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

2018 | OriginalPaper | Chapter

An Additive Schwarz Analysis for Multiplicative Schwarz Methods: General Case

Author : Susanne C. Brenner

Published in: Domain Decomposition Methods in Science and Engineering XXIV

Publisher: Springer International Publishing

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Abstract

We analyze multiplicative Schwarz methods through the additive Schwarz theory. As a by-product we recover the Xu-Zikatanov identity for the norm of product operators. This extends earlier work by the author on multiplicative Schwarz methods that use symmetric positive definite solvers for the subspace corrections.

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previous chapter Robust Block Preconditioners for Biot’s Model
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Metadata
Title
An Additive Schwarz Analysis for Multiplicative Schwarz Methods: General Case
Author
Susanne C. Brenner
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_2

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