Error estimate for a stabilised domain decomposition method with nonmatching grids
type: Item
instance of: scholarly article
title: Error estimate for a stabilised domain decomposition method with nonmatching grids
zbMATH Open document ID: 0996.65112
author: Annalisa Buffa
published in: Numerische Mathematik
publication date: 2002-05-21T00:00:00Z
review text: The paper concerns a domain decomposition method for solving elliptic partial differential equations discretised by the finite element method with nonmatching grids. The author analyses a stabilization technique for so-called three-field formulation for nonoverlapping domain decomposition methods. The stabilization is based on boundary bubble functions in each subdomain which are then eliminated by static condensation. The discretization grids in the subdomains can be chosen independently as well as the grid for the final interface problem. An analysis of the method and a construction of the set of bubble functions which guarantees the optimal rate of convergence are also presented.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1742791
zbMATH Keywords: error bound
zbMATH Keywords: grid generation
zbMATH Keywords: domain decomposition method
zbMATH Keywords: finite element method
zbMATH Keywords: stabilization
zbMATH Keywords: convergence
reviewed by: Peter P. Matus
MaRDI profile type: Publication
full work available at URL: s002110100298
OpenAlex ID: W2030456787
Wikidata QID: Q58841965
DBLP publication ID: journals/nm/Buffa02
DOI: 10.1007/S002110100298
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description: scientific article; zbMATH DE number 1742791