Reiterated homogenization of elliptic systems with Neumann boundary conditions
Qingqing Mi, Weisheng Niu, Yuansheng Wan · Mathematical Methods in the Applied Sciences · 2023
This paper is devoted to the quantitative estimates in reiterated homogenization of second‐order elliptic systems of linear elasticity, where the coefficients oscillate on multiple separated scales. We establish the uniform boundary Lipschitz estimate and the uniform estimate for the problem. The convergence rate in the space is also obtained as a by‐product.