Homogenization of the spectral equation in one-dimension
Analysis of PDEs
2013-10-16 v1
Abstract
The asymptotic behavior of a one-dimensional spectral problem with periodic coefficient is addressed for high frequency modes by a method of Bloch wave homogenization. The analysis leads to a spectral problem including both microscopic and macroscopic eigenmodes. Numerical simulation results are provided to corroborate the theory.
Keywords
Cite
@article{arxiv.1310.4064,
title = {Homogenization of the spectral equation in one-dimension},
author = {Thi Trang Nguyen and Michel Lenczner and Matthieu Brassart},
journal= {arXiv preprint arXiv:1310.4064},
year = {2013}
}