Preconditioning Legendre spectral collocation methods for elliptic problems. II: Finite element operators (Q2719211)

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scientific article; zbMATH DE number 1608874
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Preconditioning Legendre spectral collocation methods for elliptic problems. II: Finite element operators
scientific article; zbMATH DE number 1608874

    Statements

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    21 June 2001
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    Legendre spectral collocation
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    Legendre-Gauss-Lobatto quadrature
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    bilinear finite elements
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    eigenvalues
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    preconditioning
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    Preconditioning Legendre spectral collocation methods for elliptic problems. II: Finite element operators (English)
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    This paper continues the research of the author on preconditioning of the Legendre-collocation method started in the first part [ibid. 39, No. 1, 330-347 (2001; reviewed above)]. Here, using the same techniques as in the first part but considering a preconditioning by bilinear finite elements (with knots at the Gauss-Lobatto points), the author obtains the same theoretically results.
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