Journal articles

2022

Berrone, S., Grappein, D., Scialò, S. (2022), 3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition. In: Journal of Computational Physics, vol. 448, DOI: 10.1016/j.jcp.2021.110738.

2021

Borio, A., Hamon, F.P., Castelletto, N., White, J.A., Settgast, R.R. (2021), Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics. In: Computer Methods in Applied Mechanics and Engineering, vol. 383, DOI: 10.1016/j.cma.2021.113917.
Borio, A., Fumagalli, A., Scialò, S. (2021), Comparison of the response to geometrical complexity of methods for unstationary simulations in discrete fracture networks with conforming, polygonal, and non-matching grids. In: Computational Geosciences, vol. 25, n. 1, pp. 143-162, DOI: 10.1007/s10596-020-09996-9.
Dassi, F., Fumagalli, A., Losapio, D., Scialò, S., Scotti, A., Vacca, G. (2021), The mixed virtual element method on curved edges in two dimensions. In: Computer Methods in Applied Mechanics and Engineering, vol. 386, DOI: 10.1016/j.cma.2021.114098.
Serazio, C., Tamburini, M., Verga, F., Berrone, S. (2021), Geological surface reconstruction from 3D point clouds. In: MethodsX, vol. 8, DOI: 10.1016/j.mex.2021.101398.
Berrone, S., Della Santa, F. (2021), Performance analysis of multi-task deep learning models for flux regression in discrete fracture networks. In: Geosciences (Switzerland), vol. 11, n. 3, pp. 1-24, DOI: 10.3390/geosciences11030131.
Berrone, S., Grappein, D., Pieraccini, S., Scialo, S. (2021), A three-field based optimization formulation for flow simulations in networks of fractures on nonconforming meshes. In: SIAM Journal on Scientific Computing, vol. 43, n. 2, pp. B381-B404, DOI: 10.1137/20M1319188.
Berrone, S., Borio, A., D’Auria, A. (2021), Refinement strategies for polygonal meshes applied to adaptive VEM discretization. In: Finite Elements in Analysis and Design, vol. 186, DOI: 10.1016/j.finel.2020.103502.
Berrone, S., D’Auria, A., Scialò, S. (2021), An optimization approach for flow simulations in poro-fractured media with complex geometries. In: Computational Geosciences, vol. 25, n. 3, pp. 897-910, DOI: 10.1007/s10596-020-10029-8.
Berrone, S., Vicini, F. (2021), A Reduced Basis Method for a PDE-constrained optimization formulation in Discrete Fracture Network flow simulations. In: Computers and Mathematics with Applications, vol. 99, pp. 182-194, DOI: 10.1016/j.camwa.2021.08.006.
Berrone, S., Della Santa, F., Mastropietro, A., Pieraccini, S., Vaccarino, F. (2021), Layer-wise relevance propagation for backbone identification in discrete fracture networks. In: Journal of Computational Science, vol. 55, DOI: 10.1016/j.jocs.2021.101458.
Berrone, S., Della Santa, F., Pieraccini, S., Vaccarino, F. (2021), Machine learning for flux regression in discrete fracture networks. In: GEM - International Journal on Geomathematics, vol. 12, n. 1, DOI: 10.1007/s13137-021-00176-0.
Pintore, M., Pichi, F., Hess, M., Rozza, G., Canuto, C. (2021), Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. In: Advances in Computational Mathematics, vol. 47, n. 1, DOI: 10.1007/s10444-020-09827-6.

2020

Carlini, E., Festa, A., Forcadel, N. (2020), A semi-lagrangian scheme for hamilton-jacobi-bellman equations on networks. In: SIAM Journal on Numerical Analysis, vol. 58, n. 6, pp. 3165-3196, DOI: 10.1137/19M1260931.
Cacace, S., Ferretti, R., Festa, A. (2020), Stochastic hybrid differential games and match race problems. In: Applied Mathematics and Computation, vol. 372, DOI: 10.1016/j.amc.2019.124966.
Pieraccini, S. (2020), Uncertainty quantification analysis in discrete fracture network flow simulations. In: GEM - International Journal on Geomathematics, vol. 11, n. 1, DOI: 10.1007/s13137-020-0148-0.
Berrone, S., Hyman, J.D., Pieraccini, S. (2020), Multilevel Monte Carlo Predictions of First Passage Times in Three-Dimensional Discrete Fracture Networks: A Graph-Based Approach. In: Water Resources Research, vol. 56, n. 6, DOI: 10.1029/2019WR026493.

2019

Wang, B., Feng, Y., Pieraccini, S., Scialo’, S., Fidelibus, C. (2019), Iterative coupling algorithms for large multidomain problems with the boundary element method. In: International Journal for Numerical Methods in Engineering, vol. 117, n. 1, pp. 1-14, DOI: 10.1002/nme.5943.
Fumagalli, A., Keilegavlen, E., Scialo’, S (2019), Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations. In: Journal of Computational Physics, vol. 376, pp. 694-712, DOI: 10.1016/j.jcp.2018.09.048.
Berrone, S., D’Auria, A. Vicini, F. (2019), Fast and robust flow simulations in discrete fracture networks with GPGPUs. In: International Journal on Geomathematics, vol. 10, n. 8, pp. 1-28, DOI: 10.1007/s13137-019-0121-y.
Berrone, S., Scialò, S., Vicini, F. (2019), Parallel Meshing, Discretization, and Computation of Flow in Massive Discrete Fracture Networks. In: SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 41, n. 4, pp. C317-C338, DOI: 10.1137/18M1228736.
Berrone, S., Borio, A., Vicini, F. (2019), Reliable a posteriori mesh adaptivity in Discrete Fracture Network flow simulations. In: Computer Methods in Applied Mechanics and Engineering, vol. 354, pp. 904-931, DOI: 10.1016/j.cma.2019.06.007.
Berrone, S., Bonito, A., Stevenson, R., Verani M. (2019), An optimal adaptive fictitious domain method. In: Mathematics of Computation, vol. 88, n. 319, pp. 2101-2134, DOI: 10.1090/mcom/3414.
Antonietti, P.F., Berrone, S., Verani, M., Weisser, S. (2019), The virtual element method on anisotropic polygonal discretizations. In: Lecture Notes in Computational Science and Engineering, vol. 126, pp. 725-733, DOI: 10.1007/978-3-319-96415-7_67.
Berrone, S., Borio, A., Pieraccini, S., Scialò, S. (2019), New strategies for the simulation of the flow in three dimensional poro-fractured media. In: Lecture Notes in Computational Science and Engineering, vol. 126, pp. 715-723, DOI: 10.1007/978-3-319-96415-7_66.
Berrone, S., Benedetto, M.F., Borio, A., Pieraccini, S., Scialò, S. (2019), The virtual element method for the transport of passive scalars in discrete fracture networks. In: Lecture Notes in Computational Science and Engineering, vol. 126, pp. 501-508, DOI: 10.1007/978-3-319-96415-7_45.
Canuto, C., Pieraccini, S., Xiu, D. (2019), Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy. In: Journal of Computational Physics, vol. 398, DOI: 10.1016/j.jcp.2019.108885.
Berrone, S., Bonito, A., Stevenson, R., Verani M. (2019), An optimal adaptive fictitious domain method. In: Mathematics of Computation, vol. 88, n. 319, pp. 2101-2134, DOI: 10.1090/mcom/3414.

2018

Berrone, S.; Borio, A.; Manzini, G. (2018), SUPG stabilization for the nonconforming virtual element method for advection–diffusion–reaction equations. In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 340, pp. 500-529, DOI: 10.1016/j.cma.2018.05.027, ISSN: 0045-7825.
Berrone, S.; Borio, A.; Fidelibus, C.; Pieraccini, S.; Scialo’, S.; Vicini, F. (2018), Advanced computation of steady-state fluid flow in Discrete Fracture-Matrix models: FEM–BEM and VEM–VEM fracture-block coupling. In: INTERNATIONAL JOURNAL ON GEOMATHEMATICS, DOI: 10.1007/s13137-018-0105-3, ISSN: 1869-2680.
Berrone, S., Fidelibus, C., Pieraccini, S., Scialo’, S., Vicini, F. (2018), Unsteady advection-diffusion simulations in complex Discrete Fracture Networks with an optimization approach. In: Journal of Hydrology, vol. 566, pp. 332-345, DOI: 10.1016/j.jhydrol.2018.09.031.
Xu, C., Fidelibus, C., Dowd, P., Wang, Z., Tian, Z. (2018), An iterative procedure for the simulation of the steady-state fluid flow in rock fracture networks. In: Engineering Geology, vol. 242, pp. 160-168, DOI: 10.1016/j.enggeo.2018.06.005.

2017

Berrone, S.; Pieraccini, S.; Scialò, S. (2017), Non-stationary transport phenomena in networks of fractures: effective simulations and stochastic analysis. In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 315, pp. 1098-1112, DOI: 10.1016/j.cma.2016.12.006, ISSN: 0045-7825.
Berrone, S.; Pieraccini, S.; Scialò, S. (2017), Flow simulations in porous media with immersed intersecting fractures. In: JOURNAL OF COMPUTATIONAL PHYSICS, vol. 345, pp. 768-791, DOI: 10.1016/j.jcp.2017.05.049, ISSN: 0021-9991.
Benedetto, M. F.; Borio, A.; Scialò, S. (2017), Mixed Virtual Elements for discrete fracture network simulations. In: FINITE ELEMENTS IN ANALYSIS AND DESIGN, vol. 134, pp. 55-67, DOI: 10.1016/j.finel.2017.05.011, ISSN: 0168-874X.
Berrone, S.; Borio, A. (2017), A Residual A Posteriori error estimate for the Virtual Element Method. In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, vol. 27, n. 8, pp. 1423-1458, DOI: 10.1142/S0218202517500233, ISSN: 0218-2025.
Berrone, S.; Borio, A. (2017), Orthogonal polynomials in badly shaped polygonal elements for the Virtual Element Method. In: FINITE ELEMENTS IN ANALYSIS AND DESIGN, vol. 129, pp. 14-31, DOI: 10.1016/j.finel.2017.01.006, ISSN: 0168-874X.

2016

Benedetto, M. F.; Berrone, S.; Borio, A.; Pieraccini, S.; Scialo’, S. (2016), A hybrid mortar virtual element method for discrete fracture network simulations. In: JOURNAL OF COMPUTATIONAL PHYSICS, vol. 306, pp. 148-166, DOI: 10.1016/j.jcp.2015.11.034, ISSN: 0021-9991.
Benedetto, M. F.; Berrone, S.; Borio, A.; Pieraccini, S.; Scialò, S. (2016), Order preserving SUPG stabilization for the Virtual Element formulation of advection-diffusion problems. In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 311, pp. 18-40, DOI: 10.1016/j.cma.2016.07.043, ISSN: 0045-7825.
Berrone, S.; Borio, A.; Scialò, S. (2016), A posteriori error estimate for a PDE-constrained optimization formulation for the flow in DFNs. In: SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 54, n. 1, pp. 242-261, DOI: 10.1137/15M1014760, ISSN: 0036-1429.
Benedetto, M. F.; Berrone, S.; Scialo’, S. (2016), A globally conforming method for solving flow in discrete fracture networks using the Virtual Element Method. In: FINITE ELEMENTS IN ANALYSIS AND DESIGN, vol. 109, pp. 23-36, DOI: 10.1016/j.finel.2015.10.003, ISSN: 0168-874X.
Berrone, S.; Pieraccini, S.; Scialò, S. (2016), Towards effective flow simulations in realistic Discrete Fracture Networks. In: JOURNAL OF COMPUTATIONAL PHYSICS, vol. 310, pp. 181-201, DOI: 10.1016/j.jcp.2016.01.009, ISSN: 0021-9991.

2015

Berrone, S.; Canuto, C.; Pieraccini, S.; Scialò, S. (2015), Uncertainty quantification in Discrete Fracture Network models: stochastic fracture transmissivity. In: COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 70, n. 4, pp. 603-623, DOI: 10.1016/j.camwa.2015.05.013, ISSN: 0898-1221.
Berrone, S.; Pieraccini, S.; Scialo’, S.; Vicini, F. (2015), A parallel solver for large scale DFN flow simulations. In: SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 37, n. 3, pp. C285-C306, DOI: 10.1137/140984014, ISSN: 1064-8275.

2014

Berrone, S.; Pieraccini, S.; Scialò, S. (2014), An optimization approach for large scale simulations of discrete fracture network flows. In: JOURNAL OF COMPUTATIONAL PHYSICS, vol. 256, n. 1, pp. 838-853, DOI: 10.1016/j.jcp.2013.09.028, ISSN: 0021-9991.
Berrone, S.; Fidelibus, C.; Pieraccini, S.; Scialò, S. (2014), Simulation of the steady-state flow in Discrete Fracture Networks with non conforming meshes and extended finite elements. In: ROCK MECHANICS AND ROCK ENGINEERING, vol. 47, n. 6, pp. 2171-2182, DOI: 10.1007/s00603-013-0513-5, ISSN: 0723-2632.
Benedetto, M. F.; Berrone, S.; Pieraccini, S.; Scialò, S. (2014), The Virtual Element Method for discrete fracture network simulations. In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 280, n. 1, pp. 135-156, DOI: 10.1016/j.cma.2014.07.016, ISSN: 0045-7825.

2013

Berrone, S.; Pieraccini, S.; Scialò, S. (2013), On simulations of discrete fracture network flows with an optimization-based extended finite element method. In: SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 35, n. 2, pp. A908-A935, DOI: 10.1137/120882883, ISSN: 1064-8275.
Berrone, S.; Pieraccini, S.; Scialò, S. (2013), A PDE-constrained optimization formulation for discrete fracture network flows. In: SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol. 35, n. 2, pp. B487-B510, DOI: 10.1137/120865884, ISSN: 1064-8275.

2012

Fidelibus, C., Lenti, V. (2012), The propagation of grout in pipe networks. In: Computers and Geosciences, vol. 45, pp. 331-336, DOI: 10.1016/j.cageo.2011.11.015.

2007

Fidelibus, C. (2007), The 2D hydro-mechanically coupled response of a rock mass with fractures via a mixed BEM-FEM technique. In: INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, vol. 31, n. 11, pp. 1329-1348, DOI: 10.1002/nag.596.

2003

Lenti, V.; Fidelibus, C. (2003), A BEM solution of steady-state flow problems in discrete fracture networks with minimization of core storage. In: COMPUTERS & GEOSCIENCE, vol. 29, pp. 1183-1190, DOI: 10.1016/S0098-3004(03)00140-7.

1999

Dershowitz, W.S., Fidelibus, C. (1999), Derivation of equivalent pipe network analogues for three-dimensional discrete fracture networks by the boundary element method. In: Water Resources Research, vol. 35, n. 9, pp. 2685-2691, DOI: 10.1029/1999WR900118.

Book chapters and conference proceedings

Berrone, S., Borio, A., Pieraccini, S., Scialò, S. (2019), New strategies for the simulationof the flow in three dimensional poro-fractured media. In: Lecture Notes in Computational Science and Engineering - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, vol. 126, pp. 715-723, DOI: 10.1007/978-3-319-96415-7_66, ISBN 978-331996414-0.
Berrone, S., Benedetto, M.F., Borio, A., Pieraccini, S., Scialò, S. (2019), The virtual element method for the transport of passive scalars in discrete fracture networks. In: Lecture Notes in Computational Science and Engineering - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, vol. 126, pp. 501-508, DOI: 10.1007/978-3-319-96415-7_45, ISBN 978-331996414-0.
Benedetto, M. F.; Berrone, S.; Borio, A.; Pieraccini, S.; Scialò, S. (2016), The virtual element method for Discrete Fracture Network flow and transport simulations. In: ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, vol. 2, pp. 2953-2970, DOI: 10.7712/100016.2008.6334, ISBN 978-618-82844-0-1.
Benedetto, M. F.; Berrone, S.; Borio, A. (2016), The virtual element method for underground flow simulations in fractured media. In: Advances in Discretization Methods, vol. 12, pp. 167-186, DOI: 10.1007/978-3-319-41246-7_8, ISBN 978-3-319-41246-7.
Benedetto, Matìas Fernando; Berrone, S.; Borio, A.; Pieraccini, S.; Scialò, S. (2015), The Virtual Element Method for large scale Discrete Fracture Network simulations: fracture-independent mesh generation. In: PAMM, DOI: 10.1002/pamm.201510006.
Benedetto, M. F.; Berrone, S.; Pieraccini, S.; Scialò, S.; Vicini, F.; Fidelibus, C. (2014), A family of methods with arbitrary meshes for DFN flow simulations. In: DFNE 2014 International Discrete fracture network engineering conference.