies on adaptive coarse spaces built from generalized eigenvalue problems in the subdomains. The corresponding theory is powerful and flexible but the development of an efficient parallel implementation is challenging. We report here on recent advances in adaptive coarse spaces and on their open source implementations in domain specific languages such as FreeFem, focusing on a new domain decomposition for saddle point formulations with some numerical tests.
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https://hal-cnrs.archives-ouvertes.fr/hal-03837155
Contributor : Frédéric Nataf Connect in order to contact the contributor
Submitted on : Wednesday, November 2, 2022 - 4:46:12 PM
Last modification on : Thursday, November 3, 2022 - 4:37:53 PM

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Frédéric Nataf, Pierre-Henri Tournier. Recent advances in domain decomposition methods for large-scale saddle point problems. Comptes Rendus. Mécanique, 2022, 350 (S1), pp.1-15. ⟨10.5802/crmeca.130⟩. ⟨hal-03837155⟩

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