A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes.
type: Item
instance of: scholarly article
title: A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes.
zbMATH Open document ID: 1054.76059
DOI: 10.1016/S0045-7825(03)00369-4
author: A. R. Ansari
author: A. F. Hegarty
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2004-01-23T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N22
zbMATH DE Number: 2031316
zbMATH Keywords: Preconditioning
zbMATH Keywords: Iterative solvers
zbMATH Keywords: Shishkin meshes
zbMATH Keywords: Non-monotone methods
MaRDI profile type: Publication
cites work: A difference scheme on a non-uniform mesh for a differential equation with a small parameter in the highest derivative
cites work: Q4486278
cites work: Q4485828
cites work: Use of central‐difference operators for solution of singularly perturbed problems
cites work: Numerical methods on Shishkin meshes for linear convection-diffusion problems
cites work: Q4348514
cites work: Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
cites work: Q3126370
cites work: A class of first order factorization methods
cites work: Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers
cites work: A comparison of uniformly convergent difference schemes for two- dimensional convection diffusion problems
cites work: A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
cites work: Uniform superconvergence of a Galerkin finite element method on Shishkin-type meshes
cites work: Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
cites work: Q3928175
description: scientific article; zbMATH DE number 2031316