Analysis of an algebraic Petrov-Galerkin smoothed aggregation multigrid method
type: Item
instance of: scholarly article
title: Analysis of an algebraic Petrov-Galerkin smoothed aggregation multigrid method
zbMATH Open document ID: 1158.65082
author: H. Guillard
author: Aleš Janka
author: Petr Vaněk
published in: Applied Numerical Mathematics
publication date: 2008-11-14T00:00:00Z
review text: The authors establish a convergence estimate for a Petrov-Galerkin algebraic multigrid method, in which the prolongations are defined using the concept of smoothed aggregation and the restrictions are simple aggregation operators. It is done by showing that these methods can be interpreted as Ritz-Galerkin methods using modified transfer and smoothing operators.
reviewed by: Dinh Nho Hào
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 5366005
zbMATH Keywords: multigrid
zbMATH Keywords: finite elements
zbMATH Keywords: finite volumes
zbMATH Keywords: smoothed aggregation
zbMATH Keywords: agglomeration multigrid
zbMATH Keywords: convergence
zbMATH Keywords: Petrov-Galerkin algebraic multigrid method
zbMATH Keywords: Ritz-Galerkin methods
MaRDI profile type: Publication
full work available at URL: j.apnum.2007.11.008
OpenAlex ID: W2148668119
cites work: Q4272015
cites work: On the order of prolongations and restrictions in multigrid procedures
cites work: Q4331699
cites work: Acceleration of convergence of a two-level algorithm by smoothing transfer operators
cites work: Convergence of algebraic multigrid based on smoothed aggregation
cites work: Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
cites work: Q4217204
DOI: 10.1016/J.APNUM.2007.11.008
description: scientific article; zbMATH DE number 5366005