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math.OC2016
Variational approximation of functionals defined on 1-dimensional connected sets: the planar case
Mauro Bonafini, Giandomenico Orlandi, Edouard Oudet
In this paper we consider variational problems involving 1-dimensional connected sets in the Euclidean plane, such as the classical Steiner tree problem and the irrigation (Gilbert…
math.OC2016
Partitions of Minimal Length on Manifolds
Beniamin Bogosel, Edouard Oudet
We study partitions on three dimensional manifolds which minimize the total geodesic perimeter. We propose a relaxed framework based on a -convergence result and we show some nu…