Homogenization of the one-dimensional wave equation
Thi Trang Nguyen, Michel Lenczner, Matthieu Brassart · arXiv (Cornell University) · 2013
We present a method for two-scale model derivation of the periodic homogenization of the one-dimensional wave equation in a bounded domain. It allows for analyzing the oscillations occurring on both microscopic and macroscopic scales. The novelty reported here is on the asymptotic behavior of high frequency waves and especially on the boundary conditions of the homogenized equation. Numerical simulations are reported.