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2018 | OriginalPaper | Chapter

Optimized Schwarz Method for Poisson’s Equation in Rectangular Domains

Authors : José C. Garay, Frédéric Magoulès, Daniel B. Szyld

Published in: Domain Decomposition Methods in Science and Engineering XXIV

Publisher: Springer International Publishing

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Abstract

An analysis of the convergence properties of Optimized Schwarz methods applied as solvers for Poisson’s Equation in a bounded rectangular domain with Dirichlet (physical) boundary conditions and Robin transmission conditions on the artificial boundaries is presented. To our knowledge this is the first time that this is done for multiple subdomains forming a 2D array in a bounded domain.

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Literature
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Metadata
Title
Optimized Schwarz Method for Poisson’s Equation in Rectangular Domains
Authors
José C. Garay
Frédéric Magoulès
Daniel B. Szyld
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-93873-8_51

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