Orateur
Description
We analyze in this talk the abitity of different phase field models to approximate solutions of the Steiner problem. In particular, we will first focus on the recent phase field model introduced by
Bonnivard, Lemenant and Santanbrogio that couples a Cahn Hilliard type functional with a penalyzed term forcing the compacness of the desired set. We then propose and justify the convergence of some slightly modified versions, which improve the regularity of its solution and use a better uniform contribution of the penalized term. In particular, we show that this phase field model are able to consider a large number of points in dimension 2 and 3.
Finally, we also propose in comparison some numerical experiments using the approach of Chambolle, Ferrari and Merlet.
