13 citations · 37 across the 18 of their papers we have counts for
5 papers · 1 filter
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach
Matthieu Bonnivard, Elie Bretin, Antoine Lemenant +1
This work focuses on a phase field approximation of Plateau's problem. Inspired by Reifenberg's point of view, we introduce a model that combines the Ambrosio-Torterelli energy wit…
A Cahn--Hilliard--Willmore phase field model for non-oriented interfaces
Elie Bretin, Antonin Chambolle, Simon Masnou
We investigate a new phase field model for representing non-oriented interfaces, approximating their area and simulating their area-minimizing flow. Our contribution is related to…
Multiphase mean curvature flows with high mobility contrasts: a phase-field approach, with applications to nanowires
Elie Bretin, Alexandre Danescu, José Penuelas +1
The structure of many multiphase systems is governed by an energy that penalizes the area of interfaces between phases weighted by surface tension coefficients. However, interface…
Mathematical modeling in full-field optical coherence elastography
Habib Ammari, Elie Bretin, Pierre Millien +2
We provide a mathematical analysis of and a numerical framework for full-field optical coherence elastography, which has unique features including micron-scale resolution, real-tim…
Phase-field approximations of the Willmore functional and flow
Elie Bretin, Simon Masnou, Edouard Oudet
We discuss in this paper phase-field approximations of the Willmore functional and the associated L2-flow. After recollecting known results on the approximation of the Willmore ene…