Homogenization of the spectral equation in one-dimension

2013/10/15 by Thi Trang Nguyen, Nguyen, Thi Trang, Michel Lenczner +3
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics

paper · doi:10.48550/arxiv.1310.4064

openalex publication_date 2013/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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