A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems
type: Item
instance of: scholarly article
title: A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems
zbMATH Open document ID: 0916.65113
DOI: 10.1023/A:1019133818553
author: Magne S. Espedal
author: Xue-Cheng Tai
author: Ningning Yan
published in: Numerical Algorithms
publication date: 1999-03-22T00:00:00Z
review text: The authors consider two nonoverlapping domain decomposition schemes for advection dominated, advection-diffusion problems. In each subdomain, artificial boundary conditions are used on the inflow and outflow boundaries. If the data are smooth, each subdomain problem only needs to be solved once. In case there are closed streamlines, an iterative algorithm is needed and its convergence is proved. The time-dependent convection diffusion problem is also taken into account. Some numerical experiments confirm the fact that the considered algorithms are suitable for problems with small diffusion parameter.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 1268412
zbMATH Keywords: error analysis
zbMATH Keywords: domain decomposition
zbMATH Keywords: advection-diffusion problems
zbMATH Keywords: iterative algorithm
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiments
zbMATH Keywords: algorithms
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1268412