| 结构的多机并行分析I——结构的并行有限元方法 |
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| 引用本文： | 朱金福,乔新. 结构的多机并行分析I——结构的并行有限元方法[J]. 计算力学学报, 1991, 8(4) |
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| 作者姓名： | 朱金福 乔新 |
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| 作者单位： | 南京航空学院飞机系(朱金福)，南京航空学院飞机系(乔新) |
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| 摘 要： | 本文详细分析和讨论了结构分析的并行有限元方法—并行预处理共轭梯度法(以下简称PPCG法)。着重讨论了基于自带存储器的多处理机系统的并行预处理算法问题,并由此提出了两种PPCG法:PPCG1和PPCG2法。这两种方法适用于以单道剖分(one-way dissection)的子结构法为基础的并行分析。由于这种剖分法产生的结构刚度矩阵具有箭头形状,可独立地消除各子结构的内部自由度,并且不会在刚度矩阵中产生新的非零元素,因此很适合具有较多处理机的并行机系统对复杂结构进行的并行分析。
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| 关 键 词： | 多处理机系统 同步 通讯通道 共轭梯度法 子结构法 |
Parallel Analysis of Structures on Multiprocessors I-Parallel FEM of Structures |
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| Zhu Jinfu,Qiao Xin. Parallel Analysis of Structures on Multiprocessors I-Parallel FEM of Structures[J]. Chinese Journal of Computational Mechanics, 1991, 8(4) |
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| Authors: | Zhu Jinfu Qiao Xin |
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| Abstract: | The parallel FEM of structure analysis--parallel preconditioned conjugategradient method, simply PPCG--is analyzed and discussed in detail. Parallel preconditioning algorithm based on multiprocessor systems with local memory is stressed, so that two kinds of PPCG. PPCG1 and PPCG2 are proposed. The two kinds of PPCG are suitable to parallel analysis using substructure strategy with one-way dissection. The stiffness matrix of structure decomposed by-one-way dissection is of arrow shape, therefore the interior DOFs of every substructure can be condensed without fill-in. The methods can be applied to analyze the complex structures by parallel computers with relatively more processors. |
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| Keywords: | multiprocessor systems synchronization communication channel conjugate gradient method substructure strategy |
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