3 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.NA2024
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…
math.NA2023
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…