1 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
Higher-Order Total Directional Variation: Analysis
Simone Parisotto, Simon Masnou, Carola-Bibiane Schönlieb
We analyse a new notion of total anisotropic higher-order variation which, differently from the Total Generalized Variation by Bredies et al., quantifies for possibly non-symmetric…
Higher-Order Total Directional Variation: Imaging Applications
Simone Parisotto, Jan Lellmann, Simon Masnou +1
We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Ge…