Towards a Realization of a Wavelet Galerkin Method on Non-Trivial Domains. - Stefano Berrone; Laurent Emmel (J. Sci. Comput., 2002)

Robustness in a posteriori error analysis for FEM flow models. - Stefano Berrone (Numerische Mathematik, 2002)

An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains. - Stefano Berrone; Tomás Kozubek (SIAM J. Sci. Comput., 2006)

Globalization strategies for Newton-Krylov methods for stabilized FEM discretization of Navier-Stokes equations. - Stefania Bellavia; Stefano Berrone (J. Comput. Phys., 2007)

A Local-in-Space-Timestep Approach to a Finite Element Discretization of the Heat Equation with a Posteriori Estimates. - Stefano Berrone (SIAM J. Numer. Anal., 2009)

A new marking strategy for the adaptive finite element approximation of optimal control constrained problems. - Stefano Berrone; Marco Verani (Optim. Methods Softw., 2011)

Coupling traffic models on networks and urban dispersion models for simulating sustainable mobility strategies. - Stefano Berrone; Francesca De Santi; Sandra Pieraccini; Massimo Marro (Comput. Math. Appl., 2012)

On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method. - Stefano Berrone; Sandra Pieraccini; Stefano Scialò (SIAM J. Sci. Comput., 2013)

A PDE-Constrained Optimization Formulation for Discrete Fracture Network Flows. - Stefano Berrone; Sandra Pieraccini; Stefano Scialò (SIAM J. Sci. Comput., 2013)

An optimization approach for large scale simulations of discrete fracture network flows. - Stefano Berrone; Sandra Pieraccini; Stefano Scialò (J. Comput. Phys., 2014)

Uncertainty quantification in Discrete Fracture Network models: Stochastic fracture transmissivity. - Stefano Berrone; Claudio Canuto; Sandra Pieraccini; Stefano Scialò (Comput. Math. Appl., 2015)

A Parallel Solver for Large Scale DFN Flow Simulations. - Stefano Berrone; Sandra Pieraccini; Stefano Scialò; Fabio Vicini (SIAM J. Sci. Comput., 2015)

A hybrid mortar virtual element method for discrete fracture network simulations. - Matías Fernando Benedetto; Stefano Berrone; Andrea Borio; Sandra Pieraccini; Stefano Scialò (J. Comput. Phys., 2016)

Towards effective flow simulations in realistic discrete fracture networks. - Stefano Berrone; Sandra Pieraccini; Stefano Scialò (J. Comput. Phys., 2016)

A Posteriori Error Estimate for a PDE-Constrained Optimization Formulation for the Flow in DFNs. - Stefano Berrone; Andrea Borio; Stefano Scialò (SIAM J. Numer. Anal., 2016)

Flow simulations in porous media with immersed intersecting fractures. - Stefano Berrone; Sandra Pieraccini; Stefano Scialò (J. Comput. Phys., 2017)

Refinement strategies for polygonal meshes applied to adaptive VEM discretization. - Stefano Berrone; Andrea Borio; Alessandro D'Auria (CoRR, 2019)

A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes. - Stefano Berrone; Denise Grappein; Sandra Pieraccini; Stefano Scialò (CoRR, 2019)

An optimal adaptive Fictitious Domain Method. - Stefano Berrone; Andrea Bonito; Rob Stevenson 001; Marco Verani (Math. Comput., 2019)

Parallel Meshing, Discretization, and Computation of Flow in Massive Discrete Fracture Networks. - Stefano Berrone; Stefano Scialò; Fabio Vicini (SIAM J. Sci. Comput., 2019)

Anisotropic a posteriori error estimate for the Virtual Element Method. - Paola Francesca Antonietti; Stefano Berrone; Andrea Borio; Alessandro D'Auria; Marco Verani; Steffen Weißer (CoRR, 2020)

An optimization approach for flow simulations in poro-fractured media with complex geometries. - Stefano Berrone; Alessandro D'Auria; Stefano Scialò (CoRR, 2020)

A Reduced Basis Method for a PDE-constrained optimization formulation in Discrete Fracture Network flow simulations. - Stefano Berrone; Fabio Vicini (Comput. Math. Appl., 2021)

Lowest order stabilization free Virtual Element Method for the Poisson equation. - Stefano Berrone; Andrea Borio; Francesca Marcon (CoRR, 2021)

A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems. - Stefano Berrone; Denise Grappein; Stefano Scialò; Fabio Vicini (CoRR, 2021)

Efficient partitioning and reordering of conforming virtual element discretizations for large scale Discrete Fracture Network flow parallel solvers. - Stefano Berrone; Alice Raeli (CoRR, 2021)

A new quality preserving polygonal mesh refinement algorithm for Virtual Element Methods. - Stefano Berrone; Alessandro D'Auria (CoRR, 2021)

Layer-wise relevance propagation for backbone identification in discrete fracture networks. - Stefano Berrone; Francesco Della Santa; Antonio Mastropietro; Sandra Pieraccini; Francesco Vaccarino (J. Comput. Sci., 2021)

A Three-field Based Optimization Formulation for Flow Simulations in Networks of Fractures on Nonconforming Meshes. - Stefano Berrone; Denise Grappein; Sandra Pieraccini; Stefano Scialò (SIAM J. Sci. Comput., 2021)

Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems. - Stefano Berrone; Andrea Borio; Francesca Marcon (Appl. Math. Lett., 2022)

A data-driven approach for the closure of RANS models by the divergence of the Reynolds Stress Tensor. - Stefano Berrone; Davide Oberto (CoRR, 2022)

Solving PDEs by Variational Physics-Informed Neural Networks: an a posteriori error analysis. - Stefano Berrone; Claudio Canuto; Moreno Pintore (CoRR, 2022)

Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks. - Tommaso Sorgente; Fabio Vicini; Stefano Berrone; Silvia Biasotti; Gianmarco Manzini; Michela Spagnuolo (CoRR, 2022)

Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. - Stefano Berrone; Claudio Canuto; Moreno Pintore; N. Sukumar (CoRR, 2022)

Weak scalability of domain decomposition methods for discrete fracture networks. - Stefano Berrone; Tommaso Vanzan (CoRR, 2022)

3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition. - Stefano Berrone; Denise Grappein; Stefano Scialò (J. Comput. Phys., 2022)

Variational Physics Informed Neural Networks: the Role of Quadratures and Test Functions. - Stefano Berrone; Claudio Canuto; Moreno Pintore (J. Sci. Comput., 2022)

Improving high order VEM stability on badly-shaped convex elements. - Stefano Berrone; Gioana Teora; Fabio Vicini (CoRR, 2023)

Orthogonal polynomial bases in the Mixed Virtual Element Method. - Stefano Berrone; Stefano Scialò; Gioana Teora (CoRR, 2023)

The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom. - Stefano Berrone; Stefano Scialò; Gioana Teora (CoRR, 2023)

The lowest-order Neural Approximated Virtual Element Method. - Stefano Berrone; Davide Oberto; Moreno Pintore; Gioana Teora (CoRR, 2023)

Virtual Element simulation of two-phase flow of immiscible fluids in Discrete Fracture Networks. - Stefano Berrone; Martina Busetto; Fabio Vicini (J. Comput. Phys., 2023)

Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method. - Paola F. Antonietti; Stefano Berrone; Martina Busetto; Marco Verani (SIAM J. Numer. Anal., 2023)

A first-order stabilization-free Virtual Element Method. - Stefano Berrone; Andrea Borio; Francesca Marcon; Gioana Teora (Appl. Math. Lett., 2023)

An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis. - Stefano Berrone; Chiara Giverso; Denise Grappein; Luigi Preziosi; Stefano Scialò (Comput. Math. Appl., 2023)

A stabilized three fields formulation for Discrete Fracture Networks. - Stefano Berrone; Silvia Bertoluzza; Stefano Scialò (CoRR, 2024)

The lowest-order Neural Approximated Virtual Element Method on polygonal elements. - Stefano Berrone; Moreno Pintore; Gioana Teora (CoRR, 2024)

A 3D-1D Virtual Element Method for Modeling Root Water Uptake. - Stefano Berrone; Stefano Ferraris; Denise Grappein; Gioana Teora; Fabio Vicini (CoRR, 2024)

A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions. - Stefano Berrone; Denise Grappein; Stefano Scialò (Numer. Algorithms, 2024)

Improving high-order VEM stability on badly-shaped elements. - Stefano Berrone; Gioana Teora; Fabio Vicini (Math. Comput. Simul., 2024)

Meshfree Variational-Physics-Informed Neural Networks (MF-VPINN): An Adaptive Training Strategy. - Stefano Berrone; Moreno Pintore (Algorithms, 2024)

Lowest order stabilization free virtual element method for the 2D Poisson equation. - Stefano Berrone; Andrea Borio; Francesca Marcon (Comput. Math. Appl., 2025)

Mesh optimization for the virtual element method: How small can an agglomerated mesh become? - Tommaso Sorgente; Fabio Vicini; Stefano Berrone; Silvia Biasotti; Gianmarco Manzini; Michela Spagnuolo (J. Comput. Phys., 2025)

Effective polygonal mesh generation and refinement for VEM. - Stefano Berrone; Fabio Vicini (Math. Comput. Simul., 2025)

3D Adaptive VEM with Stabilization-Free a Posteriori Error Bounds. - Stefano Berrone; Davide Fassino; Fabio Vicini (J. Sci. Comput., 2025)

POLYDIM: A C++ library for POLYtopal DIscretization Methods. - Stefano Berrone; Andrea Borio; Gioana Teora; Fabio Vicini (CoRR, 2025)

A residual a posteriori error estimate for the Stabilization-free Virtual Element Method. - Stefano Berrone; Andrea Borio; Davide Fassino; Francesca Marcon (CoRR, 2025)

The Neural Approximated Virtual Element Method for Elasticity Problems. - Stefano Berrone; Moreno Pintore; Gioana Teora (CoRR, 2025)