| DGS法应用于Cauchy-Riemann问题的收敛性和光滑因子 |
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| 引用本文： | 顾丽珍. DGS法应用于Cauchy-Riemann问题的收敛性和光滑因子[J]. 清华大学学报(自然科学版), 1993, 0(6) |
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| 作者姓名： | 顾丽珍 |
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| 作者单位： | 应用数学系 |
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| 摘 要： | Ｃａｕｃｈｙ－Ｒｉｅｍａｎｎ问题在交错网格上的离散方程为超定方程组，用分布Ｇａｕｓｓ－Ｓｅｉｄｅｌ松弛法（简称 ＤＧＳ法）作为多重问格法求解该问题的光滑器，本文证明了ＤＧＳ法的收敛性并给出了估计光滑因子的表达式和估值为０．５２１３。
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| 关 键 词： | Cauchy-Riemann问题 DGS法 超定方程 光滑因子 |
Convergence and smoothing factor of DGS method applied to Cauchy-Riemann problems |
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| Gu Lizhen. Convergence and smoothing factor of DGS method applied to Cauchy-Riemann problems[J]. Journal of Tsinghua University(Science and Technology), 1993, 0(6) |
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| Authors: | Gu Lizhen |
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| Affiliation: | Department of Applied Mathematics |
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| Abstract: | A difference system of equations of two-dimensional Cauchy-Riemann problems discreted on a staggered grid is overdetermined. A distributive Gauls-Seidel relaxation method is used as a smoother of Multigrid method for solving this system. In this paper, the convergence of DGS scheme is shown, and the expression of the smoothing factor is given with its estimative value 0.5213. |
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| Keywords: | Cauchy-Riemann problem DGS method overdetermined equations smoothing factor |
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