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Convergence of a substructuring method with Lagrange multipliers (1996)

Mandel, Jan ; Tezaur, Radek

Springer

Numerische Mathematik 73 (1996), S. 473-487

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Details

ISSN: 0945-3245

Schlagwort(e): Mathematics Subject Classification (1991):65N30

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/s002110050201

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