An algebraic multilevel iteration method for finite element matrices
type: Item
instance of: scholarly article
title: An algebraic multilevel iteration method for finite element matrices
zbMATH Open document ID: 0941.65036
DOI: 10.1016/S0377-0427(97)00241-0
author: Owe Axelsson
author: M. R. Larin
published in: Journal of Computational and Applied Mathematics
publication date: 1998-07-28T00:00:00Z
review text: An extension of the results of \textit{O. Axelsson} and \textit{V. Eijkhout} [SIAM J. Sci. Stat. Comput. 12, No. 6, 1379-1400 (1991; Zbl 0738.65019)] and of \textit{O. Axelsson} and \textit{L. Kolotilina} [Numer. Linear Algebra Appl. 1, No. 2, 155-177 (1994; Zbl 0837.65023)] is presented with convergence and complexity analysis. Computer experiments indicate nearly optimal order of complexity and rate of convergence for the given problem.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65Y20
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 1180789
zbMATH Keywords: algebraic multilevel iteration method
zbMATH Keywords: finite element
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
zbMATH Keywords: complexity
reviewed by: Aurél Galántai
MaRDI profile type: Publication
cites work: The method of diagonal compensation of reduced matrix entries and multilevel iteration
cites work: The Nested Recursive Two-Level Factorization Method for Nine-Point Difference Matrices
cites work: Diagonally compensated reduction and related preconditioning methods
cites work: Algebraic multilevel iteration method for Stieltjes matrices
cites work: Algebraic multilevel preconditioning methods. I
cites work: Algebraic Multilevel Preconditioning Methods, II
cites work: An incomplete-factorization preconditioning using repeated red-black ordering
cites work: Q3254327
cites work: Q4697799
cites work: Q4836729
cites work: Hybrid V-Cycle Algebraic Multilevel Preconditioners
description: scientific article; zbMATH DE number 1180789