5 papers
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…
On the obstacle problem for fractional semilinear wave equations
Mauro Bonafini, Van Phu Cuong Le, Matteo Novaga +1
We prove existence of weak solutions to the obstacle problem for semilinear wave equations (including the fractional case) by using a suitable approximating scheme in the spirit of…
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 variational scheme for hyperbolic obstacle problems
Mauro Bonafini, Matteo Novaga, Giandomenico Orlandi
We consider an obstacle problem for (possibly non-local) wave equations, and we prove existence of weak solutions through a convex minimization approach based on a time discrete ap…
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…