Fourier analysis of Schwarz alternating methods for piecewise Hermite bicubic orthogonal spline collocation (Q1317865)

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scientific article; zbMATH DE number 536864
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Fourier analysis of Schwarz alternating methods for piecewise Hermite bicubic orthogonal spline collocation
scientific article; zbMATH DE number 536864

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    Fourier analysis of Schwarz alternating methods for piecewise Hermite bicubic orthogonal spline collocation (English)
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    31 July 1994
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    The rates of convergence of Schwarz alternating methods are estimated for the iterative solution of a discrete problem which arises when orthogonal spline collocation with piecewise Hermite bicubics is applied to the Dirichlet problem for Poisson's equation on a rectangle. Numerical experiments illustrate the theoretical results.
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    numerical experiments
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    Fourier analysis
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    convergence
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    Schwarz alternating methods
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    orthogonal spline collocation
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    piecewise Hermite bicubics
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    Dirichlet problem
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    Poisson's equation
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