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Chapter 2: Optimized Schwarz methods

Victorita Dolean, Pierre Jolivet, Frédéric Nataf

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Abstract

During the last few decades, a new class of nonoverlapping and overlapping Schwarz methods was developed for PDEs, namely the optimized Schwarz methods (OSM). These methods are based on a classical domain decomposition, but they use more effective transmission conditions than the classical Dirichlet conditions at the interfaces between subdomains.

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What this paper is about

During the last few decades, a new class of nonoverlapping and overlapping Schwarz methods was developed for PDEs, namely the optimized Schwarz methods (OSM). These methods are based on a classical domain decomposition, but they use more effective transmission conditions than the classical Dirichlet conditions at the interfaces between subdomains.

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Available abstract

During the last few decades, a new class of nonoverlapping and overlapping Schwarz methods was developed for PDEs, namely the optimized Schwarz methods (OSM). These methods are based on a classical domain decomposition, but they use more effective transmission conditions than the classical Dirichlet conditions at the interfaces between subdomains.

Key concepts: Schwarz alternating method, Domain decomposition methods, Additive Schwarz method, Dirichlet distribution, Class (philosophy), Decomposition, Computer science, Domain (mathematical analysis)

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