On the multigrid F-cycle
type: Item
instance of: scholarly article
title: On the multigrid F-cycle
zbMATH Open document ID: 0703.65074
DOI: 10.1016/0096-3003(90)90108-F
author: Jan Mandel
author: Seymour V. Parter
published in: Applied Mathematics and Computation
publication date: 1990-01-01T00:00:00Z
review text: The authors investigate the convergence properties of the multigrid F- cycle in the case of \(H^{1+\alpha}\)-regularity, \(\alpha <1\), of the considered second-order elliptic problem. They obtain the asymptotic bound \(1-O(k^{-(1-\alpha)^ 2/\alpha})\) of the convergence rate, where k denotes the number of levels. They also show that in many cases, for practical values of k, one gets the same bound for the F-cycle as for the V-cycle with \(\alpha =1\).
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4153832
zbMATH Keywords: multigrid methods
zbMATH Keywords: multigrid F-cycle
zbMATH Keywords: asymptotic bound
zbMATH Keywords: convergence rate
reviewed by: Michael Jung
MaRDI profile type: Publication
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cites work: A note on convergence of the multigrid V-cycle
full work available at URL: 0096-3003(90)90108-f
OpenAlex ID: W1963856998
description: scientific article; zbMATH DE number 4153832