| 多重网格插值算子的改进算法 |
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| 引用本文： | 黄朝晖,常谦顺.多重网格插值算子的改进算法[J].应用数学学报,2003,26(3):443-450. |
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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： | 国家自然科学基金(19931030号) |
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| 摘 要： | 本文在多重网格法Gauss-Seidel型插值算子的基础上，再用Jacobi松弛予以修正得到高精度算法，多重网格法的两层收敛性也获得了证明，数值例子进一步证实了新算法的效率．
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| 关 键 词： | 多重网格 Gauss-Seidel型插值算子 Jacobi松弛 偏微分方程 两层收敛性 |
AN IMPROVED ALGORITHM FOR THE MG INTERPOLATION OPERATOR |
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| HUANG ZHAOHUI CHANG QIANSHUN.AN IMPROVED ALGORITHM FOR THE MG INTERPOLATION OPERATOR[J].Acta Mathematicae Applicatae Sinica,2003,26(3):443-450. |
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| Authors: | HUANG ZHAOHUI CHANG QIANSHUN |
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| Abstract: | In this paper, based on Gauss-Seidel-type interpolation operator, an improved MG algorithm with high accuracy is obtained by performing Jacobi relaxation. We prove the two-level convergence of new MG method, and numerical examples further demonstrate the efficiency of new algorithm. |
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| Keywords: | Multigrid methods Gauss-Seidel solution Jacobi relaxation interpolation operator asymptotic convergence rate |
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