A posteriori error estimates for the generalized overlapping domain decomposition methods
type: Item
instance of: scholarly article
title: A posteriori error estimates for the generalized overlapping domain decomposition methods
zbMATH Open document ID: 1264.65202
DOI: 10.1155/2012/947085
author: Hakima Benlarbi
author: Ahmed-Salah Chibi
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: A posteriori error estimates for the generalized overlapping domain decomposition method (GODDM) (i.e., with Robin boundary conditions on the interfaces), for second order boundary value problems, are derived. We show that the error estimate in the continuous case depends on the differences of the traces of the subdomain solutions on the interfaces. After discretization of the domain by finite elements we use the techniques of the residual a posteriori error analysis to get an a posteriori error estimate for the discrete solutions on subdomains. The results of some numerical experiments are presented to support the theory.
Mathematics Subject Classification ID: 65N55
zbMATH DE Number: 6170017
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/947085
OpenAlex ID: W2119792553
Wikidata QID: Q58906985
cites work: An accelerated domain decomposition procedure based on Robin transmission conditions
cites work: Q4499680
cites work: Q3806726
cites work: Geometry Related Convergence Results for Domain Decomposition Algorithms
cites work: Q4254887
cites work: Q4825126
cites work: Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media
cites work: Q5486914
cites work: Construction and Analysis of Optimal Hierarchic Models of Boundary Value Problems on Thin Circular and Spherical Geometries
cites work: Q4886148
cites work: A posteriori estimates for a non-overlapping domain decomposition method
cites work: A posteriori error analysis for two non-overlapping domain decomposition techniques
description: scientific article; zbMATH DE number 6170017