Cremonesi, Massimiliano; Lamperti, Andrea; Lovadina, Carlo; Perego, Umberto; Russo, Alessandro Analysis of a stabilization-free quadrilateral virtual element for 2D linear elasticity in the Hu-Washizu formulation. (English) Zbl 07801618 Comput. Math. Appl. 155, 142-149 (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{M. Cremonesi} et al., Comput. Math. Appl. 155, 142--149 (2024; Zbl 07801618) Full Text: DOI
Lamperti, Andrea; Cremonesi, Massimiliano; Perego, Umberto; Russo, Alessandro; Lovadina, Carlo A Hu-Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics. (English) Zbl 1517.74091 Comput. Mech. 71, No. 5, 935-955 (2023). MSC: 74S99 74B05 PDFBibTeX XMLCite \textit{A. Lamperti} et al., Comput. Mech. 71, No. 5, 935--955 (2023; Zbl 1517.74091) Full Text: DOI
Artioli, Edoardo; de Miranda, Stefano; Lovadina, Carlo; Patruno, Luca; Visinoni, Michele Some virtual element methods for infinitesimal elasticity problems. (English) Zbl 1503.65285 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 137-183 (2022). MSC: 65N30 65N12 35A15 74B10 74S05 35Q74 PDFBibTeX XMLCite \textit{E. Artioli} et al., SEMA SIMAI Springer Ser. 31, 137--183 (2022; Zbl 1503.65285) Full Text: DOI
Lovadina, Carlo; Visinoni, Michele Virtual element methods for three-dimensional Hellinger-Reissner elastostatic problems. (English) Zbl 1498.65205 Commun. Appl. Ind. Math. 13, No. 1, 57-69 (2022). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{C. Lovadina} and \textit{M. Visinoni}, Commun. Appl. Ind. Math. 13, No. 1, 57--69 (2022; Zbl 1498.65205) Full Text: DOI
da Veiga, Lourenco Beirão; Dassi, Franco; Lovadina, Carlo; Vacca, Giuseppe SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis. (English) Zbl 1490.65267 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2233-2258 (2021). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{L. B. da Veiga} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2233--2258 (2021; Zbl 1490.65267) Full Text: DOI arXiv
Dassi, Franco; Lovadina, Carlo; Visinoni, Michele Hybridization of the virtual element method for linear elasticity problems. (English) Zbl 1480.65331 Math. Models Methods Appl. Sci. 31, No. 14, 2979-3008 (2021). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{F. Dassi} et al., Math. Models Methods Appl. Sci. 31, No. 14, 2979--3008 (2021; Zbl 1480.65331) Full Text: DOI arXiv
Lovadina, Carlo; Mora, David; Velásquez, Iván A virtual element method for the von Kármán equations. (English) Zbl 1477.65230 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 533-560 (2021). MSC: 65N30 65N12 65N15 74K20 74S05 35Q74 PDFBibTeX XMLCite \textit{C. Lovadina} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 2, 533--560 (2021; Zbl 1477.65230) Full Text: DOI
Artioli, Edoardo; De Miranda, Stefano; Lovadina, Carlo; Patruno, Luca A dual hybrid virtual element method for plane elasticity problems. (English) Zbl 1482.65210 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725-1750 (2020). Reviewer: Lijun Yi (Shanghai) MSC: 65N30 65N15 65N12 35B45 74B10 74K10 PDFBibTeX XMLCite \textit{E. Artioli} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725--1750 (2020; Zbl 1482.65210) Full Text: DOI arXiv
Dassi, Franco; Lovadina, Carlo; Visinoni, M. A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems. (English) Zbl 1442.65358 Comput. Methods Appl. Mech. Eng. 364, Article ID 112910, 17 p. (2020). MSC: 65N30 74B05 PDFBibTeX XMLCite \textit{F. Dassi} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112910, 17 p. (2020; Zbl 1442.65358) Full Text: DOI arXiv
Artioli, E.; de Miranda, S.; Lovadina, C.; Patruno, L. A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle. (English) Zbl 1440.74056 Comput. Methods Appl. Mech. Eng. 340, 978-999 (2018). MSC: 74B05 74S05 65N30 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 340, 978--999 (2018; Zbl 1440.74056) Full Text: DOI arXiv
da Veiga, L. Beirão; Lovadina, C.; Vacca, G. Virtual elements for the Navier-Stokes problem on polygonal meshes. (English) Zbl 1397.65302 SIAM J. Numer. Anal. 56, No. 3, 1210-1242 (2018). Reviewer: Kai Schneider (Marseille) MSC: 65N30 76D05 PDFBibTeX XMLCite \textit{L. B. da Veiga} et al., SIAM J. Numer. Anal. 56, No. 3, 1210--1242 (2018; Zbl 1397.65302) Full Text: DOI arXiv
Artioli, E.; de Miranda, S.; Lovadina, C.; Patruno, L. A stress/displacement virtual element method for plane elasticity problems. (English) Zbl 1439.74040 Comput. Methods Appl. Mech. Eng. 325, 155-174 (2017). MSC: 74B05 74S05 65N30 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 325, 155--174 (2017; Zbl 1439.74040) Full Text: DOI arXiv
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem. (English) Zbl 1386.74133 Comput. Mech. 60, No. 4, 643-657 (2017). MSC: 74S05 65N30 74C05 74D05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Mech. 60, No. 4, 643--657 (2017; Zbl 1386.74133) Full Text: DOI arXiv
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. (English) Zbl 1386.74132 Comput. Mech. 60, No. 3, 355-377 (2017). MSC: 74S05 65N30 74B05 74D05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Mech. 60, No. 3, 355--377 (2017; Zbl 1386.74132) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro Stability analysis for the virtual element method. (English) Zbl 1378.65171 Math. Models Methods Appl. Sci. 27, No. 13, 2557-2594 (2017). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 27, No. 13, 2557--2594 (2017; Zbl 1378.65171) Full Text: DOI arXiv
Beirão da Veiga, L.; Lovadina, C.; Mora, D. A virtual element method for elastic and inelastic problems on polytope meshes. (English) Zbl 1423.74120 Comput. Methods Appl. Mech. Eng. 295, 327-346 (2015). MSC: 74B20 74S05 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Methods Appl. Mech. Eng. 295, 327--346 (2015; Zbl 1423.74120) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Lovadina, Carlo; Mora, David Numerical results for mimetic discretization of Reissner-Mindlin plate problems. (English) Zbl 1273.65172 Calcolo 50, No. 3, 209-237 (2013). MSC: 65N30 74K20 65N25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Calcolo 50, No. 3, 209--237 (2013; Zbl 1273.65172) Full Text: DOI arXiv
Lovadina, Carlo; Marini, L. Donatella A-posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems. (English) Zbl 1203.65257 J. Sci. Comput. 40, No. 1-3, 340-359 (2009). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{C. Lovadina} and \textit{L. D. Marini}, J. Sci. Comput. 40, No. 1--3, 340--359 (2009; Zbl 1203.65257) Full Text: DOI