2 citations · 2 across the 11 of their papers we have counts for
12 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…
Body-fitted tracking of 2d open curves with a level set based mesh evolution method
Charles Dapogny
This article describes a novel numerical algorithm for tracking the motion of a collection of open curves in two space dimensions. The proposed strategy combines two complementary…
Distributionally Robust Shape and Topology Optimization
Charles Dapogny, Julien Prando, Boris Thibert
This article aims to introduce the paradigm of distributional robustness from the field of convex optimization to tackle optimal design problems under uncertainty. We consider real…
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…
A Lagrangian shape and topology optimization framework based on semi-discrete optimal transport
Charles Dapogny, Bruno Levy, Edouard Oudet
This article revolves around shape and topology optimization, in the applicative context where the objective and constraint functionals depend on the solution to a physical boundar…
Space-time shape optimization of rotating electric machines
Alessio Cesarano, Charles Dapogny, Peter Gangl
This article is devoted to the shape optimization of the internal structure of an electric motor, and more precisely of the arrangement of air and ferromagnetic material inside the…
Entropy-regularized Wasserstein distributionally robust shape and topology optimization
Charles Dapogny, Franck Iutzeler, Andrea Meda +1
This brief note aims to introduce the recent paradigm of distributional robustness in the field of shape and topology optimization. Acknowledging that the probability law of uncert…
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…
A connection between topological ligaments in shape optimization and thin tubular inhomogeneities
Charles Dapogny
In this note, we propose a formal framework accounting for the sensitivity of a function of the domain with respect to the addition of a thin ligament. To set ideas, we consider th…
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…
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…
Shape optimization for quadratic functionals and states with random right-hand sides
M. Dambrine, C. Dapogny, H. Harbrecht
In this work, we investigate a particular class of shape optimization problems under uncertainties on the input parameters. More precisely, we are interested in the minimization of…