| 一类新的瀑布型代数多重网格方法 |
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| 引用本文： | 黄传勇,李郴良,董晓亮.一类新的瀑布型代数多重网格方法[J].广西科学,2008,15(2):142-144. |
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| 作者姓名： | 黄传勇 李郴良 董晓亮 |
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| 作者单位： | 1. 桂林电子科技大学数学与计算科学学院,广西桂林,541004
2. 北方民族大学信息与计算科学学院,宁夏银川,750021 |
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| 摘 要： | 对瀑布型多重网格(CMG)法和代数多重网格(AMG)法进行组合,提出一种新的求解二维椭圆型边值问题的瀑布型代数多重网格(CAMG)法,并进行数值实验.结果表明,CAMG法所得解的误差小于10-6,并且每层的迭代次数都少于AMG法,特别在最细层上的迭代次数远远少于AMG法.CAMG法是收敛,高效的迭代算法.
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| 关 键 词： | 边值问题 多重网格算法 瀑布型 |
| 收稿时间： | 2006/12/22 0:00:00 |
| 修稿时间： | 2007/1/12 0:00:00 |
A New Cascadic Algebraic Multigrid Method |
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| HUANG Chuan-yong,LI Chen-liang and DONG Xiao-liang.A New Cascadic Algebraic Multigrid Method[J].Guangxi Sciences,2008,15(2):142-144. |
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| Authors: | HUANG Chuan-yong LI Chen-liang and DONG Xiao-liang |
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| Institution: | School of Information and Computation Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China,School of Information and Computation Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China and School of Information and Computation Science, The North University for Ethnics, Yinchuan, Ningxia, 750021, China |
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| Abstract: | A new algebraic multigrid(AMG) method-cascadic algebraic multigrid method is developed for a kind of two dimensional elliptic boundary problem by combining cascadic multigrid(CMG) method and algebraic multigrid(AMG) method.The result of Numerial experiments show that,the error of the result of AMG is less than 10-6,and the number of iteration of each floor is less than that of AMG.The case is especially obvious in the smallest floor.So the CAMG is a convergence and efficient iterative algorithm. |
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| Keywords: | boundary problem multigrid method cascadic |
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