Convergence Rates in Homogenization of the Mixed Boundary Value Problems
Jie Zhao, Juan Wang · Mathematical Problems in Engineering · 2019
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.