| 几类典型网格下三维弹性问题的代数多层网格法 |
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| 引用本文： | 肖映雄,周志阳,舒适.几类典型网格下三维弹性问题的代数多层网格法[J].工程力学,2011(6):11-18. |
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| 作者姓名： | 肖映雄 周志阳 舒适 |
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| 作者单位： | 湘潭大学土木工程与力学学院;湘潭大学数学与计算科学学院; |
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| 基金项目： | 国家自然科学基金项目(10972191);国家自然科学基金重点项目(11031006); 湖南省高校科技创新团队支持计划资助项目; 湖南省教育厅优秀青年项目(09B100) |
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| 摘 要： | 有限元方法是数值求解三维弹性问题的一类重要的离散化方法.在有限元分析中,网格的几何形状及网格质量会对有限元离散代数系统的求解产生很大影响.该文系统研究了几类典型网格对几种常用AMG法计算效率的影响,并进行了详细的性能测试与比较.利用容易获知的部分几何与分析信息(如方程类型,节点自由度信息),再结合经典AMG法中的网格粗...
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| 关 键 词： | 三维弹性问题 代数多层网格法 各向异性网格 自适应网格 预处理 |
ALGEBRAIC MULTIGRID METHODS FOR 3D LINEAR ELASTICITY PROBLEMS ON SOME TYPICAL MESHES |
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| XIAO Ying-xiong,ZHOU Zhi-yang,SHU Shi.ALGEBRAIC MULTIGRID METHODS FOR 3D LINEAR ELASTICITY PROBLEMS ON SOME TYPICAL MESHES[J].Engineering Mechanics,2011(6):11-18. |
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| Authors: | XIAO Ying-xiong ZHOU Zhi-yang SHU Shi |
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| Affiliation: | XIAO Ying-xiong1,2,ZHOU Zhi-yang2,SHU Shi2(1.Civil Engineering and Mechanics College,Xiangtan University,Xiangtan,Hunan 411105,China,2.School of Mathematics and Computational Science,China) |
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| Abstract: | Finite element method is one of the most efficient numerical methods for the solution of three-dimensional elasticity problems.In practice,the mesh geometry and mesh quality may have a great effect on the algebraic solvers.In this work,we have presented some numerical studies for evaluating the effectiveness of several commonly used algebraic multigrid(AMG) methods on some typical meshes.We can obtain much more robust and efficient AMG iteration by using the known information that is readily available in mo... |
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| Keywords: | 3D elasticity problems algebraic multi-grid anisotropic mesh adaptive mesh preconditioning |
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