| 在代数多重网格法中的新插值公式 |
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| 引用本文： | 常谦顺 李正锋. 在代数多重网格法中的新插值公式[J]. 计算物理, 1990, 7(4): 453-460 |
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| 作者姓名： | 常谦顺 李正锋 |
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| 作者单位： | 中国科学院应用数学所, 北京 100080 |
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| 摘 要： | 推导出代数多重网格法的一个新的插值公式。理论分析和数值计算表明这个公式很有效,且适用性强。推广了原代数多重网格法的应用范围,能够求解一些很病态的代数方程组。
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| 关 键 词： | 代数多重网格 插值公式 线性方程组 |
| 收稿时间： | 1990-05-21 |
NEW INTERPOLATION FORMULA IN ALGEBRAIC MULTIGRID METHOD |
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| Chang Qianshun,Li Zhengfeng. NEW INTERPOLATION FORMULA IN ALGEBRAIC MULTIGRID METHOD[J]. Chinese Journal of Computational Physics, 1990, 7(4): 453-460 |
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| Authors: | Chang Qianshun Li Zhengfeng |
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| Affiliation: | Institute of Applied Mathematics, Academia Sinica, Beijing, 100080 |
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| Abstract: | In this paper, we present a new interpolation formula of algebraic multigrid (AM G). The AMG algorithm with this formula can solve many problems, even very ill-conditioned problems like biharmonic equation and convection-diffusion equation with discontinuous coefficient etc. The theoretical analysis and numerical experiments demonstrate that this formula is very robust and efficient, so we have extended the application range of AMG. |
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| Keywords: | algebraic multigrid interpolation formula linear system of equations |
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