On the condition number of some spectral collocation operators and their finite element preconditioning (Q1892128)
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scientific article; zbMATH DE number 762048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the condition number of some spectral collocation operators and their finite element preconditioning |
scientific article; zbMATH DE number 762048 |
Statements
On the condition number of some spectral collocation operators and their finite element preconditioning (English)
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15 October 1995
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Spectral collocation approximations based on Legendre-Gauss-Lobatto nodes are considered. The collocation method is written in the weak formulation of the differential problem. Numerical approximations to first- and second-order operators are investigated. A finite element preconditioner for second-order problems is proposed. Several numerical results concerning the condition number of the preconditioned spectral matrices and the application to conjugate gradient iterations are given.
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spectral collocation
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finite element
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preconditioner
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numerical results
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condition number
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spectral matrices
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conjugate gradient iterations
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