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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 73 (1996), S. 473-487 
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991):65N30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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 $C (1+\log (H/h))^\gamma$ , $\gamma=2$ or $3$ ,where $h$ is the characteristic element size and $H$ subdomain size.
    Type of Medium: Electronic Resource
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