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The contraction number of a multigrid method with mesh ratio two for solving model problems - MaRDI portal

The contraction number of a multigrid method with mesh ratio two for solving model problems (Q1087322)

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scientific article; zbMATH DE number 3988650
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The contraction number of a multigrid method with mesh ratio two for solving model problems
scientific article; zbMATH DE number 3988650

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    The contraction number of a multigrid method with mesh ratio two for solving model problems (English)
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    1986
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    A multigrid algorithm with mesh ratio 2 for solving the Poisson equation is analyzed. Specifically \textit{R. Verfürth}'s algorithm [ibid. 60, 113- 128 (1984; Zbl 0548.65074)] is treated by Fourier methods. In this framework, the authors obtain estimates of the convergence rates for the rectangle which are better than Verfürth's results for arbitrary convex domains.
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    contraction number
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    multigrid
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    Poisson equation
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    Fourier methods
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    convergence rates
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