A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term

DOI10.1080/00036811.2021.1929932zbMath1498.74036arXiv2002.02838OpenAlexW3168507953MaRDI QIDQ5039358

Othman Oudghiri-Idrissi, Bojan B. Guzina, Shixu Meng

Publication date: 12 October 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02838

zbMATH Keywords

asymptotic expansionvariational formulationfinite frequencyband gapBloch eigenfunctiondynamic homogenizationFloquet-Bloch transform

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Bulk waves in solid mechanics (74J10) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Uses Software

• NGSolve

Cites Work

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