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Homogenization of the One-Dimensional Wave Equation

  • Thi Trang Nguyen
  • Michel LencznerEmail author
  • Matthieu Brassart
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)

Abstract

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.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Thi Trang Nguyen
    • 1
  • Michel Lenczner
    • 1
    Email author
  • Matthieu Brassart
    • 2
  1. 1.FEMTO-STBesançonFrance
  2. 2.Laboratoire de Mathématiques de BesançonBesançonFrance

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