Convergence of a substructuring method with Lagrange multipliers (Q1923299)
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scientific article; zbMATH DE number 932025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of a substructuring method with Lagrange multipliers |
scientific article; zbMATH DE number 932025 |
Statements
Convergence of a substructuring method with Lagrange multipliers (English)
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8 January 1998
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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.
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Lagrange multipliers
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substructuring iterative method
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convergence
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finite element
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preconditioning
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condition number
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