Convergence analysis of multigrid methods with residual scaling techniques (Q984900)
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scientific article; zbMATH DE number 5758051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of multigrid methods with residual scaling techniques |
scientific article; zbMATH DE number 5758051 |
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Convergence analysis of multigrid methods with residual scaling techniques (English)
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20 July 2010
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Multigrid methods with an overweight of the coarse-grid correction for symmetric positive definite linear equations are considered. The W-cycle is analysed as a perturbed 2-grid method. This concept is much older than the standard reference given here. If the convergence rate of the 2-grid method is \(\sigma < 1/2\), then the convergence rate of the W-cycle is bounded by \(\sigma/(1-\sigma)\) under some technical assumptions.
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multigrid method
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W-cycle
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perturbed 2-grid
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convergence rate
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residual scaling
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0.92262655
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0.92142326
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0.9168922
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0.9113194
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0.90919864
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0.9062717
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0.90420413
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