A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity (Q2706434)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity |
scientific article |
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19 March 2001
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domain decomposition
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Lagrange multipliers
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finite element tearing and interconnecting
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preconditioners
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elliptic systems
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finite elements
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numerical results
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saddle point problem
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Krylov subspace method
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condition number
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membrane
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A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity (English)
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A domain decomposition method with Lagrange multipliers for elliptic problems is considered by first reformulating the system of the finite element method as a saddle point problem with both primal and dual variables as unknowns. The resulting linear system is solved by means of block-structured preconditioners and a suitable Krylov subspace method. This approach enables the application of inexact subdomain solvers for the positive definite subproblems.NEWLINENEWLINENEWLINEIt is shown that the condition number of the preconditioned saddle-point problem is bounded independently of the number of subregions and depends only on the number of degrees of freedom of individual local subproblems. Numerical results are presented for a plane stress cantilever membrane problem.
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