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分布式存储环境下的加性Schwarz方法
引用本文:李宏伟. 分布式存储环境下的加性Schwarz方法[J]. 数值计算与计算机应用, 2004, 25(1): 36-47
作者姓名:李宏伟
作者单位:中科院软件所并行软件研究开发中心,北京,100080
摘    要:
引言 区域分裂方法起源于古老的schwarz交替方法[l].八十年代末期,法国数学家P.L.LionS提出了schwarz交替方法的投影解释[2一4],使得人们对schwarz交替方法有了全新的认识,为其进一步发展奠定了理论基础.由于并行计算环境的逐渐成熟以及预处理技术的兴起和大规模科学计算的需要,由严格串行的scliwarz交替方法发展了多种可完全并行的

修稿时间:2002-10-31

OVERLAPPING ADDITIVE SCHWARZ METHODS FOR DISTRIBUTED MEMORY MACHINES
Li Hongwei. OVERLAPPING ADDITIVE SCHWARZ METHODS FOR DISTRIBUTED MEMORY MACHINES[J]. Journal on Numerical Methods and Computer Applications, 2004, 25(1): 36-47
Authors:Li Hongwei
Abstract:
From the viewpoint of distributed memory and parallel computing, the overlapping additive methods, such as AS (classical additive Shcwarz), RAS (restricted additive Schwarz) and PAS (parallel additive Schwarz) were inspected again. And a new kind of additive method, called "Distributed Additive Schwarz Method" (DAS), was proposed and analyzed. Numerical experiments showed that DAS was more efficient than other additive methods in terms of iteration number and iteration time.
Keywords:parallel computing   domain decomposition   additive Schwarz   distributed memory  
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