The influence of interface conditions on convergence of Krylov-Schwarz domain decomposition for the advection-diffusion equation
type: Item
instance of: scholarly article
title: The influence of interface conditions on convergence of Krylov-Schwarz domain decomposition for the advection-diffusion equation
zbMATH Open document ID: 0943.65148
DOI: 10.1023/A:1025602319278
author: Erik Brakkee
author: Peter Wilders
published in: Journal of Scientific Computing
publication date: 1998-06-08T00:00:00Z
review text: The authors review and compare several variants of the Schwarz domain decomposition method for solution of the system of linear equations arising from finite volume discretization of the 2-D advection-diffusion equation. In particular, the Schwarz-Schwarz, Neumann-Schwarz, Robin-Schwarz and Neumann-Dirichlet methods are considered together with Krylov space acceleration. The performance of the algorithms is compared on the solution of a model problem and the results are compared with the theory.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65Y20
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1160524
zbMATH Keywords: interface conditions
zbMATH Keywords: Krylov-Schwarz domain decomposition
zbMATH Keywords: numerical example
zbMATH Keywords: comparison of methods
zbMATH Keywords: Schwarz-Schwarz method
zbMATH Keywords: Neumann-Schwarz method
zbMATH Keywords: Robin-Schwarz method
zbMATH Keywords: advection-diffusion equation
zbMATH Keywords: Krylov space acceleration
zbMATH Keywords: performance
zbMATH Keywords: algorithms
reviewed by: Z. Dostál
MaRDI profile type: Publication
full work available at URL: a:1025602319278
OpenAlex ID: W1597740508
description: scientific article; zbMATH DE number 1160524