Optimized Multiplicative, Additive, and Restricted Additive Schwarz Preconditioning

Authors:
A. St-Cyr;M. J. Gander;S. J. Thomas
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2007

Citing 0
Cited 7

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A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps

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Efficient parallel implementation of the fully algebraic multiplicative Aitken-RAS preconditioning technique

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Reprint of Efficient parallel implementation of the fully algebraic multiplicative Aitken-RAS preconditioning technique

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Abstract

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.