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2020 – today
- 2025
[j34]Stefano Berrone, Andrea Borio
, Francesca Marcon:
Lowest order stabilization free virtual element method for the 2D Poisson equation. Comput. Math. Appl. 177: 78-99 (2025)- [j33]Tommaso Sorgente, Fabio Vicini, Stefano Berrone, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
Mesh optimization for the virtual element method: How small can an agglomerated mesh become? J. Comput. Phys. 521: 113552 (2025) - [j32]Stefano Berrone, Fabio Vicini:
Effective polygonal mesh generation and refinement for VEM. Math. Comput. Simul. 231: 239-258 (2025) - 2024
- [j31]Stefano Berrone, Moreno Pintore:
Meshfree Variational-Physics-Informed Neural Networks (MF-VPINN): An Adaptive Training Strategy. Algorithms 17(9): 415 (2024) - [j30]Stefano Berrone, Gioana Teora, Fabio Vicini:
Improving high-order VEM stability on badly-shaped elements. Math. Comput. Simul. 216: 367-385 (2024) - [j29]Stefano Berrone, Denise Grappein, Stefano Scialò:
A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions. Numer. Algorithms 95(1): 499-526 (2024) - [i31]Stefano Berrone, Fabio Vicini:
Effective polygonal mesh generation and refinement for VEM. CoRR abs/2403.10203 (2024) - [i30]Tommaso Sorgente, Stefano Berrone, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo, Fabio Vicini:
Mesh Optimization for the Virtual Element Method: How Small Can an Agglomerated Mesh Become? CoRR abs/2404.11484 (2024) - [i29]Stefano Berrone, Moreno Pintore:
Meshfree Variational Physics Informed Neural Networks (MF-VPINN): an adaptive training strategy. CoRR abs/2406.19831 (2024) - [i28]Stefano Berrone, Davide Fassino, Fabio Vicini:
3D Adaptive VEM with stabilization-free a posteriori error bounds. CoRR abs/2407.17858 (2024) - [i27]Stefano Berrone, Silvia Bertoluzza, Stefano Scialò:
A stabilized three fields formulation for Discrete Fracture Networks. CoRR abs/2407.18434 (2024) - [i26]Stefano Berrone, Moreno Pintore, Gioana Teora:
The lowest-order Neural Approximated Virtual Element Method on polygonal elements. CoRR abs/2409.15917 (2024) - [i25]Stefano Berrone, Stefano Ferraris, Denise Grappein, Gioana Teora, Fabio Vicini:
A 3D-1D Virtual Element Method for Modeling Root Water Uptake. CoRR abs/2412.12884 (2024) - 2023
- [j28]Stefano Berrone, Andrea Borio, Francesca Marcon, Gioana Teora:
A first-order stabilization-free Virtual Element Method. Appl. Math. Lett. 142: 108641 (2023) - [j27]Stefano Berrone, Chiara Giverso, Denise Grappein, Luigi Preziosi, Stefano Scialò:
An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis. Comput. Math. Appl. 151: 252-270 (2023) - [j26]Stefano Berrone, Martina Busetto, Fabio Vicini:
Virtual Element simulation of two-phase flow of immiscible fluids in Discrete Fracture Networks. J. Comput. Phys. 473: 111735 (2023) - [j25]Paola F. Antonietti, Stefano Berrone, Martina Busetto, Marco Verani:
Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method. SIAM J. Numer. Anal. 61(1): 223-249 (2023) - [i24]Stefano Berrone, Andrea Borio, Francesca Marcon, Gioana Teora:
A first-order stabilization-free Virtual Element Method. CoRR abs/2302.00621 (2023) - [i23]Stefano Berrone, Gioana Teora, Fabio Vicini:
Improving high order VEM stability on badly-shaped convex elements. CoRR abs/2302.11284 (2023) - [i22]Stefano Berrone, Stefano Scialò, Gioana Teora:
Orthogonal polynomial bases in the Mixed Virtual Element Method. CoRR abs/2304.14755 (2023) - [i21]Stefano Berrone, Stefano Scialò, Gioana Teora:
The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom. CoRR abs/2307.16474 (2023) - [i20]Stefano Berrone, Davide Oberto, Moreno Pintore, Gioana Teora:
The lowest-order Neural Approximated Virtual Element Method. CoRR abs/2311.18534 (2023) - 2022
- [j24]Stefano Berrone, Andrea Borio, Francesca Marcon:
Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems. Appl. Math. Lett. 129: 107971 (2022) - [j23]Stefano Berrone, Denise Grappein, Stefano Scialò:
3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition. J. Comput. Phys. 448: 110738 (2022) - [j22]Stefano Berrone, Claudio Canuto, Moreno Pintore:
Variational Physics Informed Neural Networks: the Role of Quadratures and Test Functions. J. Sci. Comput. 92(3): 100 (2022) - [i19]Stefano Berrone, Andrea Borio, Francesca Marcon:
Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems. CoRR abs/2202.08571 (2022) - [i18]Stefano Berrone, Denise Grappein, Stefano Scialò:
A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions. CoRR abs/2203.01732 (2022) - [i17]Stefano Berrone, Davide Oberto:
A data-driven approach for the closure of RANS models by the divergence of the Reynolds Stress Tensor. CoRR abs/2203.16944 (2022) - [i16]Stefano Berrone, Claudio Canuto, Moreno Pintore:
Solving PDEs by Variational Physics-Informed Neural Networks: an a posteriori error analysis. CoRR abs/2205.00786 (2022) - [i15]Tommaso Sorgente, Fabio Vicini, Stefano Berrone, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks. CoRR abs/2208.09639 (2022) - [i14]Stefano Berrone, Claudio Canuto, Moreno Pintore, N. Sukumar:
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. CoRR abs/2210.14795 (2022) - [i13]Stefano Berrone, Tommaso Vanzan:
Weak scalability of domain decomposition methods for discrete fracture networks. CoRR abs/2211.12098 (2022) - [i12]Stefano Berrone, Chiara Giverso, Denise Grappein, Luigi Preziosi, Stefano Scialò:
An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis. CoRR abs/2212.00692 (2022) - 2021
- [j21]Stefano Berrone, Fabio Vicini:
A Reduced Basis Method for a PDE-constrained optimization formulation in Discrete Fracture Network flow simulations. Comput. Math. Appl. 99: 182-194 (2021) - [j20]Stefano Berrone, Francesco Della Santa, Antonio Mastropietro, Sandra Pieraccini, Francesco Vaccarino:
Layer-wise relevance propagation for backbone identification in discrete fracture networks. J. Comput. Sci. 55: 101458 (2021) - [j19]Stefano Berrone, Denise Grappein, Sandra Pieraccini, Stefano Scialò:
A Three-field Based Optimization Formulation for Flow Simulations in Networks of Fractures on Nonconforming Meshes. SIAM J. Sci. Comput. 43(2): B381-B404 (2021) - [i11]Stefano Berrone, Denise Grappein, Stefano Scialò:
3D-1D coupling on non conforming meshes via three-field optimization based domain decomposition. CoRR abs/2102.06601 (2021) - [i10]Stefano Berrone, Andrea Borio, Francesca Marcon:
Lowest order stabilization free Virtual Element Method for the Poisson equation. CoRR abs/2103.16896 (2021) - [i9]Stefano Berrone, Denise Grappein, Stefano Scialò, Fabio Vicini:
A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems. CoRR abs/2106.04890 (2021) - [i8]Stefano Berrone, Alice Raeli:
Efficient partitioning and reordering of conforming virtual element discretizations for large scale Discrete Fracture Network flow parallel solvers. CoRR abs/2106.10177 (2021) - [i7]Stefano Berrone, Claudio Canuto, Moreno Pintore:
Variational Physics Informed Neural Networks: the role of quadratures and test functions. CoRR abs/2109.02035 (2021) - [i6]Stefano Berrone, Alessandro D'Auria:
A new quality preserving polygonal mesh refinement algorithm for Virtual Element Methods. CoRR abs/2112.09888 (2021) - [i5]Paola Francesca Antonietti, Stefano Berrone, Martina Busetto, Marco Verani:
Agglomeration-based geometric multigrid schemes for the Virtual Element Method. CoRR abs/2112.11080 (2021) - 2020
- [i4]Paola Francesca Antonietti, Stefano Berrone, Andrea Borio, Alessandro D'Auria, Marco Verani, Steffen Weißer:
Anisotropic a posteriori error estimate for the Virtual Element Method. CoRR abs/2001.00381 (2020) - [i3]Stefano Berrone, Alessandro D'Auria, Stefano Scialò:
An optimization approach for flow simulations in poro-fractured media with complex geometries. CoRR abs/2004.04475 (2020)
2010 – 2019
- 2019
- [j18]Stefano Berrone, Andrea Bonito, Rob Stevenson, Marco Verani:
An optimal adaptive Fictitious Domain Method. Math. Comput. 88(319): 2101-2134 (2019) - [j17]Stefano Berrone, Stefano Scialò, Fabio Vicini:
Parallel Meshing, Discretization, and Computation of Flow in Massive Discrete Fracture Networks. SIAM J. Sci. Comput. 41(4): C317-C338 (2019) - [i2]Stefano Berrone, Andrea Borio, Alessandro D'Auria:
Refinement strategies for polygonal meshes applied to adaptive VEM discretization. CoRR abs/1912.05403 (2019) - [i1]Stefano Berrone, Denise Grappein, Sandra Pieraccini, Stefano Scialò:
A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes. CoRR abs/1912.09744 (2019) - 2017
- [j16]Stefano Berrone, Sandra Pieraccini, Stefano Scialò:
Flow simulations in porous media with immersed intersecting fractures. J. Comput. Phys. 345: 768-791 (2017) - 2016
- [j15]Matías Fernando Benedetto, Stefano Berrone, Andrea Borio, Sandra Pieraccini, Stefano Scialò:
A hybrid mortar virtual element method for discrete fracture network simulations. J. Comput. Phys. 306: 148-166 (2016) - [j14]Stefano Berrone, Sandra Pieraccini, Stefano Scialò:
Towards effective flow simulations in realistic discrete fracture networks. J. Comput. Phys. 310: 181-201 (2016) - [j13]Stefano Berrone, Andrea Borio, Stefano Scialò:
A Posteriori Error Estimate for a PDE-Constrained Optimization Formulation for the Flow in DFNs. SIAM J. Numer. Anal. 54(1): 242-261 (2016) - 2015
- [j12]Stefano Berrone, Claudio Canuto, Sandra Pieraccini, Stefano Scialò:
Uncertainty quantification in Discrete Fracture Network models: Stochastic fracture transmissivity. Comput. Math. Appl. 70(4): 603-623 (2015) - [j11]Stefano Berrone, Sandra Pieraccini, Stefano Scialò, Fabio Vicini:
A Parallel Solver for Large Scale DFN Flow Simulations. SIAM J. Sci. Comput. 37(3) (2015) - 2014
- [j10]Stefano Berrone, Sandra Pieraccini, Stefano Scialò:
An optimization approach for large scale simulations of discrete fracture network flows. J. Comput. Phys. 256: 838-853 (2014) - 2013
- [j9]Stefano Berrone, Sandra Pieraccini, Stefano Scialò:
On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method. SIAM J. Sci. Comput. 35(2) (2013) - [j8]Stefano Berrone, Sandra Pieraccini, Stefano Scialò:
A PDE-Constrained Optimization Formulation for Discrete Fracture Network Flows. SIAM J. Sci. Comput. 35(2) (2013) - 2012
- [j7]Stefano Berrone, Francesca De Santi, Sandra Pieraccini, Massimo Marro:
Coupling traffic models on networks and urban dispersion models for simulating sustainable mobility strategies. Comput. Math. Appl. 64(6): 1975-1991 (2012) - 2011
- [j6]Stefano Berrone, Marco Verani:
A new marking strategy for the adaptive finite element approximation of optimal control constrained problems. Optim. Methods Softw. 26(4-5): 747-775 (2011)
2000 – 2009
- 2009
- [j5]Stefano Berrone:
A Local-in-Space-Timestep Approach to a Finite Element Discretization of the Heat Equation with a Posteriori Estimates. SIAM J. Numer. Anal. 47(4): 3109-3138 (2009) - 2007
- [j4]Stefania Bellavia, Stefano Berrone:
Globalization strategies for Newton-Krylov methods for stabilized FEM discretization of Navier-Stokes equations. J. Comput. Phys. 226(2): 2317-2340 (2007) - 2006
- [j3]Stefano Berrone, Tomás Kozubek:
An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains. SIAM J. Sci. Comput. 28(6): 2114-2138 (2006) - 2002
- [j2]Stefano Berrone, Laurent Emmel:
Towards a Realization of a Wavelet Galerkin Method on Non-Trivial Domains. J. Sci. Comput. 17(1-4): 307-317 (2002) - [j1]Stefano Berrone:
Robustness in a posteriori error analysis for FEM flow models. Numerische Mathematik 91(3): 389-422 (2002)
Coauthor Index
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