Convergence of multigrid methods for nonsymmetric, indefinite problems
type: Item
instance of: scholarly article
title: Convergence of multigrid methods for nonsymmetric, indefinite problems
zbMATH Open document ID: 0661.65037
DOI: 10.1016/0096-3003(88)90076-8
published in: Applied Mathematics and Computation
publication date: 1988-01-01T00:00:00Z
review text: A convergence theory is developed for multigrid methods for nonsymmetric, indefinite problems in a variational setting. Convergence is proved under discrete analogues of the \(H^{1+\alpha}\) regularity assumption. Special emphasis is put on the verification of the assumptions for various smoothers. \{The lower-order terms of differential equations lead to stencils with coefficients which are O(h) when compared with the coefficients of the main part. Therefore, the lower-order nonsymmetric terms are treated as perturbations. Unfortunately, the reviewer does not see whether the arguments imply that the nonsymmetric terms become arbitrarily small with respect to the discrete norms.\}
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4080760
zbMATH Keywords: convergence
zbMATH Keywords: multigrid methods
zbMATH Keywords: nonsymmetric, indefinite problems
author: Zhi-Hao Cao
reviewed by: D. Braess
MaRDI profile type: Publication
full work available at URL: 0096-3003(88)90076-8
OpenAlex ID: W2151324170
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description: scientific article; zbMATH DE number 4080760