190 citations · 260 across the 16 of their papers we have counts for
9 papers · 1 filter
Longest minimal length partitions
Beniamin Bogosel, Edouard Oudet
This article provides numerical evidence that under volume constraint the ball is the set which maximizes the perimeter of the least-perimeter partition into cells with prescribed…
Variational approximation of functionals defined on -dimensional connected sets in
Mauro Bonafini, Giandomenico Orlandi, Edouard Oudet
In this paper we consider the Euclidean Steiner tree problem and, more generally, (single sink) Gilbert--Steiner problems as prototypical examples of variational problems involving…
The minimal resistance problem in a class of non convex bodies
Edoardo Mainini, Manuel Monteverde, Edouard Oudet +1
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave profiles. We also give the corresponding result for one-dimensional profiles. M…
Large volume minimizers of a non local isoperimetric problem: theoretical and numerical approaches
François Générau, Edouard Oudet
We consider the volume-constrained minimization of the sum of the perimeter and the Riesz potential. We add an external potential of the form that provides the existence…
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…
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…