On the relation between the convergence factors of additive and multiplicative Schwarz method (Q687960)
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scientific article; zbMATH DE number 436792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the relation between the convergence factors of additive and multiplicative Schwarz method |
scientific article; zbMATH DE number 436792 |
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On the relation between the convergence factors of additive and multiplicative Schwarz method (English)
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22 January 1995
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Let \(\rho_ M\) and \(\rho_ A\) be the convergence factors of the multiplicative and the additive Schwarz method, respectively. The author proves \(\rho_ M = (2 \rho_ A - 1)^ 2\) in the case of two subdomains and \(\rho_ M \leq (3 \rho_ A - 1)/2\) in the case of three subdomains.
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multiplicative Schwarz method
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domain decomposition
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finite elements
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orthogonal projection
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elliptic equation
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Schwarz iteration
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convergence factors
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additive Schwarz method
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