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THE OPTIMIZED SCHWARZ METHOD WITH A COARSE GRID CORRECTION
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DOI：10.1137/090774434.png)
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Abstract
En 中文
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.
Keywords:
domain decomposition
optimized Schwarz method
partial differential equation
iterative solver
coarse grid correction
two-level method
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