Generalized ADI preconditioning
type: Item
instance of: scholarly article
title: Generalized ADI preconditioning
zbMATH Open document ID: 0578.65027
DOI: 10.1016/0898-1221(84)90076-2
author: Eugene L. Wachspress
publication date: 1984-01-01T00:00:00Z
review text: The two notes comment on the combination of different efficient tools for the solution of linear equations as the ADI-method, conjugate gradients and multigrid methods. For example, the author refers to the somewhat unexpected result of \textit{R. E. Bank} and \textit{C. C. Douglas} [SIAM J. Numer. Anal. 22, 617-633 (1985; reviewed above)] that conjugate gradients seem to work well when used as smoothers in multigrid algorithms. This is surprising since this approach does not attach any less importance to low-mode error reduction than to high-mode reduction. \{Reviewer's remark: There are indeed examples in which conjugate gradients are less efficient than classical smoothers and to which the author's comments apply.\}
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 3926083
zbMATH Keywords: ADI preconditioning
zbMATH Keywords: ADI-method
zbMATH Keywords: conjugate gradients
zbMATH Keywords: multigrid methods
zbMATH Keywords: error reduction
reviewed by: D. Braess
MaRDI profile type: Publication
full work available at URL: 0898-1221(84)90076-2
OpenAlex ID: W2069918778
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 3926083