Edit Profile Beirão da Veiga, Lourenço Compute Distance To: Compute Author ID: beirao-da-veiga.lourenco Published as: Bairão da Veiga, L.; Beirao da Veiga, L.; Beirão da Veiga, L.; Beirão da Veiga, Lorenzo; Beirão da Veiga, Lourenco; Beirão da Veiga, Lourenço; Da Veiga, L. Beirão; Da Veiga, Lourenço Beirão; da Veiga, L. Beirão Homepage: http://k.matapp.unimib.it/beirao/ Documents Indexed: 127 Publications since 2002, including 1 Book all top 5 Co-Authors 9 single-authored 27 Lovadina, Carlo 20 Russo, Alessandro 16 Auricchio, Ferdinando 15 Brezzi, Franco 15 Sangalli, Giancarlo 14 Manzini, Gianmarco 11 Buffa, Annalisa 11 Marini, Luisa Donatella 11 Pavarino, Luca Franco 10 Artioli, Edoardo 10 Scacchi, Simone 9 Niiranen, Jarkko 9 Stenberg, Rolf 8 Cho, Durkbin 8 Dassi, Franco 8 Mora, David 8 Reali, A. Prota A. 8 Vacca, Giuseppe 7 Lipnikov, Konstantin N. 7 Verani, Marco 6 Antonietti, Paola Francesca 5 Reali, Alessandro 5 Vazquez, Rafael 4 Hughes, Thomas J. R. 4 Kiendl, Josef 4 Marini, Luisa Donatelia 4 Widlund, Olof B. 4 Zampini, Stefano 3 Hakula, Harri 3 Mascotto, Lorenzo 2 Chernov, Alexey 2 Chi, Heng 2 Chinosi, Claudia 2 Paulino, Glaucio H. 2 Rivera, Gonzalo 2 Rodríguez, Rodolfo 2 Sacco, Elio 2 Wriggers, Peter 1 Aldakheel, Fadi 1 Bazilevs, Yuri 1 Bigoni, Nadia 1 Cangiani, Andrea 1 Chapelle, Dominique 1 Cottrell, J. Austin 1 Droniou, Jérôme 1 Ern, Alexandre 1 Gyrya, Vitaliy T. 1 Hernandez Vázquez, Rafael 1 Hudobivnik, Blaž 1 Lopez, Luciano 1 Martinelli, Massimiliano 1 Paris, I. 1 Pichler, Anton 1 Pitkäranta, Juhani 1 Putti, Mario 1 Rivas, J. Gómez 1 Speleers, Hendrik 1 Taylor, Robert Leroy all top 5 Serials 25 Computer Methods in Applied Mechanics and Engineering 16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 13 SIAM Journal on Numerical Analysis 11 Numerische Mathematik 6 International Journal for Numerical Methods in Engineering 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Numerical Methods for Partial Differential Equations 4 Computational Mechanics 4 SIAM Journal on Scientific Computing 3 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 Calcolo 1 Computers and Fluids 1 Journal of Computational Physics 1 BIT 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Numerica 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Discrete and Continuous Dynamical Systems. Series S 1 MS&A. Modeling, Simulation and Applications 1 SMAI Journal of Computational Mathematics all top 5 Fields 104 Numerical analysis (65-XX) 58 Mechanics of deformable solids (74-XX) 38 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 3,838 times in 1,300 Documents Cited by ▼ Year ▼ Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 330 2013 Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G. 300 2006 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 158 2014 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 156 2013 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 145 2010 The mimetic finite difference method for elliptic problems. Zbl 1286.65141Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco 101 2014 Mathematical analysis of variational isogeometric methods. Zbl 1398.65287Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. 98 2014 Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. Zbl 1222.41010Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G. 96 2011 A fully “locking-free” isogeometric approach for plane linear elasticity problems: a stream function formulation. Zbl 1169.74643Auricchio, F.; Beirão da Veiga, L.; Buffa, A.; Lovadina, C.; Reali, A.; Sangalli, G. 93 2007 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 90 2012 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 81 2016 A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M. 80 2014 Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe 77 2017 Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods. Zbl 1353.74045Beirão da Veiga, L.; Lovadina, C.; Reali, A. 74 2012 Locking-free isogeometric collocation methods for spatial Timoshenko rods. Zbl 1286.74057Auricchio, F.; Beirão da Veiga, L.; Kiendl, J.; Lovadina, C.; Reali, A. 67 2013 A \(C^1\) virtual element method for the Cahn-Hilliard equation with polygonal meshes. Zbl 1336.65160Antonietti, P. F.; Beirão da Veiga, L.; Scacchi, S.; Verani, M. 64 2016 Stability analysis for the virtual element method. Zbl 1378.65171Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 58 2017 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 57 2016 A virtual element method for elastic and inelastic problems on polytope meshes. Zbl 1423.74120Beirão da Veiga, L.; Lovadina, C.; Mora, D. 56 2015 The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations. Zbl 1227.74061Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 54 2010 A virtual element method with arbitrary regularity. Zbl 1293.65146Beirão da Veiga, Lourenco; Manzini, Gianmarco 53 2014 Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 50 2011 Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 45 2009 Analysis-suitable T-splines are dual-compatible. Zbl 1348.65048Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. 44 2012 Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G. 44 2009 High-order virtual element method on polyhedral meshes. Zbl 1448.65215Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro 43 2017 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 43 2016 Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties. Zbl 1270.65009Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. 42 2013 Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 41 2014 BDDC preconditioners for isogeometric analysis. Zbl 1280.65138Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 41 2013 Overlapping Schwarz methods for isogeometric analysis. Zbl 1250.65149Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 40 2012 A mimetic discretization method for linear elasticity. Zbl 1258.74206Beirão da Veiga, Lourenco 38 2010 Virtual elements for the Navier-Stokes problem on polygonal meshes. Zbl 1397.65302da Veiga, L. Beirão; Lovadina, C.; Vacca, G. 37 2018 Anisotropic NURBS approximation in isogeometric analysis. Zbl 1243.65027Beirão da Veiga, Lourenço; Cho, Durkbin; Sangalli, Giancarlo 36 2012 Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. 33 2017 Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171Vacca, Giuseppe; Beirão da Veiga, Lourenco 33 2015 A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201Beirão da Veiga, Lourenço; Manzini, Gianmarco 32 2008 Isogeometric analysis using T-splines on two-patch geometries. Zbl 1228.65229Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. 31 2011 An isogeometric method for the Reissner-Mindlin plate bending problem. Zbl 1243.74101Beirão da Veiga, Lourenço; Buffa, Annalisa; Lovadina, Carlo; Martinelli, Massimiliano; Sangalli, Giancarlo 30 2012 An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems. Zbl 1195.65146Beirão da Veiga, Lourenço; Manzini, Gianmarco 30 2008 A residual based error estimator for the mimetic finite difference method. Zbl 1144.65067Beirão da Veiga, L. 30 2008 A posteriori error estimates for the Morley plate bending element. Zbl 1110.74050Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 29 2007 A mimetic discretization of the Stokes problem with selected edge bubbles. Zbl 1352.76021Beirão da Veiga, L.; Lipnikov, K. 28 2010 Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem. Zbl 1386.74133Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. 27 2017 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 27 2016 Basic principles of \(hp\) virtual elements on quasiuniform meshes. Zbl 1344.65109Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 26 2016 A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H. 26 2015 Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 25 2017 Isogeometric collocation methods for the Reissner-Mindlin plate problem. Zbl 1425.65199Kiendl, J.; Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 25 2015 A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. Zbl 1263.65102Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco 25 2011 Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056Beirão da Veiga, L.; Manzini, G. 23 2015 Isogeometric Schwarz preconditioners for linear elasticity systems. Zbl 1297.74113Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 23 2013 Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 23 2010 A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco 20 2013 Exponential convergence of the \(hp\) virtual element method in presence of corner singularities. Zbl 1387.65117Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 19 2018 A virtual element method for the acoustic vibration problem. Zbl 1397.76059Beirão da Veiga, Lourenço; Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo 19 2017 Approximation of incompressible large deformation elastic problems: some unresolved issues. Zbl 1388.74011Auricchio, Ferdinando; Beirão da Veiga, Lourenço; Lovadina, Carlo; Reali, Alessandro; Taylor, Robert L.; Wriggers, Peter 19 2013 An analysis of some mixed-enhanced finite element for plane linear elasticity. Zbl 1091.74046Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 18 2005 A stability study of some mixed finite elements for large deformation elasticity problems. Zbl 1093.74053Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 18 2005 Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. Zbl 1267.65159Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco 17 2013 The virtual element method with curved edges. Zbl 1426.65163Da Veiga, L. Beirão; Russo, A.; Vacca, G. 15 2019 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 14 2017 A mimetic discretization of the Reissner-Mindlin plate bending problem. Zbl 1428.74132Beirão da Veiga, L.; Mora, D. 14 2011 A family of \({C}^0\) finite elements for Kirchhoff plates. I: Error analysis. Zbl 1152.74043Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 14 2007 On a new integration scheme for von Mises plasticity with linear hardening. Zbl 1026.74066Auricchio, Ferdinando; Beirão da Veiga, Lourenço 14 2003 Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. 13 2014 Some basic formulations of the virtual element method (VEM) for finite deformations. Zbl 1439.74397Chi, H.; da Veiga, L. Beirão; Paulino, G. H. 12 2017 A novel ‘optimal’ exponential-based integration algorithm for von-Mises plasticity with linear hardening: theoretical analysis on yield consistency, accuracy, convergence and numerical investigations. Zbl 1110.74824Artioli, E.; Auricchio, F.; Beirão da Veiga, L. 12 2006 Second-order accurate integration algorithms for von-Mises plasticity with a nonlinear kinematic hardening mechanism. Zbl 1173.74465Artioli, E.; Auricchio, F.; Beirão da Veiga, L. 11 2007 Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro 10 2018 Robust BDDC preconditioners for Reissner-Mindlin plate bending problems and MITC elements. Zbl 1252.74062Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Pavarino, L. F. 10 2010 A posteriori error analysis for the Morley plate element with general boundary conditions. Zbl 1193.74162Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 10 2010 Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. Zbl 1404.65258Da Veiga, L. Beirão; Mora, D.; Rivera, G. 9 2019 A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. 9 2018 Mimetic finite difference methods for Hamiltonian wave equations in 2D. Zbl 1448.65092Beirão da Veiga, Lourenco; Lopez, Luciano; Vacca, Giuseppe 9 2017 Integration schemes for von Mises plasticity models based on exponential maps: numerical investigations and theoretical considerations. Zbl 1110.74055Artioli, E.; Auricchio, F.; Beirão da Veiga, L. 9 2005 Finite element methods for a modified Reissner-Mindlin free plate model. Zbl 1081.74040Beirão da Veiga, L. 9 2004 Overlapping Schwarz preconditioners for isogeometric collocation methods. Zbl 1425.65194Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 8 2014 Asymptotic and numerical analysis of the eigenvalue problem for a clamped cylindrical shell. Zbl 1155.74025Beirão da Veiga, L.; Hakula, H.; Pitkäranta, J. 8 2008 The Stokes complex for virtual elements with application to Navier-Stokes flows. Zbl 1446.65185Beirão da Veiga, L.; Mora, D.; Vacca, G. 7 2019 Numerical analysis of a locking-free mixed finite element method for a bending moment formulation of Reissner-Mindlin plate model. Zbl 1294.74061Beirão da Veiga, Lourenço; Mora, David; Rodríguez, Rodolfo 7 2013 Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity. Zbl 1137.65342Beirão da Veiga, L.; Lovadina, C.; Pavarino, L. F. 7 2006 Curvilinear virtual elements for 2D solid mechanics applications. Zbl 1441.74229Artioli, E.; Beirão da Veiga, L.; Dassi, F. 6 2020 A simple and effective gradient recovery scheme and a posteriori error estimator for the virtual element method (VEM). Zbl 1440.65194Chi, Heng; Beirão da Veiga, Lourenço; Paulino, Glaucio H. 6 2019 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 6 2016 A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results. Zbl 1194.74363Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 6 2008 An interpolation theory approach to shell eigenvalue problems. Zbl 1157.74026Beirão da Veiga, L.; Lovadina, C. 6 2008 The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171Beirão da Veiga, L.; Dassi, F.; Vacca, G. 5 2020 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 5 2018 Preface. Zbl 1349.00239Beirão da Veiga, L. (ed.); Ern, A. (ed.) 5 2016 Isogeometric collocation mixed methods for rods. Zbl 1419.74249Auricchio, Ferdinando; Beirão da Veiga, Lourenco; Kiendl, Josef; Lovadina, Carlo; Reali, Alessandro 5 2016 Numerical results for mimetic discretization of Reissner-Mindlin plate problems. Zbl 1273.65172Beirão da Veiga, Lourenço; Lovadina, Carlo; Mora, David 5 2013 Generalized midpoint integration algorithms for \(J_{2}\) plasticity with linear hardening. Zbl 1194.74505Artioli, E.; Auricchio, F.; Beirão da Veiga, L. 5 2007 Asymptotic study of the solution for pinched cylindrical shells. Zbl 1091.74029Beirão da Veiga, L. 5 2005 Asymptotic energy behavior of two classical intermediate benchmark shell problems. Zbl 1061.74034Beirão da Veiga, L. 5 2003 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 4 2017 Approximation estimates for isogeometric spaces in multipatch geometries. Zbl 1320.65170Buffa, Annalisa; Hernandez Vázquez, Rafael; Sangalli, Giancarlo; Beirão da Veiga, Lourenço 4 2015 Post processing of solution and flux for the nodal mimetic finite difference method. Zbl 1317.65215Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario 4 2015 On the asymptotic behaviour of shells of revolution in free vibration. Zbl 1162.74371Artioli, Edoardo; Beirão da Veiga, Lourenco; Hakula, Harri; Lovadina, Carlo 4 2009 Free vibrations for some Koiter shells of revolution. Zbl 1263.74036Artioli, Edoardo; Beirão da Veiga, Lourenço; Hakula, Harri; Lovadina, Carlo 4 2008 Curvilinear virtual elements for 2D solid mechanics applications. Zbl 1441.74229Artioli, E.; Beirão da Veiga, L.; Dassi, F. 6 2020 The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171Beirão da Veiga, L.; Dassi, F.; Vacca, G. 5 2020 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 2 2020 The virtual element method with curved edges. Zbl 1426.65163Da Veiga, L. Beirão; Russo, A.; Vacca, G. 15 2019 Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. Zbl 1404.65258Da Veiga, L. Beirão; Mora, D.; Rivera, G. 9 2019 The Stokes complex for virtual elements with application to Navier-Stokes flows. Zbl 1446.65185Beirão da Veiga, L.; Mora, D.; Vacca, G. 7 2019 A simple and effective gradient recovery scheme and a posteriori error estimator for the virtual element method (VEM). Zbl 1440.65194Chi, Heng; Beirão da Veiga, Lourenço; Paulino, Glaucio H. 6 2019 A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076Beirão da Veiga, L.; Manzini, G.; Mascotto, L. 3 2019 Virtual elements for the Navier-Stokes problem on polygonal meshes. Zbl 1397.65302da Veiga, L. Beirão; Lovadina, C.; Vacca, G. 37 2018 Exponential convergence of the \(hp\) virtual element method in presence of corner singularities. Zbl 1387.65117Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 19 2018 Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro 10 2018 A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. 9 2018 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 5 2018 Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe 77 2017 Stability analysis for the virtual element method. Zbl 1378.65171Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 58 2017 High-order virtual element method on polyhedral meshes. Zbl 1448.65215Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro 43 2017 Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. 33 2017 Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem. Zbl 1386.74133Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. 27 2017 Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 25 2017 A virtual element method for the acoustic vibration problem. Zbl 1397.76059Beirão da Veiga, Lourenço; Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo 19 2017 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 14 2017 Some basic formulations of the virtual element method (VEM) for finite deformations. Zbl 1439.74397Chi, H.; da Veiga, L. Beirão; Paulino, G. H. 12 2017 Mimetic finite difference methods for Hamiltonian wave equations in 2D. Zbl 1448.65092Beirão da Veiga, Lourenco; Lopez, Luciano; Vacca, Giuseppe 9 2017 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 4 2017 Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. Zbl 1369.65158Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 1 2017 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 81 2016 A \(C^1\) virtual element method for the Cahn-Hilliard equation with polygonal meshes. Zbl 1336.65160Antonietti, P. F.; Beirão da Veiga, L.; Scacchi, S.; Verani, M. 64 2016 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 57 2016 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 43 2016 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 27 2016 Basic principles of \(hp\) virtual elements on quasiuniform meshes. Zbl 1344.65109Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 26 2016 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 6 2016 Preface. Zbl 1349.00239Beirão da Veiga, L. (ed.); Ern, A. (ed.) 5 2016 Isogeometric collocation mixed methods for rods. Zbl 1419.74249Auricchio, Ferdinando; Beirão da Veiga, Lourenco; Kiendl, Josef; Lovadina, Carlo; Reali, Alessandro 5 2016 An introduction to the numerical analysis of isogeometric methods. Zbl 1351.65086Beirão da Veiga, Lourenço; Buffa, Annalisa; Sangalli, Giancarlo; Vázquez, Rafael 3 2016 BDDC deluxe for isogeometric analysis. Zbl 1339.65228Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano 3 2016 A virtual element method for elastic and inelastic problems on polytope meshes. Zbl 1423.74120Beirão da Veiga, L.; Lovadina, C.; Mora, D. 56 2015 Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171Vacca, Giuseppe; Beirão da Veiga, Lourenco 33 2015 A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H. 26 2015 Isogeometric collocation methods for the Reissner-Mindlin plate problem. Zbl 1425.65199Kiendl, J.; Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 25 2015 Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056Beirão da Veiga, L.; Manzini, G. 23 2015 Approximation estimates for isogeometric spaces in multipatch geometries. 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D.; Russo, A. 330 2013 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 156 2013 Locking-free isogeometric collocation methods for spatial Timoshenko rods. Zbl 1286.74057Auricchio, F.; Beirão da Veiga, L.; Kiendl, J.; Lovadina, C.; Reali, A. 67 2013 Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties. Zbl 1270.65009Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. 42 2013 BDDC preconditioners for isogeometric analysis. Zbl 1280.65138Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 41 2013 Isogeometric Schwarz preconditioners for linear elasticity systems. Zbl 1297.74113Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 23 2013 A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco 20 2013 Approximation of incompressible large deformation elastic problems: some unresolved issues. Zbl 1388.74011Auricchio, Ferdinando; Beirão da Veiga, Lourenço; Lovadina, Carlo; Reali, Alessandro; Taylor, Robert L.; Wriggers, Peter 19 2013 Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. Zbl 1267.65159Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco 17 2013 Numerical analysis of a locking-free mixed finite element method for a bending moment formulation of Reissner-Mindlin plate model. Zbl 1294.74061Beirão da Veiga, Lourenço; Mora, David; Rodríguez, Rodolfo 7 2013 Numerical results for mimetic discretization of Reissner-Mindlin plate problems. Zbl 1273.65172Beirão da Veiga, Lourenço; Lovadina, Carlo; Mora, David 5 2013 An adaptive MFD method for the obstacle problem. Zbl 06185705Antonietti, P. F.; Beirão da Veiga, L.; Verani, M. 1 2013 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 90 2012 Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods. Zbl 1353.74045Beirão da Veiga, L.; Lovadina, C.; Reali, A. 74 2012 Analysis-suitable T-splines are dual-compatible. Zbl 1348.65048Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. 44 2012 Overlapping Schwarz methods for isogeometric analysis. Zbl 1250.65149Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 40 2012 Anisotropic NURBS approximation in isogeometric analysis. Zbl 1243.65027Beirão da Veiga, Lourenço; Cho, Durkbin; Sangalli, Giancarlo 36 2012 An isogeometric method for the Reissner-Mindlin plate bending problem. 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Zbl 1428.74132Beirão da Veiga, L.; Mora, D. 14 2011 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 145 2010 The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations. Zbl 1227.74061Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 54 2010 A mimetic discretization method for linear elasticity. Zbl 1258.74206Beirão da Veiga, Lourenco 38 2010 A mimetic discretization of the Stokes problem with selected edge bubbles. Zbl 1352.76021Beirão da Veiga, L.; Lipnikov, K. 28 2010 Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 23 2010 Robust BDDC preconditioners for Reissner-Mindlin plate bending problems and MITC elements. Zbl 1252.74062Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Pavarino, L. F. 10 2010 A posteriori error analysis for the Morley plate element with general boundary conditions. Zbl 1193.74162Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 10 2010 Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 45 2009 Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G. 44 2009 On the asymptotic behaviour of shells of revolution in free vibration. Zbl 1162.74371Artioli, Edoardo; Beirão da Veiga, Lourenco; Hakula, Harri; Lovadina, Carlo 4 2009 Stability of some finite element methods for finite elasticity problems. Zbl 1352.74320Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 1 2009 A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201Beirão da Veiga, Lourenço; Manzini, Gianmarco 32 2008 An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems. Zbl 1195.65146Beirão da Veiga, Lourenço; Manzini, Gianmarco 30 2008 A residual based error estimator for the mimetic finite difference method. Zbl 1144.65067Beirão da Veiga, L. 30 2008 Asymptotic and numerical analysis of the eigenvalue problem for a clamped cylindrical shell. Zbl 1155.74025Beirão da Veiga, L.; Hakula, H.; Pitkäranta, J. 8 2008 A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results. Zbl 1194.74363Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 6 2008 An interpolation theory approach to shell eigenvalue problems. Zbl 1157.74026Beirão da Veiga, L.; Lovadina, C. 6 2008 Free vibrations for some Koiter shells of revolution. Zbl 1263.74036Artioli, Edoardo; Beirão da Veiga, Lourenço; Hakula, Harri; Lovadina, Carlo 4 2008 A priori and a posteriori error analysis for a family of Reissner-Mindlin plate elements. Zbl 1143.74050Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Stenberg, R. 3 2008 A posteriori error analysis for Kirchhoff plate elements. Zbl 1155.74047Niiranen, J.; Beirão da Veiga, L.; Stenberg, R. 1 2008 A fully “locking-free” isogeometric approach for plane linear elasticity problems: a stream function formulation. Zbl 1169.74643Auricchio, F.; Beirão da Veiga, L.; Buffa, A.; Lovadina, C.; Reali, A.; Sangalli, G. 93 2007 A posteriori error estimates for the Morley plate bending element. Zbl 1110.74050Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 29 2007 A family of \({C}^0\) finite elements for Kirchhoff plates. I: Error analysis. Zbl 1152.74043Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 14 2007 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,749 Authors 85 Beirão da Veiga, Lourenço 53 Hughes, Thomas J. R. 45 Bazilevs, Yuri 41 Sangalli, Giancarlo 36 Reali, Alessandro 35 Buffa, Annalisa 29 Auricchio, Ferdinando 29 Manzini, Gianmarco 27 Di Pietro, Daniele Antonio 24 Lovadina, Carlo 24 Russo, Alessandro 23 Evans, John A. 21 Antonietti, Paola Francesca 20 Brezzi, Franco 20 Calo, Victor Manuel 19 Wriggers, Peter 18 Droniou, Jérôme 18 Jüttler, Bert 18 Kiendl, Josef 18 Lipnikov, Konstantin N. 17 Cho, Durkbin 16 Artioli, Edoardo 16 Langer, Ulrich 16 Manni, Carla 16 Speleers, Hendrik 15 Mora, David 15 Rabczuk, Timon 15 Schillinger, Dominik 15 Verani, Marco 14 Gómez, Héctor J. 14 Scacchi, Simone 13 Hsu, Ming-Chen 13 Marini, Luisa Donatella 13 Nguyen-Xuan, Hung 13 Pavarino, Luca Franco 13 Scott, Michael A. 13 Vacca, Giuseppe 13 Vazquez, Rafael 12 Dassi, Franco 12 Dede, Luca 12 Mascotto, Lorenzo 12 Zampini, Stefano 11 Bordas, Stéphane Pierre Alain 11 Ern, Alexandre 11 Kapl, Mario 11 Natarajan, Sundararajan 11 Ye, Xiu 10 Mu, Lin 10 Niiranen, Jarkko 10 Quarteroni, Alfio M. 10 Reali, A. 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