6 citations · 10 across the 3 of their papers we have counts for
4 papers
Strong approximation in h-mass of rectifiable currents under homological constraint
Antonin Chambolle, Luca Alberto Davide Ferrari, Benoït Merlet
Let h : R R+ be a lower semi-continuous subbadditive and even function such that h(0) = 0 and h() || for some > 0. The h-mass of a k-polyhedral cha…
Phase field approximations of branched transportation problems
Luca Alberto Davide Ferrari, Carolin Rossmanith, Benedikt Wirth
In branched transportation problems mass has to be transported from a given initial distribution to a given final distribution, where the cost of the transport is proportional to t…
Variational approximation of size-mass energies for k-dimensional currents
Antonin Chambolle, Luca Alberto Davide Ferrari, Benoît Merlet
In this paper we produce a -convergence result for a class of energies ε modeled on the Ambrosio-Tortorelli functional. For the choice k = 1 we show that ε$,a…
A simple phase-field approximation of the Steiner problem in dimension two
A. Chambolle, B. Merlet, L. Ferrari
In this paper we consider the branched transportation problem in 2D associated with a cost per unit length of the form where denotes the amount of transported mass and…