Approximate models for wave propagation across thin periodic interfaces

B Delourme, H Haddar, P Joly - Journal de mathématiques pures et …, 2012 - Elsevier
This work deals with the scattering of acoustic waves by a thin ring that contains regularly
spaced inhomogeneities. We first explicit and study the asymptotic of the solution with …

Second-order homogenization of boundary and transmission conditions for one-dimensional waves in periodic media

R Cornaggia, BB Guzina - International Journal of Solids and Structures, 2020 - Elsevier
We consider the homogenized boundary and transmission conditions governing the mean-
field approximations of 1D waves in finite periodic media within the framework of two-scale …

Homogenized boundary conditions and resonance effects in Faraday cages

DP Hewett, IJ Hewitt - Proceedings of the Royal Society …, 2016 - royalsocietypublishing.org
We present a mathematical study of two-dimensional electrostatic and electromagnetic
shielding by a cage of conducting wires (the so-called 'Faraday cage effect'). Taking the limit …

Computing weakly singular and near-singular integrals over curved boundary elements

H Montanelli, M Aussal, H Haddar - SIAM Journal on Scientific Computing, 2022 - SIAM
We present algorithms for computing weakly singular and near-singular integrals arising
when solving the 3D Helmholtz equation with curved boundary elements. These are based …

Homogenization of the vibro–acoustic transmission on perforated plates

E Rohan, V Lukeš - Applied Mathematics and Computation, 2019 - Elsevier
The paper deals with modelling of acoustic waves which propagate in inviscid fluids
interacting with perforated elastic plates. The plate can be replaced by an interface on which …

Homogenization of thin-structured surfaces for acoustics in the presence of a two-dimensional low Mach potential flow

JF Mercier - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
A surface homogenization method for acoustic waves over thin microstructured surfaces in
the presence of a fluid in a potential flow is presented. Sound hard surfaces are considered …

High‐order asymptotics for the electromagnetic scattering by thin periodic layers

B Delourme - Mathematical Methods in the Applied Sciences, 2015 - Wiley Online Library
This work deals with the scattering of electromagnetic waves by a thin periodic layer made of
an array of regularly spaced obstacles. The size of the obstacles and the spacing between …

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

A Semin, B Delourme, K Schmidt - ESAIM: Mathematical Modelling …, 2018 - numdam.org
In this work, we present a new solution representation for the Helmholtz transmission
problem in a bounded domain in R2 with a thin and periodic layer of finite length. The layer …

Modeles homogénéisés enrichis en présence de bords: Analyse et traitement numérique

C Beneteau - 2021 - theses.hal.science
Quand on s' intéresse à la propagation des ondes dans un milieu périodique à basse
fréquence (ie la longueur d'onde est grande devant la période), il est possible de modéliser …

Homogenization of the vibro–acoustic transmission on periodically perforated elastic plates with arrays of resonators

E Rohan, V Lukeš - Applied Mathematical Modelling, 2022 - Elsevier
The paper is devoted to the homogenization of the vibroacoustic fluid-structure interaction
problem in a layer which consists of a perforated plate and a surrounding acoustic fluid. As …