Based on the two-scale asymptotic analysis method for elastic structures of composite materials formed by entirely basic configurations, the finite element formulation and its error estimates are presented in this paper. Meanwhile, the approximate formulas of Du are also set up.
A new type of computable scheme is provided for a class of elliptic bounaryvalue problems with small periodic coefficients. The principle idea of this methodis to change the computation of original problems into the solving process of theperiodic solution defined in the basic condguration and boundary layer. In thispaper, a completely rigorous mathematical theory for this process is presented.
