TY - EJOU AU - Dong, Hao AU - Nie, Yufeng AU - Yang, Zihao AU - Zhang, Yang AU - Wu, Yatao TI - The Numerical Accuracy Analysis of Asymptotic Homogenization Method and Multiscale Finite Element Method for Periodic Composite Materials T2 - Computer Modeling in Engineering \& Sciences PY - 2016 VL - 111 IS - 5 SN - 1526-1506 AB - In this paper, we discuss the numerical accuracy of asymptotic homogenization method (AHM) and multiscale finite element method (MsFEM) for periodic composite materials. Through numerical calculation of the model problems for four kinds of typical periodic composite materials, the main factors to determine the accuracy of first-order AHM and second-order AHM are found, and the physical interpretation of these factors is given. Furthermore, the way to recover multiscale solutions of first-order AHM and MsFEM is theoretically analyzed, and it is found that first-order AHM and MsFEM provide similar multiscale solutions under some assumptions. Finally, numerical experiments verify that MsFEM is essentially a first-order multiscale method for periodic composite materials. KW - Asymptotic homogenization method KW - Multiscale finite element method KW - First-order AHM KW - Slight fluctuations KW - Second-order AHM KW - Severe fluctuations DO - 10.3970/cmes.2016.111.395