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1989 | OriginalPaper | Chapter

Local Mode Smoothing Analysis of Various Incomplete Factorization Iterative Methods

Author : M. Khalil

Published in: Robust Multi-Grid Methods

Publisher: Vieweg+Teubner Verlag

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By local mode analysis an infinite domain we can assess the smoothing efficiency of iterative methods based on incomplete factorizations. Our analysis consists of an analytic and numerical study of a simple two-dimensional problem: -εuxx - uyy = f discretized by finite differences. This analysis is done for pointwise and blockwise incomplete factorizations. This study show how this analysis is helpful to obtain simple expressions for the smoothing factors and to introduce new smoothers.

Metadata
Title
Local Mode Smoothing Analysis of Various Incomplete Factorization Iterative Methods
Author
M. Khalil
Copyright Year
1989
Publisher
Vieweg+Teubner Verlag
Book
Robust Multi-Grid Methods

Print ISBN: 978-3-528-08097-6

Electronic ISBN: 978-3-322-86200-6

Copyright Year: 1989

DOI
https://doi.org/10.1007/978-3-322-86200-6_14

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