Asynchronous multisplitting methods for nonlinear fixed point problems

被引:35
作者
Bahi, J
Miellou, JC
Rhofir, K
机构
[1] IUT Belfort Montbeliard, UMR 6623, Lab Calcul Sci Besancon, F-90016 Belfort, France
[2] Lab Calcul Sci Besancon, UMR 6623, F-25030 Besancon, France
关键词
asynchronous algorithms; multisplitting methods; nonlinear problems;
D O I
10.1023/A:1019158207224
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:315 / 345
页数:31
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