Schwarz methods
Domain decomposition methods - Basic notions
Quizzed article REF: AF1375 V1
Schwarz methods
Domain decomposition methods - Basic notions

Authors : Martin J. GANDER, Laurence HALPERN

Publication date: April 10, 2012, Review date: April 26, 2021 | Lire en français

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2. Schwarz methods

For the one-dimensional case of the (14) equation, we will first describe the "historical" Schwarz methods presented by H.A. Schwarz (alternating method) and then P.L. Lions (parallel method). We will then discretize them and interpret the discrete algorithms obtained in terms of relaxation algorithms. We then present the discrete algorithms, in particular the additive Schwarz method by M. Dryja and O. Widlund.

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