The contraction number of a multigrid method with mesh ratio two for solving model problems
type: Item
instance of: scholarly article
title: The contraction number of a multigrid method with mesh ratio two for solving model problems
zbMATH Open document ID: 0611.65062
DOI: 10.1016/0024-3795(86)90289-2
author: Zhi-Hao Cao
author: Yin Zhang
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: A multigrid algorithm with mesh ratio 2 for solving the Poisson equation is analyzed. Specifically \textit{R. Verfürth}'s algorithm [ibid. 60, 113- 128 (1984; Zbl 0548.65074)] is treated by Fourier methods. In this framework, the authors obtain estimates of the convergence rates for the rectangle which are better than Verfürth's results for arbitrary convex domains.
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 3988650
zbMATH Keywords: contraction number
zbMATH Keywords: multigrid
zbMATH Keywords: Poisson equation
zbMATH Keywords: Fourier methods
zbMATH Keywords: convergence rates
reviewed by: D. Braess
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90289-2
OpenAlex ID: W2008116737
cites work: The contraction number of a multigrid method for solving the Poisson equation
cites work: The Covergence Rate of a Multigrid Method with Gauss-Seidel Relaxation for the Poisson Equation
cites work: A note on MGR methods
cites work: Q4742246
cites work: The contraction number of a multigrid method with mesh ratio 2 for solving Poisson's equation
description: scientific article; zbMATH DE number 3988650