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A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems

โœ Scribed by Axel Klawonn; Luca F. Pavarino

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
230 KB
Volume
7
Category
Article
ISSN
1070-5325

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โœฆ Synopsis

Three domain decomposition methods for saddle point problems are introduced and compared. The first two are blockdiagonal and block-triangular preconditioners with diagonal blocks approximated by an overlapping Schwarz technique with positive definite local and coarse problems. The third is an overlapping Schwarz preconditioner based on indefinite local and coarse problems. Numerical experiments show that while all three methods are numerically scalable, the last method is almost always the most efficient.

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