一类拟周期系数椭圆型边值问题的双尺度分析

Two-scale analysis for elliptic boundary value problem of quasi-periodic coefficients

对一类拟周期系数椭圆型边值问题给出了双尺度分析,得到对应的均匀化方程、双尺度渐近展开式及渐近误差估计.对此类问题的计算给出了一个有效的数值计算方法,降低了计算难度,提高了误差精度,使数值解更逼近于弱解.

The two-scale formal asymptotic solution of the elliptic boundary value problem in quasi-periodic domain is given. The homogenization constants and error estimation are presented. One new effective numerical method is presented for elliptic problem in the quasi-periodic domain. It reduces the difficulty of calculation and improves error accuracy, in order to make numerical value solution approach weak solution more.