The optimized Schwarz method with a coarse grid correction (Q2882795)
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scientific article; zbMATH DE number 6031502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The optimized Schwarz method with a coarse grid correction |
scientific article; zbMATH DE number 6031502 |
Statements
7 May 2012
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domain decomposition
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optimized Schwarz method
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iterative solver
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coarse grid correction
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two-level method
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Robin transmission conditions
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convergence
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numerical experiments
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preconditioner
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The optimized Schwarz method with a coarse grid correction (English)
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Optimized Schwarz methods (OSMs) use Robin transmission conditions across the subdomain interfaces. The Robin parameter can then be optimized to obtain the fastest convergence. A new formulation is presented with a coarse grid correction. The optimal parameter is computed for a model problem on a cylinder, together with the corresponding convergence factor which is smaller than that of classical Schwarz methods. A new coarse space is presented, suitable for OSM. Numerical experiments illustrating the effectiveness of OSM with a coarse grid correction, both as an iteration and as a preconditioner, are reported.
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