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Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients - MaRDI portal

Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients (Q2878947)

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scientific article; zbMATH DE number 6340636
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English
Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients
scientific article; zbMATH DE number 6340636

    Statements

    5 September 2014
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    multigrid
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    regularity-free
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    finite differences
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    second-order elliptic boundary value problems
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    convergence
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    Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients (English)
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    Convergence bounds for a multigrid method for a finite difference discretization of elliptic self-adjoint second-order elliptic partial differential equations are given, using the regularity-free approach of \textit{J. H. Bramble} et al. [Math. Comput. 57, No. 195, 23--45 (1991; Zbl 0727.65101)]. An implementation is described and the convergence is illustrated computationally on an L-shaped domain.
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