4 papers · 1 filter
Optimal control for multiagent systems with simultaneous aggregation
Mauro Bonafini, Giulia Cavagnari, Antonio Marigonda
In this paper, we introduce an optimal control problem for multi-agent systems with non-local cost which favors simultaneous aggregation of particles. This is done introducing a ti…
Asymptotic analysis of domain decomposition for optimal transport
Mauro Bonafini, Ismael Medina, Bernhard Schmitzer
Large optimal transport problems can be approached via domain decomposition, i.e. by iteratively solving small partial problems independently and in parallel. Convergence to the gl…
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…
A convex approach to the Gilbert-Steiner problem
Mauro Bonafini, Édouard Oudet
We describe a convex relaxation for the Gilbert-Steiner problem both in and on manifolds, extending the framework proposed in [9], and we discuss its sharpness by means of ca…