Optimized multiplicative, additive, and restricted additive Schwarz preconditioning

We demonstrate that a small modification of the multiplicative, additive, and restricted additive Schwarz preconditioner at the algebraic level, motivated by optimized Schwarz methods defined at the continuous level, leads to a significant reduction in the iteration count of the iterative solver. Numerical experiments using finite difference and spectral element discretizations of the positive definite Helmholtz problem and an idealized climate simulation illustrate the effectiveness of the new approach.

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Copyright 2007 Society for Industrial and Applied Mathematics.
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Author St-Cyr, Amik
Gander, M.
Thomas, Stephen
Publisher UCAR/NCAR - Library
Publication Date 2007-10-17T00:00:00
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Topic Category geoscientificInformation
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Metadata Date 2023-08-18T18:27:32.627852
Metadata Record Identifier edu.ucar.opensky::articles:6201
Metadata Language eng; USA
Suggested Citation St-Cyr, Amik, Gander, M., Thomas, Stephen. (2007). Optimized multiplicative, additive, and restricted additive Schwarz preconditioning. UCAR/NCAR - Library. http://n2t.net/ark:/85065/d75h7gf4. Accessed 21 July 2025.

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