TY - JOUR A2 - Han, Weimin AU - Zhao, Jie AU - Wang, Juan PY - 2019 DA - 2019/03/05 TI - Convergence Rates in Homogenization of the Mixed Boundary Value Problems SP - 2680657 VL - 2019 AB - We will study the convergence rates of solutions for homogenization of the mixed boundary value problems. By utilizing the smoothing operator as well as duality argument, we deal with the mixed boundary conditions in a uniform fashion. As a consequence, we establish the sharp rate of convergence in H1 and L2, with no smoothness assumption on the coefficients. SN - 1024-123X UR - https://doi.org/10.1155/2019/2680657 DO - 10.1155/2019/2680657 JF - Mathematical Problems in Engineering PB - Hindawi KW - ER -