3 papers
math.NA2024
Numerical approximation of a class of constrained Hamilton-Jacobi equations
Benoît Gaudeul, Hélène Hivert
In this paper, we introduce a framework for the discretization of a class of constrained Hamilton-Jacobi equations, a system coupling a Hamilton-Jacobi equation with a Lagrange mul…
math.NA2020
A convergent entropy diminishing finite volume scheme for a cross-diffusion system
Clément Cancès, Benoît Gaudeul
We study a two-point flux approximation finite volume scheme for a cross-diffusion system. The scheme is shown to preserve the key properties of the continuous systems, among which…
math.NA2019
A numerical analysis focused comparison of several Finite Volume schemes for an Unipolar Degenerated Drift-Diffusion Model
Clément Cancès, Claire Chainais-Hillairet, Jürgen Fuhrmann +1
In this paper, we consider an unipolar degenerated drift-diffusion system where the relation between the concentration of the charged species and the chemical potential is…