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| 一类三维等代数结构面剖分下的代数多重网格算法 | |
| 引用本文： | 舒适,黄云清,阳莺,蔚喜军,肖映雄.一类三维等代数结构面剖分下的代数多重网格算法[J].计算物理,2005,22(6):488-492. |
| 作者姓名： | 舒适 黄云清 阳莺 蔚喜军 肖映雄 |
| 作者单位： | 1. 湘潭大学数学与计算科学学院,湖南,湘潭,411105 2. 中国科学院数学与系统科学研究院,计算数学与科学工程计算研究所,北京,100080 3. 北京应用物理与计算数学研究所,计算物理实验室,北京,100088 4. 湘潭大学土木工程与力学学院,湖南,湘潭,411105 |
| 基金项目： | 计算物理实验室基金，国家863高技术惯性约束聚变主题和NSAF(编号:10376031)资助项目 |
| 摘 要： | 对一类等代数结构面的三维非结构网格剖分,针对光滑变系数和各向异性系数的偏微分方程,给出两种非结构代数多重网格算法,数值试验表明算法的有效性和健壮性. |
| 关 键 词： | 代数多重网格法 三维非结构网格 各向异性 |
| 文章编号： | 1001-246X（2005）06-0488-05 |
| 收稿时间： | 2004-07-20 |
| 修稿时间： | 2005-01-21 |
A Class of Algebraic Multigrid Algorithms with Three-Dimensional Equal Algebraic Structures |
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| SHU Shi,HUANG Yun-qing,YANG Ying,YU Xi-jun,XIAO Ying-xiong.A Class of Algebraic Multigrid Algorithms with Three-Dimensional Equal Algebraic Structures[J].Chinese Journal of Computational Physics,2005,22(6):488-492. | |
| Authors: | SHU Shi HUANG Yun-qing YANG Ying YU Xi-jun XIAO Ying-xiong |
| Institution: | 1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China; 2. Institute of Computional Mathematics and Science/ Engincering Computing, Academy of Mathematics and System Sciences, CAS , Beijing 100080, China ; 3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China ; 4. Civil Engineering and Mechanics College, Xiangtan University, Xiangtan 411105, China |
| Abstract: | Two kinds of algebraic multigrid(AMG) algorithms with three-dimensional equal algebraic structures are constructed on the basis of a two-dimensional coarsing technique.The AMG method and the corresponding algebraic multigrid-preconditioned CG method are applied to elliptic boundary value problems with smooth coefficients and anisotropic problems.Numerical results show that the AMG algorithm is efficient and robust. |
| Keywords: | algebraic multigrid method three-dimensional unstructured grid anisotropy |
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