Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro The virtual element method. (English) Zbl 07736655 Acta Numerica 32, 123-202 (2023). MSC: 65-XX 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Acta Numerica 32, 123--202 (2023; Zbl 07736655) Full Text: DOI
Naranjo-Alvarez, S.; Beirão da Veiga, L.; Bokil, V. A.; Dassi, F.; Gyrya, V.; Manzini, G. The virtual element method for a 2D incompressible MHD system. (English) Zbl 07704409 Math. Comput. Simul. 211, 301-328 (2023). MSC: 76-XX 78-XX PDFBibTeX XMLCite \textit{S. Naranjo-Alvarez} et al., Math. Comput. Simul. 211, 301--328 (2023; Zbl 07704409) Full Text: DOI
Aldakheel, Fadi; Hudobivnik, Blaž; Artioli, Edoardo; Beirão da Veiga, Lourenço; Wriggers, Peter Curvilinear virtual elements for contact mechanics. (English) Zbl 1506.74382 Comput. Methods Appl. Mech. Eng. 372, Article ID 113394, 19 p. (2020). MSC: 74S05 65N30 74B05 74M15 PDFBibTeX XMLCite \textit{F. Aldakheel} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113394, 19 p. (2020; Zbl 1506.74382) Full Text: DOI
Artioli, E.; Beirão da Veiga, L.; Dassi, F. Curvilinear virtual elements for 2D solid mechanics applications. (English) Zbl 1441.74229 Comput. Methods Appl. Mech. Eng. 359, Article ID 112667, 19 p. (2020). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112667, 19 p. (2020; Zbl 1441.74229) Full Text: DOI arXiv
Chi, H.; da Veiga, L. Beirão; Paulino, G. H. Some basic formulations of the virtual element method (VEM) for finite deformations. (English) Zbl 1439.74397 Comput. Methods Appl. Mech. Eng. 318, 148-192 (2017). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{H. Chi} et al., Comput. Methods Appl. Mech. Eng. 318, 148--192 (2017; Zbl 1439.74397) Full Text: DOI
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
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
Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations. (English) Zbl 1227.74061 Comput. Methods Appl. Mech. Eng. 199, No. 5-8, 314-323 (2010). MSC: 74S05 74S30 74B20 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Comput. Methods Appl. Mech. Eng. 199, No. 5--8, 314--323 (2010; Zbl 1227.74061) Full Text: DOI
Artioli, E.; Auricchio, F.; Beirão da Veiga, L. Generalized midpoint integration algorithms for \(J_{2}\) plasticity with linear hardening. (English) Zbl 1194.74505 Int. J. Numer. Methods Eng. 72, No. 4, 422-463 (2007). MSC: 74S20 74C05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Int. J. Numer. Methods Eng. 72, No. 4, 422--463 (2007; Zbl 1194.74505) Full Text: DOI
Artioli, E.; Auricchio, F.; Beirão da Veiga, L. Second-order accurate integration algorithms for von-Mises plasticity with a nonlinear kinematic hardening mechanism. (English) Zbl 1173.74465 Comput. Methods Appl. Mech. Eng. 196, No. 9-12, 1827-1846 (2007). MSC: 74S30 74C05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 196, No. 9--12, 1827--1846 (2007; Zbl 1173.74465) Full Text: DOI
Artioli, E.; Auricchio, F.; Beirão da Veiga, L. A novel ‘optimal’ exponential-based integration algorithm for von-Mises plasticity with linear hardening: theoretical analysis on yield consistency, accuracy, convergence and numerical investigations. (English) Zbl 1110.74824 Int. J. Numer. Methods Eng. 67, No. 4, 449-498 (2006). MSC: 74G15 74C05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Int. J. Numer. Methods Eng. 67, No. 4, 449--498 (2006; Zbl 1110.74824) Full Text: DOI
Artioli, E.; Auricchio, F.; Beirão da Veiga, L. Integration schemes for von Mises plasticity models based on exponential maps: numerical investigations and theoretical considerations. (English) Zbl 1110.74055 Int. J. Numer. Methods Eng. 64, No. 9, 1133-1165 (2005). MSC: 74S30 74C05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Int. J. Numer. Methods Eng. 64, No. 9, 1133--1165 (2005; Zbl 1110.74055) Full Text: DOI
Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. An analysis of some mixed-enhanced finite element for plane linear elasticity. (English) Zbl 1091.74046 Comput. Methods Appl. Mech. Eng. 194, No. 27-29, 2947-2968 (2005). MSC: 74S05 74B05 65N30 65N15 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Comput. Methods Appl. Mech. Eng. 194, No. 27--29, 2947--2968 (2005; Zbl 1091.74046) Full Text: DOI
Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. A stability study of some mixed finite elements for large deformation elasticity problems. (English) Zbl 1093.74053 Comput. Methods Appl. Mech. Eng. 194, No. 9-11, 1075-1092 (2005). MSC: 74S05 74B20 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Comput. Methods Appl. Mech. Eng. 194, No. 9--11, 1075--1092 (2005; Zbl 1093.74053) Full Text: DOI