On the homogenization of the Helmholtz problem with thin perforated walls of finite length

DOI10.1051/m2an/2017030zbMath1397.32004arXiv1611.06001OpenAlexW2964170936MaRDI QIDQ4579915

Adrien Semin, Bérangère Delourme, Kersten Schmidt

Publication date: 10 August 2018

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06001

zbMATH Keywords

method of matched asymptotic expansionsHelmholtz equationmethod of periodic surface homogenizationthin periodic interface

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Variational methods for second-order elliptic equations (35J20) Compactification of analytic spaces (32J05)

Related Items (5)

On the homogenization of the acoustic wave propagation in perforated ducts of finite length for an inviscid and a viscous model ⋮ Scattering by Finely Layered Obstacles: Frequency-Explicit Bounds and Homogenization ⋮ Sound absorption by perforated walls along boundaries ⋮ Effective Helmholtz problem in a domain with a Neumann sieve perforation ⋮ Topology optimization of acoustic metasurfaces by using a two-scale homogenization method

Uses Software

• Concepts

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