Sorgente, Tommaso; Vicini, Fabio; Berrone, Stefano; Biasotti, Silvia; Manzini, Gianmarco; Spagnuolo, Michela Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks. (English) Zbl 07709622 Calcolo 60, No. 2, Paper No. 27, 27 p. (2023). MSC: 65N30 65N12 65N15 41A25 74R10 74S05 PDFBibTeX XMLCite \textit{T. Sorgente} et al., Calcolo 60, No. 2, Paper No. 27, 27 p. (2023; Zbl 07709622) Full Text: DOI arXiv
Berrone, Stefano; Borio, Andrea; Marcon, Francesca; Teora, Gioana A first-order stabilization-free virtual element method. (English) Zbl 07708812 Appl. Math. Lett. 142, Article ID 108641, 6 p. (2023). MSC: 65Nxx 35Jxx 65-XX PDFBibTeX XMLCite \textit{S. Berrone} et al., Appl. Math. Lett. 142, Article ID 108641, 6 p. (2023; Zbl 07708812) Full Text: DOI arXiv
Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco Agglomeration-based geometric multigrid schemes for the virtual element method. (English) Zbl 1512.65290 SIAM J. Numer. Anal. 61, No. 1, 223-249 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N55 65N50 65N30 65N22 65N12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Numer. Anal. 61, No. 1, 223--249 (2023; Zbl 1512.65290) Full Text: DOI arXiv
Berrone, Stefano; Busetto, Martina; Vicini, Fabio Virtual element simulation of two-phase flow of immiscible fluids in discrete fracture networks. (English) Zbl 07625404 J. Comput. Phys. 473, Article ID 111735, 26 p. (2023). MSC: 65Nxx 76Sxx 76Mxx PDFBibTeX XMLCite \textit{S. Berrone} et al., J. Comput. Phys. 473, Article ID 111735, 26 p. (2023; Zbl 07625404) Full Text: DOI
Berrone, Stefano; Borio, Andrea; Marcon, Francesca Comparison of standard and stabilization free virtual elements on anisotropic elliptic problems. (English) Zbl 1487.65176 Appl. Math. Lett. 129, Article ID 107971, 5 p. (2022). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{S. Berrone} et al., Appl. Math. Lett. 129, Article ID 107971, 5 p. (2022; Zbl 1487.65176) Full Text: DOI arXiv
Berrone, Stefano; Busetto, Martina A virtual element method for the two-phase flow of immiscible fluids in porous media. (English) Zbl 1484.65200 Comput. Geosci. 26, No. 1, 195-216 (2022). MSC: 65M50 65M60 76S05 76T99 PDFBibTeX XMLCite \textit{S. Berrone} and \textit{M. Busetto}, Comput. Geosci. 26, No. 1, 195--216 (2022; Zbl 1484.65200) Full Text: DOI
Berrone, Stefano; D’Auria, Alessandro; Scialò, Stefano An optimization approach for flow simulations in poro-fractured media with complex geometries. (English) Zbl 1460.65140 Comput. Geosci. 25, No. 3, 897-910 (2021). MSC: 65N30 76S05 86-08 PDFBibTeX XMLCite \textit{S. Berrone} et al., Comput. Geosci. 25, No. 3, 897--910 (2021; Zbl 1460.65140) Full Text: DOI arXiv
Berrone, S.; D’Auria, A.; Vicini, F. Fast and robust flow simulations in discrete fracture networks with gpgpus. (English) Zbl 1422.86001 GEM. Int. J. Geomath. 10, No. 1, Paper No. 8, 28 p. (2019). MSC: 86-08 86A05 76M10 65N30 68U20 68W10 68W40 PDFBibTeX XMLCite \textit{S. Berrone} et al., GEM. Int. J. Geomath. 10, Paper No. 8, 28 p. (2019; Zbl 1422.86001) Full Text: DOI
Berrone, S.; Borio, A.; Manzini, G. SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations. (English) Zbl 1440.65182 Comput. Methods Appl. Mech. Eng. 340, 500-529 (2018). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{S. Berrone} et al., Comput. Methods Appl. Mech. Eng. 340, 500--529 (2018; Zbl 1440.65182) Full Text: DOI arXiv
Berrone, S.; Borio, A.; Fidelibus, C.; Pieraccini, S.; Scialò, S.; Vicini, F. Advanced computation of steady-state fluid flow in discrete fracture-matrix models: FEM-BEM and VEM-VEM fracture-block coupling. (English) Zbl 1419.65103 GEM. Int. J. Geomath. 9, No. 2, 377-399 (2018). MSC: 65N30 65N38 65N50 68U20 86-08 86A05 86A60 76S05 49K20 PDFBibTeX XMLCite \textit{S. Berrone} et al., GEM. Int. J. Geomath. 9, No. 2, 377--399 (2018; Zbl 1419.65103) Full Text: DOI
Berrone, Stefano; Pieraccini, Sandra; Scialò, Stefano Flow simulations in porous media with immersed intersecting fractures. (English) Zbl 1378.76107 J. Comput. Phys. 345, 768-791 (2017). MSC: 76S05 76M15 76M30 PDFBibTeX XMLCite \textit{S. Berrone} et al., J. Comput. Phys. 345, 768--791 (2017; Zbl 1378.76107) Full Text: DOI Link
Berrone, Stefano; Borio, Andrea A residual a posteriori error estimate for the virtual element method. (English) Zbl 1376.65136 Math. Models Methods Appl. Sci. 27, No. 8, 1423-1458 (2017). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N15 65N30 65N50 35R05 35J05 PDFBibTeX XMLCite \textit{S. Berrone} and \textit{A. Borio}, Math. Models Methods Appl. Sci. 27, No. 8, 1423--1458 (2017; Zbl 1376.65136) Full Text: DOI
Benedetto, M. F.; Berrone, S.; Borio, A.; Pieraccini, S.; Scialò, S. Order preserving SUPG stabilization for the virtual element formulation of advection-diffusion problems. (English) Zbl 1439.76051 Comput. Methods Appl. Mech. Eng. 311, 18-40 (2016). MSC: 76M10 65N30 65N12 PDFBibTeX XMLCite \textit{M. F. Benedetto} et al., Comput. Methods Appl. Mech. Eng. 311, 18--40 (2016; Zbl 1439.76051) Full Text: DOI
Benedetto, Matías Fernando; Berrone, Stefano; Borio, Andrea; Pieraccini, Sandra; Scialò, Stefano A hybrid mortar virtual element method for discrete fracture network simulations. (English) Zbl 1351.76048 J. Comput. Phys. 306, 148-166 (2016). MSC: 76M10 65N30 74R10 76S05 PDFBibTeX XMLCite \textit{M. F. Benedetto} et al., J. Comput. Phys. 306, 148--166 (2016; Zbl 1351.76048) Full Text: DOI Link
Berrone, S.; Canuto, C.; Pieraccini, S.; Scialò, S. Uncertainty quantification in discrete fracture network models: stochastic fracture transmissivity. (English) Zbl 1443.76210 Comput. Math. Appl. 70, No. 4, 603-623 (2015). MSC: 76S05 74R20 60H35 PDFBibTeX XMLCite \textit{S. Berrone} et al., Comput. Math. Appl. 70, No. 4, 603--623 (2015; Zbl 1443.76210) Full Text: DOI
Benedetto, Matías Fernando; Berrone, Stefano; Pieraccini, Sandra; Scialò, Stefano The virtual element method for discrete fracture network simulations. (English) Zbl 1423.74863 Comput. Methods Appl. Mech. Eng. 280, 135-156 (2014). MSC: 74S05 74R10 65N30 74F10 76S05 PDFBibTeX XMLCite \textit{M. F. Benedetto} et al., Comput. Methods Appl. Mech. Eng. 280, 135--156 (2014; Zbl 1423.74863) Full Text: DOI Link