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Robust Block Preconditioners for Biot’s Model Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Heterogeneous Optimized Schwarz Methods for Coupling Helmholtz and Laplace Equations

Authors : Martin J. Gander, Tommaso Vanzan

Published in: Domain Decomposition Methods in Science and Engineering XXIV

Publisher: Springer International Publishing

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Abstract

Optimized Schwarz methods have increasingly drawn attention over the last decades because of their improvements in terms of robustness and computational cost compared to the classical Schwarz method. Optimized Schwarz methods are also a natural framework to study heterogeneous phenomena, where the spatial decomposition is provided by the multi-physics of the problem, because of their good convergence properties in the absence of overlap. We propose here zeroth order optimized transmission conditions for the coupling between the Helmholtz equation and the Laplace equation, giving asymptotically optimized choices for the parameters, and illustrating our analytical results with numerical experiments.

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previous chapter Complete, Optimal and Optimized Coarse Spaces for Additive Schwarz
next chapter Restrictions on the Use of Sweeping Type Preconditioners for Helmholtz Problems
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Metadata
Title
Heterogeneous Optimized Schwarz Methods for Coupling Helmholtz and Laplace Equations
Authors
Martin J. Gander
Tommaso Vanzan
Copyright Year
2018
Book
Domain Decomposition Methods in Science and Engineering XXIV

Print ISBN: 978-3-319-93872-1

Electronic ISBN: 978-3-319-93873-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-93873-8_29

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