Asynchronous multisplitting methods for nonlinear fixed point problems

J Bahi, JC Miellou, K Rhofir - Numerical Algorithms, 1997 - Springer
J Bahi, JC Miellou, K Rhofir
Numerical Algorithms, 1997Springer
Our aim is to present for nonlinear problems asynchronous multisplitting algorithms
including both the basic situation of O'Leary and White and the discrete analogue of
Schwarz's alternating method and its multisubdomain extensions and moreover their two-
stage counterparts. The analysis of these methods is based on El Tarazi's convergence
theorem for asynchronous iterations and leads to a good level of asynchronism in each of
the considered situations.
Abstract
Our aim is to present for nonlinear problems asynchronous multisplitting algorithms including both the basic situation of O'Leary and White and the discrete analogue of Schwarz's alternating method and its multisubdomain extensions and moreover their two-stage counterparts. The analysis of these methods is based on El Tarazi’s convergence theorem for asynchronous iterations and leads to a good level of asynchronism in each of the considered situations.
Springer
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