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math.NA2023
A penalized Allen-Cahn equation for the mean curvature flow of thin structures
Elie Bretin, Chih-Kang Huang, Simon Masnou
This paper addresses the approximation of the mean curvature flow of thin structures for which classical phase field methods are not suitable. By thin structures, we mean surfaces…
math.NA2023
A mobility-SAV approach for a Cahn-Hilliard equation with degenerate mobilities
Elie Bretin, Luca Calatroni, Simon Masnou
A novel numerical strategy is introduced for computing approximations of solutions to a Cahn-Hilliard model with degenerate mobilities. This model has recently been introduced as a…