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 …
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
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 …
field approximations of 1D waves in finite periodic media within the framework of two-scale …
Homogenized boundary conditions and resonance effects in Faraday cages
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 …
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
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 …
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 …
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 …
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 …
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
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 …
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 …
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 …
problem in a layer which consists of a perforated plate and a surrounding acoustic fluid. As …