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。
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.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
1993年第6期15-21,共7页
Journal of Tsinghua University(Science and Technology)
关键词
收敛性
DGS法
光滑因子
Cauchy-Riemann problem
DGS method
overdetermined equations
smoothing factor
