用多重网格法解赫姆霍兹型欧拉方程

USE OF MULTIGRID METHODS IN SOLVING HELMHOLTZ 'S EULER EQUATION

讨论了用多重网格方法（ＭＧＭ）求解赫姆霍兹型（ＨｅｌｍｈｏＩｔｚ）欧拉方程第一边值的五个定解问题，并与变系数超松弛迭代法作了比较。结果表明，在相同的精度条件下，前者所需的计算时间要比后者少，时间效率比随着网格数的增加而明显提高，反映了用多重网格方法求解大型差分方程组数值解的优越性。

A multigrid Method(MGM)is employed to calculate five fixed solutions to the firstboundary-value problems of Helmholtz's Euler equation,which are compared to the superrelaxation iteration with variable coefficients,Evidence suggests that the required time of theMGM is less than that of the iteration for the same accuracy with the time/efficiency ratio greatlyenhanced with increased grid number,thereby exhibiting advantages in finding numericalsolutions of a large-scale difference equation.