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
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On the condition number of some spectral collocation operators and their finite element preconditioning
scientific article; zbMATH DE number 762048

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    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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