Multigrid convergence for a singular perturbation problem
type: Item
instance of: scholarly article
title: Multigrid convergence for a singular perturbation problem
zbMATH Open document ID: 0545.65061
DOI: 10.1016/0024-3795(84)90208-8
author: Wolfgang Hackbusch
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: The behaviour of multigrid methods applied to singularly perturbed elliptic boundary value problems is analysed for the one-dimensional model problem \(-\epsilon u''+u'=f\) with periodic and Dirichlet boundary conditions. A close relationship between these cases is established. This allows to apply the results of a Fourier analysis for periodic boundary conditions to the case of Dirichlet boundary conditions. It should be noted that the Fourier analysis is not directly applicable to the latter case.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 3868539
zbMATH Keywords: nonsymmetric problems
zbMATH Keywords: upwinding
zbMATH Keywords: model problem
zbMATH Keywords: Fourier analysis
zbMATH Keywords: multigrid methods
zbMATH Keywords: periodic
reviewed by: Jan Mandel
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90208-8
OpenAlex ID: W2043141663
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description: scientific article; zbMATH DE number 3868539