Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales

DOI10.1007/s10208-020-09456-xzbMath1456.35015arXiv1905.09062OpenAlexW3012243686MaRDI QIDQ827008

Assyr Abdulle, Timothée Pouchon

Publication date: 6 January 2021

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09062

zbMATH Keywords

homogenizationdispersive waveslong-time behaviormultiscale methoda priori error analysiseffective equations

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

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