activity
20122024
most citedExistence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives

20 citations · 61 across the 21 of their papers we have counts for

collaborators

24 papers

math.OC2024

Shape optimization involving the Tresca friction law in a 2D linear elastic model

Loïc Bourdin, Fabien Caubet, Aymeric Jacob de Cordemoy

The aim of this work is to analyse a shape optimization problem in a mechanical friction context. Precisely we perform a shape sensitivity analysis of a Tresca friction problem, th…

math.OC2024

Sensitivity analysis and optimal control for a friction problem in the linear elastic model

Loïc Bourdin, Fabien Caubet, Aymeric Jacob de Cordemoy

This paper investigates, without any regularization procedure, the sensitivity analysis of a mechanical friction problem involving the (nonsmooth) Tresca friction law in the linear…

math.OC2024

Sensitivity analysis of a scalar mechanical contact problem with perturbation of the Tresca's friction law

Loïc Bourdin, Fabien Caubet, Aymeric Jacob de Cordemoy

This paper investigates the sensitivity analysis of a scalar mechanical contact problem described by a boundary value problem involving the Tresca's friction law. The sensitivity a…

math.OC2024

Shape optimization for variational inequalities: the scalar Tresca friction problem

Samir Adly, Loïc Bourdin, Fabien Caubet +1

This paper investigates, without any regularization or penalization procedure, a shape optimization problem involving a simplified friction phenomena modeled by a scalar Tresca fri…

math.OC2023

Convergence in nonlinear optimal sampled-data control problems

Loïc Bourdin, Emmanuel Trélat

Consider, on the one part, a general nonlinear finite-dimensional optimal control problem and assume that it has a unique solution whose state is denoted by . On the other par…

math.OC2022

Erratum, counterexample and an additional revealing poll step for a result of "Analysis of direct searches for discontinuous functions''

Charles Audet, Pierre-Yves Bouchet, Loïc Bourdin

This note provides a counterexample to a theorem announced in the last part of the paper ''Analysis of direct searches for discontinuous functions'', Mathematical Programming Vol.…