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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…