6 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…
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…
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…