| 基于亏量方程的多重网格解法 |
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| 引用本文： | 黄朝晖,常谦顺. 基于亏量方程的多重网格解法[J]. 计算物理, 2001, 18(5): 423-428 |
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| 作者姓名： | 黄朝晖 常谦顺 |
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| 作者单位： | 中国科学院数学与系统科学研究院, 北京 100080 |
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| 基金项目： | This work is partlysupported by the National Natural Science Foundation of China(No. 19931030). |
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| 摘 要： | 基于亏量方程提出了一种生成多重网格插值公式的新方法,新插值公式充分利用了粗网格的信息,因而具有更高的精度.对Poisson方程,各向异性方程,双调和方程,甚至三维问题的数值试验表明,新插值公式改进了多重网格法的渐近收敛速度,节省了存储空间及计算时间.
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| 关 键 词： | 多重网格 亏量方程 插值公式 渐近收敛速度 |
| 文章编号： | 1001-246X(2001)05-0423-06 |
| 收稿时间： | 2001-01-15 |
| 修稿时间： | 2001-01-15 |
MULTIGRID SOLVER BASEDON THE DEFECT EQUATION |
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| HUANG Zhao-hui,CHANG Qian-shun. MULTIGRID SOLVER BASEDON THE DEFECT EQUATION[J]. Chinese Journal of Computational Physics, 2001, 18(5): 423-428 |
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| Authors: | HUANG Zhao-hui CHANG Qian-shun |
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| Affiliation: | Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P R China |
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| Abstract: | A new approach for producing the MG interpolatory formula is proposed on the basis of the defect equation. This new interpolatory formula makes full use of information of coarser grids, and thus has higher accuracy. Numerical experiments for Poisson equation, anisotropic equation, biharmonic equation, and even 3D problem show that the new interpolatory formula improves the asymptotic convergence rate, and reduces the storage capacity and computational time for the AMG method. |
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| Keywords: | multigrid defect equation interpolatory formula asymptotic convergence rate |
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