51 citations · 191 across the 30 of their papers we have counts for
5 papers · 1 filter
Approximation of rectifiable -currents and weak- relaxation of the -mass
Andrea Marchese, Benedikt Wirth
Based on Smirnov's decomposition theorem we prove that every rectifiable -current with finite mass and finite mass of its boundary $…
Approximation of the relaxed perimeter functional under a connectedness constraint by phase-fields
Patrick Dondl, Matteo Novaga, Benedikt Wirth +1
We develop a phase-field approximation of the relaxation of the perimeter functional in the plane under a connectedness constraint based on the classical Modica-Mortola functional…
Semi-discrete unbalanced optimal transport and quantization
David P. Bourne, Bernhard Schmitzer, Benedikt Wirth
In this paper we study the class of optimal entropy-transport problems introduced by Liero, Mielke and Savaré in Inventiones Mathematicae 211 in 2018. This class of unbalanced tran…
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…
Phase field models for two-dimensional branched transportation problems
Benedikt Wirth
We analyse the following inverse problem. Given a nonconvex functional (from a specific, but quite general class) of normal, codimension-1 currents (which in two spatial dimensions…