| 基于单元级矩阵分解的EBE-PCG算法及其在网络机群并行环境上的实现 |
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| 引用本文： | 叶明.基于单元级矩阵分解的EBE-PCG算法及其在网络机群并行环境上的实现[J].淮阴师范学院学报(自然科学版),2003,2(4):321-325. |
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| 作者姓名： | 叶明 |
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| 作者单位： | 常熟高等专科学校,数学系,江苏,常熟,215500 |
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| 摘 要： | 基于EBE策略，讨论求解大型线性方程组CG方法及PCG方法的并行计算．在不显式形成总刚度阵的情况下利用单元级矩阵的Cholesky分解构造总刚度阵的近似，形成预条件矩阵，提出了求解大型线性方程组的EBE—PCG并行算法，并讨论了算法在网络机群(COW)并行计算环境下的实现．结合实际算例，对EBE-PCG并行算法进行了并行效率分析．结果表明基于单元级Cholesky分解的EBE—PCG算法具有很好的并行效率，是一种适合网络机群并行环境的高效并行算法．
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| 关 键 词： | EBE策略 有限元分析 PCG法 并行计算 |
| 文章编号： | 1671-6876(2003)04-0321-05 |
| 修稿时间： | 2003年6月18日 |
An EBE-PCG Parallel Algorithm with the Preconditioning Technique Based on the Matrix Cholesky Factorization at Element Level |
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| YE Ming.An EBE-PCG Parallel Algorithm with the Preconditioning Technique Based on the Matrix Cholesky Factorization at Element Level[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2003,2(4):321-325. |
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| Authors: | YE Ming |
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| Abstract: | Based on the EBE strategy, a parallel implementation of PCG method for solving large scale structural systems was given. Without the formation of the system stiffness matrix, its approximate cholesky factorization was obtained. The preconditioner was suitable for the EBE technique. In the COW parallel environment, a structural analysis problem was solved by using this EBE-PCG algorithm and its parallel efficiency was discussed . The results showed that the algorithm had a high parallel efficiency suitable for the COW parallel environment. |
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| Keywords: | EBE strategy finite element analysis PCG method parallel computing |
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