6 citations · 7 across the 5 of their papers we have counts for
3 papers · 1 filter
Learning the Willmore flow with a lightweight neural operator
Elie Bretin, Roland Denis, Tokuhiro Eto +1
We extend to the Willmore flow the phase-field neural operator approach proposed by Bretin, Denis, Masnou, and Terii (2022) for mean curvature motion in two and three dimensions. T…
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…
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…