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Convergence of a Substructuring Method with LaGrange MultipliersWe analyze the convergence of a substructuring iterative method with Lagrange multipliers, proposed recently by Farhat and Roux. The method decomposes finite element discretization of an elliptic boundary value problem into Neumann problems on the subdomains and a coarse problem for the subdomain nullspace components. For linear conforming elements and preconditioning by the Dirichlet problems on the subdomains, we prove the asymptotic bound on the condition number C(1 + log(H/h))(sup gamma), gamma = 2 or 3, where h is the characteristic element size and H is the subdomain size.
Document ID
19970006602
Acquisition Source
Langley Research Center
Document Type
Conference Paper
Authors
Mandel, Jan
(Colorado Univ. Denver, CO United States)
Tezaur, Radek
(Colorado Univ. Denver, CO United States)
Date Acquired
August 17, 2013
Publication Date
September 1, 1996
Publication Information
Publication: Seventh Copper Mountain Conference on Multigrid Methods
Subject Category
Numerical Analysis
Accession Number
97N13531
Funding Number(s)
CONTRACT_GRANT: NSF ASC-91-21431
CONTRACT_GRANT: NSF ASC-92-17394
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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