17 citations · 17 across the 9 of their papers we have counts for
12 papers
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…
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…
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…
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…
Finite element analysis of a spectral problem on curved meshes occurring in diffusion with high order boundary conditions
Fabien Caubet, Joyce Ghantous, Charles Pierre
In this work is considered a spectral problem, involving a second order term on the domain boundary: the Laplace-Beltrami operator. A variational formulation is presented, leading…
On the penalization by the perimeter in shape optimization applied to Dirichlet inverse obstacle problem
Fabien Caubet, Marc Dambrine, Jérémi Dardé
This paper is devoted to the understanding of regularisation process in the shape optimization approach to the so-called Dirichlet inverse obstacle problem for elliptic operators.…
A priori error estimates of a diffusion equation with Ventcel boundary conditions on curved meshes
Fabien Caubet, Joyce Ghantous, Charles Pierre
In this work is considered an elliptic problem, referred to as the Ventcel problem, involvinga second order term on the domain boundary (the Laplace-Beltrami operator). A variation…
Numerical study of a diffusion equation with Ventcel boundary condition using curved meshes
Fabien Caubet, Joyce Ghantous, Charles Pierre
In this work is provided a numerical study of a diffusion problem involving a second order term on the domain boundary (the Laplace-Beltrami operator) referred to as the \textit{Ve…
Flip procedure in geometric approximation of multiple-component shapes -- Application to multiple-inclusion detection
Pierre Bonnelie, Loïc Bourdin, Fabien Caubet +1
We are interested in geometric approximation by parameterization of two-dimensional multiple-component shapes, in particular when the number of components is a priori unknown. Star…
On a decomposition formula for the proximal operator of the sum of two convex functions
Samir Adly, Loïc Bourdin, Fabien Caubet
The main result of the present theoretical paper is an original decomposition formula for the proximal operator of the sum of two proper, lower semicontinuous and convex functions…
Optimal location of resources for biased movement of species: the 1D case
Fabien Caubet, Thibaut Deheuvels, Yannick Privat
In this paper, we investigate an optimal design problem motivated by some issues arising in population dynamics. In a nutshell, we aim at determining the optimal shape of a region…
Stability estimates for Navier-Stokes equations and application to inverse problems
Mehdi Badra, Fabien Caubet, Jérémi Dardé
In this work, we present some new Carleman inequalities for Stokes and Oseen equations with non-homogeneous boundary conditions. These estimates lead to log type stability inequali…