Convergence of a substructuring method
with Lagrange multipliers |
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Authors: | Jan Mandel Radek Tezaur |
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Institution: | (1) Center for Computational Mathematics, University of Colorado at Denver, Denver, CO 80217-3364, USA , US |
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Abstract: | Summary.
We 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 plus 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
,
or ,where
is the characteristic element size and
subdomain size.
Received January 3, 1995 |
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Keywords: | Mathematics Subject Classification (1991):65N30 |
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