Multigrid methods for symmetric variational problems: A general theory and convergence estimates for usual smoothers
type: Item
instance of: scholarly article
title: Multigrid methods for symmetric variational problems: A general theory and convergence estimates for usual smoothers
zbMATH Open document ID: 0636.65065
DOI: 10.1016/0096-3003(87)90007-5
author: Jean-François Maitre
author: François Musy
published in: Applied Mathematics and Computation
publication date: 1987-01-01T00:00:00Z
review text: The authors consider multigrid methods for symmetric variational problems on a sequence of nested subspaces of a Hilbert space. A general convergence result through bounds on the convergence rate in the energy norm is derived. The bounds are made precise for some usual smoothers. As an illustration a one-dimensional Poisson equation is given. It is an interesting paper and the reviewer believes that similar results can be obtained for variational inequalities of elliptic type.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49K27
zbMATH DE Number: 4037069
zbMATH Keywords: multigrid methods
zbMATH Keywords: nested subspaces
zbMATH Keywords: Hilbert space
zbMATH Keywords: convergence rate
zbMATH Keywords: Poisson equation
reviewed by: Muhammad Aslam Noor
MaRDI profile type: Publication
full work available at URL: 0096-3003(87)90007-5
OpenAlex ID: W2148119467
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description: scientific article; zbMATH DE number 4037069