A Legendre spectral Galerkin method for the biharmonic Dirichlet problem (Q2706451)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Legendre spectral Galerkin method for the biharmonic Dirichlet problem |
scientific article |
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19 March 2001
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biharmonic Dirichlet problem
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spectral Galerkin method
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preconditioned conjugate gradient method
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Schur complement
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clamped-plate problem
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A Legendre spectral Galerkin method for the biharmonic Dirichlet problem (English)
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The authors consider the Dirichlet problem for the biharmonic equation on a square. They use a Galerkin method based on tensor products of Legendre polynomials for stress and displacement. The matrix equation is solved by using the Schur complement, with the solution of a clamped-plate problem as a preconditioner.
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