| 一维抛物型偏微分方程的多重网格解法和模型问题分析 |
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| 引用本文： | 蒋长锦. 一维抛物型偏微分方程的多重网格解法和模型问题分析[J]. 中国科学技术大学学报, 1991, 21(4): 447-453 |
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| 作者姓名： | 蒋长锦 |
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| 作者单位： | 中国科学技术大学数学系 |
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| 摘 要： | 具体构造了一维抛物型偏微分方程的多重网格解法。就模型方程分析了光滑因子,建立了不变子空间,并给出校正算子和二重网格方法算子的矩阵表示。导出了二重网格方法算子的谱半径——收敛因子,解决了收敛问题。
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| 关 键 词： | 光滑因子 不变子空间 校正算子 收敛因子 |
A Multigrid Method for Solutions of One-Dimensional Parabolic Partial Differential Equations and Model Problem Analysis |
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| Jiang Changjin. A Multigrid Method for Solutions of One-Dimensional Parabolic Partial Differential Equations and Model Problem Analysis[J]. Journal of University of Science and Technology of China, 1991, 21(4): 447-453 |
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| Authors: | Jiang Changjin |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, a new multigrid method for solutions of one-dimensional partial differential equations is developed. For the model equation, the smoothing factor is analysed, the invariant subspaces structured and the matrixes representing the correction and two-grid operators, respectively, are obtained. The spectral radius, the convergent factor of two grid method is deduced, thus solving the convergenee problem of the two grid method. |
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| Keywords: | smoothing factor invariant subspaces coarse-grid-correction operator convergence factor. |
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