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math.AP2021
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…
math.AP2018
The plasmonic resonances of a bowtie antenna
Eric Bonnetier, Charles Dapogny, Faouzi Triki +1
Metallic bowtie-shaped nanostructures are very interesting objects in optics, due to their capability of localizing and enhancing electromagnetic fields in the vicinity of their ce…
math.AP2017
Homogenization of the eigenvalues of the Neumann-Poincaré operator
Eric Bonnetier, Charles Dapogny, Faouzi Triki
In this article, we investigate the spectrum of the Neumann-Poincaré operator associated to a periodic distribution of small inclusions with size , and its asymptotic…