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
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of multigrid algorithms to finite difference schemes for elliptic equations with variable coefficients |
scientific article; zbMATH DE number 6340636 |
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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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