| 一类有限元多重网格方法 |
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| 引用本文： | 钱建良 刘家琦. 一类有限元多重网格方法[J]. 哈尔滨工业大学学报, 1996, 28(3): 1-6 |
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| 作者姓名： | 钱建良 刘家琦 |
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| 摘 要： | 以变分原理为基础，利用不完全ＬＵ分解作为光滑迭代，本文提出了一类多重网格法ＭＧＭＩＬＵ（０，ｖ），并证明了上述方法不依赖于网格间距而收敛，同时给出了线性与双线性元情形下的具体算法，最后，数值算例说明了算法的收敛性和稳定性。
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| 关 键 词： | 有限元 多重网格法 椭圆型方程 边值问题 |
A Class of Finite Element-Multigrid Method |
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| Qian Jianliang,Liu Jiaqi,Yang Guang. A Class of Finite Element-Multigrid Method[J]. Journal of Harbin Institute of Technology, 1996, 28(3): 1-6 |
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| Authors: | Qian Jianliang Liu Jiaqi Yang Guang |
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| Affiliation: | Dept.of Mathematics |
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| Abstract: | Based on the variational principle,a class of multigrid method MGMILU(0,v) has ho proposed which makes use of incomplete LU(ILU) decomposition as smoothing iteration. It is proved that the above method is convergent independently of the grid spacing and the specific algorithms are described for the cases of linear and bilinear elements. Finally the results of numerical experiments are given which illustrate the robustness and the convergence behavior of MGMILU(0,v). |
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| Keywords: | Multigrid inncomplete LU decomposition smoothing iteration |
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