An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection-diffusion problems.
type: Item
instance of: scholarly article
title: An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection-diffusion problems.
zbMATH Open document ID: 1033.65111
DOI: 10.1016/S0377-0427(03)00447-3
author: Guillaume Houzeaux
author: Ramon Codina
published in: Journal of Computational and Applied Mathematics
publication date: 2003-10-15T00:00:00Z
review text: The authors present an overlapping Dirichlet/Robin domain decomposition method. They use Dirichlet and Robin transmission conditions on the interfaces of an overlapping partitioning of the computational domain. Interface conditions are derived to study the convergence of the method. Some properties are given through four numerical examples (skew advection, normal and tangential advection, curved advection and finally rotating advection). A general mathematical framework is also provided with the possibility of being applicable to derive overlapping versions of all the classical nonoverlapping methods.
reviewed by: X. Antoine
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 1993215
zbMATH Keywords: overlapping Dirichlet/Robin domain decomposition method
zbMATH Keywords: convergence
zbMATH Keywords: finite elements
zbMATH Keywords: numerical examples
Wikidata QID: Q61731357
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1993215