75 citations · 369 across the 32 of their papers we have counts for
8 papers · 1 filter
Weak scalability of domain decomposition methods for discrete fracture networks
Stefano Berrone, Tommaso Vanzan
Discrete Fracture Networks (DFNs) are complex three-dimensional structures characterized by the intersections of planar polygonal fractures, and are used to model flows in fracture…
An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis
Stefano Berrone, Chiara Giverso, Denise Grappein +2
A new mathematical model and numerical approach are proposed for the simulation of fluid and chemical exchanges between a growing capillary network and the surrounding tissue, in t…
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks
S. Berrone, C. Canuto, M. Pintore +1
In this paper, we present and compare four methods to enforce Dirichlet boundary conditions in Physics-Informed Neural Networks (PINNs) and Variational Physics-Informed Neural Netw…
Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks
Tommaso Sorgente, Fabio Vicini, Stefano Berrone +3
We propose a quality-based optimization strategy to reduce the total number of degrees of freedom associated to a discrete problem defined over a polygonal tessellation with the Vi…
Solving PDEs by Variational Physics-Informed Neural Networks: an a posteriori error analysis
Stefano Berrone, Claudio Canuto, Moreno Pintore
We consider the discretization of elliptic boundary-value problems by variational physics-informed neural networks (VPINNs), in which test functions are continuous, piecewise linea…
A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions
Stefano Berrone, Denise Grappein, Stefano Scialò
A numerical method for coupled 3D-1D problems with discontinuous solutions at the interfaces is derived and discussed. This extends a previous work on the subject where only contin…