Stepped basic function in the asymptotic homogenization of an elliptic system
Paweł J. Mitkowski, Wojciech Mitkowski · Automatyka/Automatics · 2012
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 78 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.