10 citations · 34 across the 18 of their papers we have counts for
23 papers
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…
Numerical shape and topology optimization of regions supporting the boundary conditions of a physical problem
Eric Bonnetier, Carlos Brito-Pacheco, Charles Dapogny +1
This article deals with a particular class of shape and topology optimization problems: the optimized design is a region of the boundary of a given domain , whi…
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…
A probabilistic representation of the solution to a 1D evolution equation in a medium with negative index
Éric Bonnetier, Pierre Etoré, Miguel Martinez
In this work we investigate a 1D evolution equation involving a divergence form operator where the diffusion coefficient inside the divergence is changing sign, as in models for me…