2 papers
math.AP2025
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…
math.OC2025
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 , w…