13 citations · 37 across the 18 of their papers we have counts for
4 papers · 2 filters
Learning phase field mean curvature flows with neural networks
Elie Bretin, Roland Denis, Simon Masnou +1
We introduce in this paper new and very effective numerical methods based on neural networks for the approximation of the mean curvature flow of either oriented or non-orientable s…
Approximation of multiphase mean curvature flows with arbitrary nonnegative mobilities
Eric Bonnetier, Elie Bretin, Simon Masnou
This paper is devoted to the robust approximation with a variational phase field approach of multiphase mean curvature flows with possibly highly contrasted mobilities. The case of…
Stability for finite element discretization of some elliptic inverse parameter problems from internal data -- application to elastography
Elie Bretin, Pierre Millien, Laurent Seppecher
In this article, we provide stability estimates for the finite element discretization of a class of inverse parameter problems of the form $-\nabla\cdot(μS) = \g f$ in a domain …
A multiphase Cahn-Hilliard system with mobilities and the numerical simulation of dewetting
Elie Bretin, Roland Denis, Simon Masnou +2
We propose in this paper a new multiphase Cahn-Hilliard model with doubly degenerate mobilities. We prove by a formal asymptotic analysis that it approximates with second order acc…