Leading and Second Order Homogenization of an Elastic Scattering Problem for Highly Oscillating Anisotropic Medium

Yi-Hsuan Lin, Shixu Meng*

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant coefficient second-order partial differential elliptic equation that describes the wave propagation of the effective or overall wave field. We further pursue a higher-order homogenization with the help of complimentary boundary correctors and provide a detailed analysis on the rate of higher-order convergence. Finally we provide preliminary numerical examples to demonstrate the higher-order homogenization.

Original languageEnglish
JournalJournal of Elasticity
DOIs
StateAccepted/In press - 1 Jan 2019

Keywords

  • Elastic scattering
  • Periodic media
  • Second-order homogenization
  • Two-scale homogenization
  • Wave dispersion

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