Two-scale computation for 2-order elliptic problem with periodically oscillating coefficients

摘要

In this paper, a new approach for constructing the two-order and two-scale approximate solution to the elliptic problem with the sharply periodic oscillation coefficients is developed. The results of many numerical experiments for different two-order and two-scale approaches, in those the one-order local solution and two-order local solution defined in reference cell respectively satisfy different combination of boundary conditions are shown.