Beirão da Veiga, Lourenço; Liu, Yi; Mascotto, Lorenzo; Russo, Alessandro The nonconforming virtual element method with curved edges. (English) Zbl 07818688 J. Sci. Comput. 99, No. 1, Paper No. 23, 35 p. (2024). MSC: 65N30 65N50 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., J. Sci. Comput. 99, No. 1, Paper No. 23, 35 p. (2024; Zbl 07818688) Full Text: DOI arXiv
Gomez, Sergio; Mascotto, Lorenzo; Moiola, Andrea; Perugia, Ilaria Space-time virtual elements for the heat equation. (English) Zbl 07794528 SIAM J. Numer. Anal. 62, No. 1, 199-228 (2024). MSC: 65M60 35K05 65M12 65M15 35K05 35Q79 PDFBibTeX XMLCite \textit{S. Gomez} et al., SIAM J. Numer. Anal. 62, No. 1, 199--228 (2024; Zbl 07794528) Full Text: DOI arXiv
Mascotto, Lorenzo The role of stabilization in the virtual element method: a survey. (English) Zbl 07783938 Comput. Math. Appl. 151, 244-251 (2023). MSC: 65N30 65N12 65N15 65N50 35J25 PDFBibTeX XMLCite \textit{L. Mascotto}, Comput. Math. Appl. 151, 244--251 (2023; Zbl 07783938) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Mascotto, Lorenzo Stability and interpolation properties of serendipity nodal virtual elements. (English) Zbl 07708810 Appl. Math. Lett. 142, Article ID 108639, 9 p. (2023). MSC: 65Nxx 41Axx 65-XX PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{L. Mascotto}, Appl. Math. Lett. 142, Article ID 108639, 9 p. (2023; Zbl 07708810) Full Text: DOI
Dong, Z.; Mascotto, L. \(hp\)-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem. (English) Zbl 07708372 J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023). MSC: 65N30 65N50 65N12 65N15 31A30 76D07 35Q35 PDFBibTeX XMLCite \textit{Z. Dong} and \textit{L. Mascotto}, J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023; Zbl 07708372) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Dassi, Franco; Manzini, Gianmarci; Mascotto, Lorenzo The virtual element method for the 3D resistive magnetohydrodynamic model. (English) Zbl 1514.76049 Math. Models Methods Appl. Sci. 33, No. 3, 643-686 (2023). MSC: 76M10 65N12 65N15 65N30 76E25 76W05 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 33, No. 3, 643--686 (2023; Zbl 1514.76049) Full Text: DOI arXiv
Meng, Jian; Beirão da Veiga, Lourenço; Mascotto, Lorenzo Stability and interpolation properties for Stokes-like virtual element spaces. (English) Zbl 1516.65137 J. Sci. Comput. 94, No. 3, Paper No. 56, 23 p. (2023). MSC: 65N30 65N50 65D05 65N12 76D07 35Q35 PDFBibTeX XMLCite \textit{J. Meng} et al., J. Sci. Comput. 94, No. 3, Paper No. 56, 23 p. (2023; Zbl 1516.65137) Full Text: DOI arXiv
Beirão da Veiga, L.; Mascotto, L.; Meng, J. Interpolation and stability estimates for edge and face virtual elements of general order. (English) Zbl 1497.65218 Math. Models Methods Appl. Sci. 32, No. 8, 1589-1631 (2022). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 32, No. 8, 1589--1631 (2022; Zbl 1497.65218) Full Text: DOI arXiv
Beirão da Veiga, L.; Dassi, F.; Manzini, G.; Mascotto, L. Virtual elements for Maxwell’s equations. (English) Zbl 1493.65191 Comput. Math. Appl. 116, 82-99 (2022). MSC: 65N30 78M10 65N15 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Math. Appl. 116, 82--99 (2022; Zbl 1493.65191) Full Text: DOI arXiv
Dassi, F.; Gedicke, J.; Mascotto, L. Adaptive virtual element methods with equilibrated fluxes. (English) Zbl 1489.65157 Appl. Numer. Math. 173, 249-278 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N12 65N50 35J05 PDFBibTeX XMLCite \textit{F. Dassi} et al., Appl. Numer. Math. 173, 249--278 (2022; Zbl 1489.65157) Full Text: DOI arXiv
Artioli, E.; Mascotto, L. Enrichment of the nonconforming virtual element method with singular functions. (English) Zbl 1502.65186 Comput. Methods Appl. Mech. Eng. 385, Article ID 114024, 41 p. (2021). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{E. Artioli} and \textit{L. Mascotto}, Comput. Methods Appl. Mech. Eng. 385, Article ID 114024, 41 p. (2021; Zbl 1502.65186) Full Text: DOI arXiv
Chernov, A.; Marcati, C.; Mascotto, L. \(p\)- and \(hp\)-virtual elements for the Stokes problem. (English) Zbl 1475.65187 Adv. Comput. Math. 47, No. 2, Paper No. 24, 31 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{A. Chernov} et al., Adv. Comput. Math. 47, No. 2, Paper No. 24, 31 p. (2021; Zbl 1475.65187) Full Text: DOI arXiv
Dong, Zhaonan; Mascotto, Lorenzo; Sutton, Oliver J. Residual-based a posteriori error estimates for \(hp\)-discontinuous Galerkin discretizations of the biharmonic problem. (English) Zbl 1473.65297 SIAM J. Numer. Anal. 59, No. 3, 1273-1298 (2021). MSC: 65N30 65N12 65N15 65N50 31A30 PDFBibTeX XMLCite \textit{Z. Dong} et al., SIAM J. Numer. Anal. 59, No. 3, 1273--1298 (2021; Zbl 1473.65297) Full Text: DOI arXiv
Čertík, O.; Gardini, Francesca; Manzini, G.; Mascotto, Lorenzo; Vacca, Giuseppe The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems. (English) Zbl 1452.65326 Comput. Math. Appl. 79, No. 7, 2035-2056 (2020). MSC: 65N30 65N25 65N12 35Q55 PDFBibTeX XMLCite \textit{O. Čertík} et al., Comput. Math. Appl. 79, No. 7, 2035--2056 (2020; Zbl 1452.65326) Full Text: DOI arXiv
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander A nonconforming Trefftz virtual element method for the Helmholtz problem. (English) Zbl 1431.65218 Math. Models Methods Appl. Sci. 29, No. 9, 1619-1656 (2019). MSC: 65N30 35J05 65N12 65N15 35A15 PDFBibTeX XMLCite \textit{L. Mascotto} et al., Math. Models Methods Appl. Sci. 29, No. 9, 1619--1656 (2019; Zbl 1431.65218) Full Text: DOI arXiv
Beirão da Veiga, L.; Manzini, G.; Mascotto, L. A posteriori error estimation and adaptivity in hp virtual elements. (English) Zbl 1428.65076 Numer. Math. 143, No. 1, 139-175 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Numer. Math. 143, No. 1, 139--175 (2019; Zbl 1428.65076) Full Text: DOI arXiv
Mascotto, Lorenzo Ill-conditioning in the virtual element method: stabilizations and bases. (English) Zbl 1407.65294 Numer. Methods Partial Differ. Equations 34, No. 4, 1258-1281 (2018). MSC: 65N30 35J05 41A10 65F35 15A12 PDFBibTeX XMLCite \textit{L. Mascotto}, Numer. Methods Partial Differ. Equations 34, No. 4, 1258--1281 (2018; Zbl 1407.65294) Full Text: DOI arXiv
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions. (English) Zbl 1406.65117 J. Sci. Comput. 77, No. 3, 1874-1908 (2018). MSC: 65N30 65N12 65N15 35J05 31A05 PDFBibTeX XMLCite \textit{L. Mascotto} et al., J. Sci. Comput. 77, No. 3, 1874--1908 (2018; Zbl 1406.65117) Full Text: DOI arXiv
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. Exponential convergence of the \(hp\) virtual element method in presence of corner singularities. (English) Zbl 1387.65117 Numer. Math. 138, No. 3, 581-613 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Numer. Math. 138, No. 3, 581--613 (2018; Zbl 1387.65117) Full Text: DOI arXiv
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. Basic principles of \(hp\) virtual elements on quasiuniform meshes. (English) Zbl 1344.65109 Math. Models Methods Appl. Sci. 26, No. 8, 1567-1598 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N30 65N12 65N50 35J05 65N15 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 26, No. 8, 1567--1598 (2016; Zbl 1344.65109) Full Text: DOI arXiv