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代数多重网格与多波前技术综合并行有限元分析方法
引用本文:王希诚,刘信力,吴宏宇.代数多重网格与多波前技术综合并行有限元分析方法[J].大连理工大学学报,2002,42(2):148-152.
作者姓名:王希诚  刘信力  吴宏宇
作者单位:大连理工大学,工程力学系,辽宁,大连,116024
基金项目:国家“九七三”计划资助项目 (G19990 3 2 80 5 ),国家自然科学基金资助项目 (5 97780 44 ),国家高性能计算基金资助项目(0 0 10 5 )
摘    要:提出一种新的有限元并行计算格式,将代数多重网格、块迭代与多波前技术综合用于有限元分析,具有不限制节点编号顺序、编程简单、存储量小和计算时间少的优点。并行程序是在国家高性能计算中心(北京)的曙光1000A上借助PVM(Parallel Virtual Machine)软件系统实现的,PVM系统用于处理各计算节点间的通信。考题显示出较高的并行加速比和效率。

关 键 词:并行处理  有限元法  区域分裂  代数多重网格  多波前技术  块迭代  有限元并行分析
文章编号:1000-8608(2002)02-0148-05

A new parallel scheme in conjunction with algebraic multigrid method and multifrontal technique
WANG Xi cheng,LIU Xin li,WU Hong yu.A new parallel scheme in conjunction with algebraic multigrid method and multifrontal technique[J].Journal of Dalian University of Technology,2002,42(2):148-152.
Authors:WANG Xi cheng  LIU Xin li  WU Hong yu
Abstract:This paper presents a new parallel scheme on finite element analysis, in which an algebraic multigrid algorithm in conjunction with block iteration technique and multifrontal technique is developed to solve finite matrix equations. This method has advantages such as numbering of the finite element mesh in an arbitrary manner, simply programming organization, smaller core requirements and shorter computation time. The parallel program is developed on Dawning Tiangchao 1000A parallel computer. The PVM(Parallel Virtual Machine) system is used to handle communications among processors. Numerical examples are given to demonstrate the speedup and the efficiency of this method.
Keywords:parallel processing  finite element method/domain decomposition  algebraic multigrid
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