75 citations · 369 across the 32 of their papers we have counts for
35 papers
A Fictitious Domain Formulation with Bubble Enrichment
Stefano Berrone, Lorenzo Neva, Stefano Scialò +1
The fictitious domain method offers a powerful alternative to circumvent complex mesh generation process by embedding the complex physical domain into a simpler, non-matching backg…
A 3D-1D Virtual Element Method for Modeling Root Water Uptake
Stefano Berrone, Stefano Ferraris, Denise Grappein +2
An optimization-based strategy is proposed for coupling three-dimensional and one-dimensional problems (3D-1D coupling) in the context of soil-root interaction simulations. This st…
The lowest-order Neural Approximated Virtual Element Method on polygonal elements
Stefano Berrone, Moreno Pintore, Gioana Teora
The lowest-order Neural Approximated Virtual Element Method on polygonal elements is proposed here. This method employs a neural network to locally approximate the Virtual Element…
A stabilized three fields formulation for Discrete Fracture Networks
Stefano Berrone, Silvia Bertoluzza, Stefano Scialò
We propose a hybridized domain decomposition formulation of the discrete fracture network model, allowing for independent discretization of the individual fractures. A natural norm…
3D Adaptive VEM with stabilization-free a posteriori error bounds
Stefano Berrone, Davide Fassino, Fabio Vicini
The present paper extends the theory of Adaptive Virtual Element Methods (AVEMs) to the three-dimensional meshes showing the possibility to bound the stabilization term by the resi…
Meshfree Variational Physics Informed Neural Networks (MF-VPINN): an adaptive training strategy
Stefano Berrone, Moreno Pintore
In this paper, we introduce a Meshfree Variational-Physics-Informed Neural Network. It is a Variational-Physics-Informed Neural Network that does not require the generation of the…