A convex approach to the Gilbert-Steiner problem (Q2194559)

The approach moves from the works of other authors in order to obtain a convex relaxation of the energy. An extensive numerical investigation of the relaxation is adapted to the treatment of more general Gilbert-Steiner problems (with multiple sources/sinks). Algorithmic scheme is given for the minimization of the proposed energy functional in the Euclidean setting. Several examples are presented and numerical applications of the algorithmic approach to surfaces with boundaries are given. The paper is interesting and well organized.