A Variant Restricted Additive Schwarz Preconditioner and Application in Two-dimensional Three-temperature Energy Equations

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2008, Vol. 25 ›› Issue (6): 649-658.

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A Variant Restricted Additive Schwarz Preconditioner and Application in Two-dimensional Three-temperature Energy Equations

CAO Yanhua^1,2, Liu Xingping², GU Tongxiang²

1. North China Electric Power University, Department of Mathematics and Physics, Beijing 102206, China;
2. LCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2007-06-21 Revised:2007-12-09 Online:2008-11-25 Published:2008-11-25
Supported by:
the National Natural Science Foundation of China(granted No.10571017,10701015,60373015 and 60533020);National Basic Research Program of China(granted No.2005CB221300)

Abstract

Abstract: We present a variant restricted Additive Schwarz preconditioner and apply Partial-Newton-Krylov-Schwarz algorithm to solve nonlinear algebraic equations of two-dimensional three-temperature systems. Iteration and CPU time for convergence are decreased. Numerical results show efficiency of the method.

Key words: parallel implementation, preconditioner, iterative solution, additive Schwarz mesh methods, energy equations

CLC Number:

O242

CAO Yanhua, Liu Xingping, GU Tongxiang. A Variant Restricted Additive Schwarz Preconditioner and Application in Two-dimensional Three-temperature Energy Equations[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 25(6): 649-658.

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A Variant Restricted Additive Schwarz Preconditioner and Application in Two-dimensional Three-temperature Energy Equations

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