Effects of grid irregularity on iterative methods
type: Item
instance of: scholarly article
title: Effects of grid irregularity on iterative methods
zbMATH Open document ID: 0627.65106
DOI: 10.1016/0893-9659(88)90169-3
author: B. George
published in: Applied Mathematics Letters
publication date: 1988-01-01T00:00:00Z
review text: Iterative methods such as successive overrelaxation have been a powerful technique for solving algebraic systems arising from discretization of elliptic partial differential equations. Their use has largely been confined to finite difference approximations on uniform grids. In this note we demonstrate that grid irregularities have deleterious effects on the convergence of these methods.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65L50
zbMATH DE Number: 4020394
zbMATH Keywords: Laplace's equation
zbMATH Keywords: successive overrelaxation
zbMATH Keywords: grid irregularities
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: 0893-9659(88)90169-3
OpenAlex ID: W2054817139
cites work: On local relaxation methods and their application to convection-diffusion equations
Wikidata QID: Q127525728
Recommended article: Q3823061
Recommended article: The effect of grid irregularity on truncation error for discretizations of Laplaces's equation
Recommended article: Effect of Nonuniform Grids on High-Order Finite Difference Method
Recommended article: Effects of grid staggering on numerical schemes
Recommended article: The convergence behaviour of iterative methods on severely stretched grids
Recommended article: Q3814717
Recommended article: Q3831989
Recommended article: Q3759836
Recommended article: Q3793660
Recommended article: Q3509820
description: scientific article; zbMATH DE number 4020394