| 基于粗细网格的有限元并行分析方法 |
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| 引用本文： | 付朝江,张武. 基于粗细网格的有限元并行分析方法[J]. 岩土力学, 2006, 27(5): 807-810 |
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| 作者姓名： | 付朝江 张武 |
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| 作者单位： | 1.南昌大学 建筑工程学院，南昌330029；2.上海大学 计算机工程与科学学院，上海 200072 |
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| 摘 要： | 并行计算己成为求解大规模岩土工程问题的一种强大趋势。探讨了粗细网格与预处理共轭梯度法结合的并行有限元算法。从多重网格刚度矩阵推得有效的预处理子。该算法在工作站机群上实现。用地基处理时土体强夯的数值模拟分析进行了数值测试，对其并行性能进行了详细分析。计算结果表明：该算法具有良好的并行加速比和效率，是一种有效的并行算法。
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| 关 键 词： | 有限元 并行计算 共轭梯度 多重网格 岩土工程 |
| 文章编号： | 1000-7598-（2006）05-0807-04 |
| 收稿时间： | 2004-09-07 |
| 修稿时间： | 2005-04-20 |
Parallel finite element analytical method based on coarse-fine mesh formulation |
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| FU Chao-jiang,ZHANG Wu. Parallel finite element analytical method based on coarse-fine mesh formulation[J]. Rock and Soil Mechanics, 2006, 27(5): 807-810 |
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| Authors: | FU Chao-jiang ZHANG Wu |
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| Affiliation: | 1.School of Architectural Engineering, Nanchang University, Nanchang 330029, China; 2.School of Computer Engineering and Science, Shanghai University, Shanghai 200072, China |
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| Abstract: | Parallel computing is becoming the strong trend of solving large scale geotechnical problems. A parallel preconditioned conjugate gradient iterativ.e algorithm for finite element problems with coarse-mesh/fine-mesh formulation is discussed, An efficient preconditioner is derived from the multigrid stiffness matrix, The algorithm is implemented on a workstation cluster. Numerical example of solution of soils after the dynamic compaction is presented and the parallel performance is analyzed. The results show high speedup and efficiency. The algorithm is efficient for parallel computing. |
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| Keywords: | finite element parallel computing conjugate gradient multigrid geotechnical engineering |
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