Iterative domain decomposition algorithms for a convection-diffusion problem
type: Item
instance of: scholarly article
title: Iterative domain decomposition algorithms for a convection-diffusion problem
zbMATH Open document ID: 1066.65140
DOI: 10.1016/S0898-1221(04)90041-7
publication date: 2005-03-08T00:00:00Z
review text: An iterative domain decomposition procedure is constructed for stationary convection-diffusion problems in two dimensions, discretized with finite difference methods. A convergence analysis is given. Simple numerical results for a model problem with constant convection field indicate that the convergence rate is independent of the diffusion coefficient and the mesh size, but it depends on the number of subdomains. Only a few references to the large available literature on the subject are given.
reviewed by: L. F. Pavarino
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 2142322
zbMATH Keywords: singularly perturbation
zbMATH Keywords: convection-diffusion problem
zbMATH Keywords: domain decomposition methods
zbMATH Keywords: parallel computing
zbMATH Keywords: finite difference methods
zbMATH Keywords: convergence
zbMATH Keywords: numerical results
author: Igor Boglaev
author: Vic Duoba
MaRDI profile type: Publication
cites work: Uniform Convergence of the Schwarz Alternating Method for Solving Singularly Perturbed Advection-Diffusion Equations
cites work: Q4486278
cites work: A Schwarz Alternating Procedure for Singular Perturbation Problems
cites work: A Parallel Schwarz Method for a Convection-Diffusion Problem
cites work: A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
cites work: On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem
cites work: Parallel algorithms for a singularly perturbed parabolic problem
cites work: Q4453105
cites work: A note on the conditioning of upwind schemes on Shishkin meshes
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2142322