6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.NA2021★ 6 cited
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…
math.NA2021
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…
math.AP2020★ 1 cited
Approximation of surface diffusion flow: a second order variational Cahn--Hilliard model with degenerate mobilities
Elie Bretin, Simon Masnou, Arnaud Sengers +1
This paper tackles the approximation of surface diffusion flow using a Cahn--Hilliard-type model. We introduce and analyze a new second order variational phase field model which as…