Stepped Basic Func- tion in the Asymptotic Homogenization of an Elliptic System

Abstract

The problem of asymptotic homogenization for one-dimensio-
nal stationary elliptic system was studied. The value of effective
conductivity coefficient of homogeneous elliptic macroscopic sys-
tem was determined for the basic cell approximated by a stepped
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function. The conditions to obtain given conductivity coefficient, in
the considered homogenization problem, were shown. Results of
numerical calculations were provided to illustrate discussed issues.