Department of Applied Mathematics School of Science Northwestern Polytechnical University Xi’an 710129 PR China;
Department of Applied Mathematics School of Science Northwestern Polytechnical University Xi’an 710129 PR China;
Research Center for Computational Science Northwestern Polytechnical University Xi’an 710129 PR China;
Department of Applied Mathematics School of Science Northwestern Polytechnical University Xi’an 710129 PR China;
Department of Applied Mathematics School of Science Northwestern Polytechnical University Xi’an 710129 PR China;
Department of Applied Mathematics School of Science Northwestern Polytechnical University Xi’an 710129 PR China;
Asymptotic homogenization method; Multiscale finite element method; First-order AHM; Slight fluctuations; Second-order AHM; Severe fluctuations;