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计算数学  1991 

The parallel Direct Method on MIMD Computer for Finite Element Structure Analysis
有限元结构分析在MIMD计算机上的并行直接解法

Keywords: 有限元,结构分析,并行直接解法

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Abstract:

In this paper the parallel direct method on multiprocessors with local memoryis considered for finite element structure analysis. In §2 parallel computing of anelement stiffness matrix and an assembly of the global stiffness matrix is descrbed.In §3 two direct algorithms are given for banded linear systems with variable bandwidth in which the coefficients are stored by row-wise interleaving storage or column-wise interleaving storage and data exchange bctween processors by pipelinetransmition. In §4 an upper-bound of the number of processors related the halfbandwidth of the matrix and corresponding optimal parallel efficiency are givenFinally, a numerical example on hypercube architecture computer ipsc-2 is provided.

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