| 代数多重网格法在岩体力学有限元分析中的应用 |
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| 引用本文： | 谢学斌,肖映雄,潘长良,舒适.代数多重网格法在岩体力学有限元分析中的应用[J].工程力学,2005,22(5):165-170. |
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| 作者姓名： | 谢学斌 肖映雄 潘长良 舒适 |
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| 作者单位： | 中南大学资源与安全工程学院,湖南长沙410083;湘潭大学基础力学与材料工程研究所,湖南,湘潭,411105;湘潭大学计算与应用数学研究所,湖南湘潭411105 |
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| 摘 要： | 代数多重网格法具有存贮量小、收敛精度高和计算时间少等优点,将代数多重网格方法引入到岩体力学有限元计算领域,论述了基于单元聚集和能量极小意义下适于岩体力学有限元求解的代数多重网格粗化策略与插值算子,并详细描述了相应的代数多重网格算法。数值试验表明:在岩体力学与工程问题的有限元数值计算中,代数多重网格求解法是高效的、适用的,较直接法和其他常用迭代方法具有明显的优越性。
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| 关 键 词： | 岩体力学 有限元分析 代数多重网格法 粗化技术 插值算子 |
| 文章编号： | 1000-4750（2005）05-0165-06 |
| 收稿时间： | 2003-09-11 |
| 修稿时间： | 2003-09-112003-12-29 |
APPLICATION OF ALGEBRAIC MULTIGRID METHOD IN FINITE ELEMENT ANALYSIS OF ROCK MECHANICS |
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| XIE Xue-bin,XIAO Ying-xiong,PAN Chang-liang,SHU Shi.APPLICATION OF ALGEBRAIC MULTIGRID METHOD IN FINITE ELEMENT ANALYSIS OF ROCK MECHANICS[J].Engineering Mechanics,2005,22(5):165-170. |
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| Authors: | XIE Xue-bin XIAO Ying-xiong PAN Chang-liang SHU Shi |
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| Abstract: | The algebraic multigrid method is characterized by rapid convergence,high computational efficiency and less computer memory requirement.The algebraic multigrid method is applied to finite element analysis of rock mechanics and engineering.The coarse-grid selection method and interpolation operator based on element agglomeration and energy optimization,which are suitable for linear equations of finite element method of geomechanics,are discussed.Numerical tests show that the algebraic multigrid algorithm is robust when used in finite element analysis of rock mechanics and engineering.It has higher numerical efficiency than the direct method and other iterative methods for solving linear equations. |
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| Keywords: | rock mechanics finite element analysis algebraic multigrid method coarsening technique interpolation operator |
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