10 citations · 34 across the 18 of their papers we have counts for
14 papers · 1 filter
Asymptotic expansion of the voltage potential under small Robin perturbations of its boundary conditions
Eric Bonnetier, Charles Dapogny, Roman Moskalenko
Inspired by questions related to inverse problems and shape optimization, we derive an asymptotic expansion of the voltage potential, solution to a model elliptic second-order part…
Networks of sign-changing metamaterials: existence and spectral properties
Kaïs Ammari, Eric Bonnetier, Alessandro Duca
We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such medi…
An Open Waveguide with a Thin High Contrast Core Layer: Asymptotic Analysis and Inverse Detection Problem
Eric Bonnetier, Matias Courdurier, Axel Osses +1
We investigate the Helmholtz equation in a two dimensional open waveguide with a thin and high contrast core layer. We develop an asymptotic analysis of the Green function of the p…
Lamb modes and Born approximation for small shape defects inversion in elastic plates
Eric Bonnetier, Angele Niclas, Laurent Seppecher
The aim of this work is to present theoretical tools to study wave propagation in elastic waveguides and perform multi-frequency scattering inversion to reconstruct small shape def…
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies
Eric Bonnetier, Angèle Niclas, Laurent Seppecher +1
This article aims to present a general study of the Helmholtz problem in slowly varying waveguides. This work is of particular interest at locally resonant frequencies, where a phe…
Small perturbations in the type of boundary conditions for an elliptic operator
Eric Bonnetier, Charles Dapogny, Michael S. Vogelius
In this article, we study the impact of a change in the type of boundary conditions of an elliptic boundary value problem. In the context of the conductivity equation we consider a…