Antonietti, Paola F.; Bonizzoni, Francesca; Verani, Marco A cVEM-DG space-time method for the dissipative wave equation. (English) Zbl 07801662 Comput. Math. Appl. 152, 341-354 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 152, 341--354 (2023; Zbl 07801662) Full Text: DOI arXiv
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M. Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. (English) Zbl 1512.65258 SIAM J. Numer. Anal. 61, No. 2, 457-494 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N15 65N12 65N85 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 61, No. 2, 457--494 (2023; Zbl 1512.65258) Full Text: DOI arXiv
Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Scacchi, Simone; Verani, Marco The conforming virtual element method for polyharmonic and elastodynamics problems: a review. (English) Zbl 1503.65215 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 411-451 (2022). MSC: 65M60 65M06 65N30 74B10 74R10 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 31, 411--451 (2022; Zbl 1503.65215) Full Text: DOI arXiv
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021). MSC: 86-08 86A15 74S05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 27, 159--225 (2021; Zbl 1470.86002) Full Text: DOI
Antonietti, Paola F.; Verani, Marco A multigrid algorithm for the \(p\)-version of the virtual element method. (English) Zbl 1397.65249 ESAIM, Math. Model. Numer. Anal. 52, No. 1, 337-364 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65F10 65F08 PDFBibTeX XMLCite \textit{P. F. Antonietti} and \textit{M. Verani}, ESAIM, Math. Model. Numer. Anal. 52, No. 1, 337--364 (2018; Zbl 1397.65249) Full Text: DOI arXiv
Antonietti, P. F.; Manzini, G.; Verani, M. The fully nonconforming virtual element method for biharmonic problems. (English) Zbl 1381.65090 Math. Models Methods Appl. Sci. 28, No. 2, 387-407 (2018). MSC: 65N30 65N15 35J30 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Models Methods Appl. Sci. 28, No. 2, 387--407 (2018; Zbl 1381.65090) Full Text: DOI arXiv
Antonietti, Paola F.; Bruggi, Matteo; Scacchi, Simone; Verani, Marco On the virtual element method for topology optimization on polygonal meshes: a numerical study. (English) Zbl 1391.74205 Comput. Math. Appl. 74, No. 5, 1091-1109 (2017). MSC: 74P15 49Q12 65K10 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 74, No. 5, 1091--1109 (2017; Zbl 1391.74205) Full Text: DOI arXiv
Antonietti, P. F.; Beirão da Veiga, L.; Scacchi, S.; Verani, M. A \(C^1\) virtual element method for the Cahn-Hilliard equation with polygonal meshes. (English) Zbl 1336.65160 SIAM J. Numer. Anal. 54, No. 1, 34-56 (2016). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Numer. Anal. 54, No. 1, 34--56 (2016; Zbl 1336.65160) Full Text: DOI arXiv
Beirão da Veiga, L.; Verani, M. A posteriori boundary control for FEM approximation of elliptic eigenvalue problems. (English) Zbl 1242.65230 Numer. Methods Partial Differ. Equations 28, No. 2, 369-388 (2012). MSC: 65N25 65N15 65N30 35P15 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{M. Verani}, Numer. Methods Partial Differ. Equations 28, No. 2, 369--388 (2012; Zbl 1242.65230) Full Text: DOI