13 citations · 17 across the 11 of their papers we have counts for
14 papers
On the treatment of topology changes on 3D polyhedral moving meshes via 4D space-time hole-like elements in direct ALE ADER-DG methods
Elena Gaburro, Matej Klima, Mauro Bonafini +1
This work investigates a novel approach for the high order evolution of hyperbolic PDEs using ADER discontinuous Galerkin schemes within a direct Arbitrary-Lagrangian-Eulerian (ALE…
Stability analysis of Arbitrary-Lagrangian-Eulerian ADER-DG methods on classical and degenerate spacetime geometries
Mauro Bonafini, Davide Torlo, Elena Gaburro
In this paper, we present a thorough von Neumann stability analysis of explicit and implicit Arbitrary-Lagrangian-Eulerian (ALE) ADER discontinuous Galerkin (DG) methods on classic…
On fractional semilinear wave equations in non-cylindrical domains
Mauro Bonafini, Van Phu Cuong Le, Riccardo Molinarolo
In this paper, we investigate a class of semilinear wave equations in non-cylindrical time-dependent domains, subject to exterior homogeneous Dirichlet conditions. Under mild regul…
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…
Hellinger-Kantorovich barycenter between Dirac measures
Mauro Bonafini, Olga Minevich, Bernhard Schmitzer
The Hellinger-Kantorovich (HK) distance is an unbalanced extension of the Wasserstein-2 distance. It was shown recently that the HK barycenter exhibits a much more complex behaviou…
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…
Weak solutions for nonlinear waves in adhesive phenomena
Mauro Bonafini, Van Phu Cuong Le
We discuss a notion of weak solution for a semilinear wave equation that models the interaction of an elastic body with a rigid substrate through an adhesive layer, relying on resu…
Data-driven entropic spatially inhomogeneous evolutionary games
Mauro Bonafini, Massimo Fornasier, Bernhard Schmitzer
We introduce novel multi-agent interaction models of entropic spatially inhomogeneous evolutionary undisclosed games and their quasi-static limits. These evolutions vastly generali…
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…
Domain decomposition for entropy regularized optimal transport
Mauro Bonafini, Bernhard Schmitzer
We study Benamou's domain decomposition algorithm for optimal transport in the entropy regularized setting. The key observation is that the regularized variant converges to the glo…
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…
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…