Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients
type: Item
instance of: scholarly article
zbMATH Open document ID: 1321.65182
DOI: 10.1137/13091823X
published in: SIAM Journal on Scientific Computing
publication date: 2014-09-05T00:00:00Z
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 6340636
zbMATH Keywords: multigrid
zbMATH Keywords: regularity-free
zbMATH Keywords: finite differences
zbMATH Keywords: second-order elliptic boundary value problems
zbMATH Keywords: convergence
author: Rong-Qing Jia
MaRDI profile type: Publication
full work available at URL: 13091823x
OpenAlex ID: W1969159136
title: Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients
review text: Convergence bounds for a multigrid method for a finite difference discretization of elliptic self-adjoint second-order elliptic partial differential equations are given, using the regularity-free approach of \textit{J. H. Bramble} et al. [Math. Comput. 57, No. 195, 23--45 (1991; Zbl 0727.65101)]. An implementation is described and the convergence is illustrated computationally on an L-shaped domain.
reviewed by: Jan Mandel
description: scientific article; zbMATH DE number 6340636