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On the Smoothing Property of Multigrid Methods in the Non-symmetric Case

✍ Scribed by Alois Ecker; Walter Zulehner

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
414 KB
Volume
3
Category
Article
ISSN
1070-5325

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✦ Synopsis

In this paper we present an extension of Reusken's Lemma about the smoothing property of a multigrid method for solving non-symmetric linear systems of equations. One of the consequences of this extended lemma is the verification of the smoothing property for all damping factors o E (0, 1). Additionally, a semi-iterative smoother is constructed which gives, in some sense, optimal smoothing rate estimates.

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