Convergence of a substructuring method with Lagrange multipliers
type: Item
instance of: scholarly article
title: Convergence of a substructuring method with Lagrange multipliers
zbMATH Open document ID: 0880.65087
author: Jan Mandel
author: R. Tezaur
published in: Numerische Mathematik
publication date: 1998-01-08T00:00:00Z
review text: The convergence of a substructuring iterative method with Lagrange multipliers is analyzed. This method was recently proposed by \textit{C. Farhat} and \textit{F.-X. Roux} [Int. J. Numer. Methods Eng. 32, No. 6, 1205-1227 (1991; Zbl 0758.65075)]. The method decomposes finite element discretization of an elliptic boundary value problem into Neumann problems on the subdomains plus a coarse problem for the subdomain nullspace components. For linear conforming elements and preconditioning by the Dirichlet problems on the subdomains, an asymptotic bound on the condition number is derived.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 932025
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: substructuring iterative method
zbMATH Keywords: convergence
zbMATH Keywords: finite element
zbMATH Keywords: preconditioning
zbMATH Keywords: condition number
Wikidata QID: Q57863169
reviewed by: Wilhelm Heinrichs
MaRDI profile type: Publication
full work available at URL: s002110050201
OpenAlex ID: W3166595295
DOI: 10.1007/S002110050201
description: scientific article; zbMATH DE number 932025