Edit Profile (opens in new tab) Beirão da Veiga, Lourenço Compute Distance To: Compute Author ID: beirao-da-veiga.lourenco Published as: Beirão da Veiga, L.; Beirão da Veiga, Lourenço; Beirão da Veiga, Lourenco; da Veiga, L. Beirão; Da Veiga, L. Beirão; da Veiga, Lourenco Beirão; Da Veiga, Lourenço Beirão; Beirão da Veiga, Lorenzo; Bairão da Veiga, L.; Beirao da Veiga, L. more...less Homepage: http://k.matapp.unimib.it/beirao/ Documents Indexed: 132 Publications since 2002, including 1 Book 2 Contributions as Editor Co-Authors: 57 Co-Authors with 124 Joint Publications 1,912 Co-Co-Authors all top 5 Co-Authors 9 single-authored 28 Lovadina, Carlo 20 Russo, Alessandro 16 Auricchio, Ferdinando 16 Brezzi, Franco 16 Manzini, Gianmarco 16 Marini, Luisa Donatella 15 Sangalli, Giancarlo 12 Dassi, Franco 11 Buffa, Annalisa 11 Pavarino, Luca Franco 11 Vacca, Giuseppe 10 Artioli, Edoardo 10 Scacchi, Simone 9 Niiranen, Jarkko 9 Stenberg, Rolf 8 Cho, Durkbin 8 Mora, David 7 Antonietti, Paola Francesca 7 Lipnikov, Konstantin N. 7 Verani, Marco 5 Vazquez, Rafael 4 Hughes, Thomas J. R. 4 Kiendl, Josef 4 Mascotto, Lorenzo 4 Reali, Alessandro 4 Widlund, Olof B. 4 Zampini, Stefano 3 Hakula, Harri 2 Chernov, Alexey 2 Chi, Heng 2 Chinosi, Claudia 2 Droniou, Jérôme 2 Paulino, Glaucio H. 2 Rivera, Gonzalo 2 Rodríguez, Rodolfo 2 Sacco, Elio 2 Wriggers, Peter 1 Aldakheel, Fadi 1 Bazilevs, Yuri 1 Bellomo, Nicola 1 Bigoni, Nadia 1 Cangiani, Andrea 1 Canuto, Claudio 1 Chapelle, Dominique 1 Cottrell, J. Austin 1 Di Pietro, Daniele Antonio 1 Gyrya, Vitaliy T. 1 Hernandez Vázquez, Rafael 1 Hudobivnik, Blaž 1 Lopez, Luciano 1 Martinelli, Massimiliano 1 Nochetto, Ricardo Horacio 1 Paris, I. 1 Pitkäranta, Juhani 1 Putti, Mario 1 Speleers, Hendrik 1 Taylor, Robert Leroy all top 5 Serials 26 Computer Methods in Applied Mechanics and Engineering 19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 13 SIAM Journal on Numerical Analysis 11 Numerische Mathematik 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 International Journal for Numerical Methods in Engineering 5 Numerical Methods for Partial Differential Equations 4 Computers & Mathematics with Applications 4 Computational Mechanics 4 SIAM Journal on Scientific Computing 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 SEMA SIMAI Springer Series 1 SMAI Journal of Computational Mathematics all top 5 Fields 111 Numerical analysis (65-XX) 60 Mechanics of deformable solids (74-XX) 38 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 3 Approximations and expansions (41-XX) 2 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 123 Publications have been cited 4,903 times in 1,574 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. 451 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. 333 2006 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 223 2014 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 195 2013 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 162 2010 The mimetic finite difference method for elliptic problems. Zbl 1286.65141Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco 131 2014 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. 124 2016 Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe 119 2017 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. 115 2014 Mathematical analysis of variational isogeometric methods. Zbl 1398.65287Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. 114 2014 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 102 2012 Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. Zbl 1222.41010Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G. 102 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. 99 2007 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. 97 2016 Stability analysis for the virtual element method. Zbl 1378.65171Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 95 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 88 2016 A virtual element method for elastic and inelastic problems on polytope meshes. Zbl 1423.74120Beirão da Veiga, L.; Lovadina, C.; Mora, D. 82 2015 Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods. Zbl 1353.74045Beirão da Veiga, L.; Lovadina, C.; Reali, A. 78 2012 Locking-free isogeometric collocation methods for spatial Timoshenko rods. Zbl 1286.74057Auricchio, F.; Beirão da Veiga, L.; Kiendl, J.; Lovadina, C.; Reali, A. 72 2013 Virtual elements for the Navier-Stokes problem on polygonal meshes. Zbl 1397.65302da Veiga, L. Beirão; Lovadina, C.; Vacca, G. 72 2018 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 70 2016 A virtual element method with arbitrary regularity. Zbl 1293.65146Beirão da Veiga, Lourenco; Manzini, Gianmarco 66 2014 Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 61 2011 Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171Vacca, Giuseppe; Beirão da Veiga, Lourenco 60 2015 High-order virtual element method on polyhedral meshes. Zbl 1448.65215Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro 60 2017 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. 57 2010 Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G. 51 2009 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. 51 2013 Analysis-suitable T-splines are dual-compatible. Zbl 1348.65048Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. 49 2012 Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 47 2009 Overlapping Schwarz methods for isogeometric analysis. Zbl 1250.65149Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 46 2012 Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 45 2014 BDDC preconditioners for isogeometric analysis. Zbl 1280.65138Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 43 2013 Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. 43 2017 Anisotropic NURBS approximation in isogeometric analysis. Zbl 1243.65027Beirão da Veiga, Lourenço; Cho, Durkbin; Sangalli, Giancarlo 42 2012 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 40 2016 Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056Beirão da Veiga, L.; Manzini, G. 38 2015 A mimetic discretization method for linear elasticity. Zbl 1258.74206Beirão da Veiga, Lourenco 37 2010 A posteriori error estimates for the Morley plate bending element. Zbl 1110.74050Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 35 2007 A mimetic discretization of the Stokes problem with selected edge bubbles. Zbl 1352.76021Beirão da Veiga, L.; Lipnikov, K. 34 2010 Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem. Zbl 1386.74133Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. 34 2017 An isogeometric method for the Reissner-Mindlin plate bending problem. Zbl 1243.74101Beirão da Veiga, Lourenço; Buffa, Annalisa; Lovadina, Carlo; Martinelli, Massimiliano; Sangalli, Giancarlo 33 2012 Basic principles of \(hp\) virtual elements on quasiuniform meshes. Zbl 1344.65109Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 32 2016 A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201Beirão da Veiga, Lourenço; Manzini, Gianmarco 32 2008 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. 31 2015 Isogeometric analysis using T-splines on two-patch geometries. Zbl 1228.65229Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. 31 2011 Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 30 2010 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 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. 29 2017 The Stokes complex for virtual elements with application to Navier-Stokes flows. Zbl 1446.65185Beirão da Veiga, L.; Mora, D.; Vacca, G. 29 2019 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 28 2011 The virtual element method with curved edges. Zbl 1426.65163Da Veiga, L. Beirão; Russo, A.; Vacca, G. 28 2019 Isogeometric collocation methods for the Reissner-Mindlin plate problem. Zbl 1425.65199Kiendl, J.; Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 27 2015 Isogeometric Schwarz preconditioners for linear elasticity systems. Zbl 1297.74113Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 26 2013 A virtual element method for the acoustic vibration problem. Zbl 1397.76059Beirão da Veiga, Lourenço; Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo 24 2017 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. 23 2018 Some basic formulations of the virtual element method (VEM) for finite deformations. Zbl 1439.74397Chi, H.; da Veiga, L. Beirão; Paulino, G. H. 23 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 21 2013 A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco 21 2013 Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. Zbl 1404.65258Da Veiga, L. Beirão; Mora, D.; Rivera, G. 21 2019 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. 20 2005 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 19 2017 An analysis of some mixed-enhanced finite element for plane linear elasticity. Zbl 1091.74046Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 19 2005 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. 19 2018 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 18 2013 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 17 2018 A family of \({C}^0\) finite elements for Kirchhoff plates. I: Error analysis. Zbl 1152.74043Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 16 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 16 2018 The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171Beirão da Veiga, L.; Dassi, F.; Vacca, G. 16 2020 Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. 15 2014 A mimetic discretization of the Reissner-Mindlin plate bending problem. Zbl 1428.74132Beirão da Veiga, L.; Mora, D. 14 2011 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 14 2016 On a new integration scheme for von Mises plasticity with linear hardening. Zbl 1026.74066Auricchio, Ferdinando; Beirão da Veiga, Lourenço 14 2003 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. 13 2007 Mimetic finite difference methods for Hamiltonian wave equations in 2D. Zbl 1448.65092Beirão da Veiga, Lourenco; Lopez, Luciano; Vacca, Giuseppe 13 2017 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 13 2017 A posteriori error analysis for the Morley plate element with general boundary conditions. Zbl 1193.74162Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 12 2010 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 A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076Beirão da Veiga, L.; Manzini, G.; Mascotto, L. 12 2019 Curvilinear virtual elements for 2D solid mechanics applications. Zbl 1441.74229Artioli, E.; Beirão da Veiga, L.; Dassi, F. 12 2020 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. 11 2010 Finite element methods for a modified Reissner-Mindlin free plate model. Zbl 1081.74040Beirão da Veiga, L. 9 2004 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 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. 9 2019 Post processing of solution and flux for the nodal mimetic finite difference method. Zbl 1317.65215Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario 8 2015 Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity. Zbl 1137.65342Beirão da Veiga, L.; Lovadina, C.; Pavarino, L. F. 8 2006 A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results. Zbl 1194.74363Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 8 2008 Overlapping Schwarz preconditioners for isogeometric collocation methods. Zbl 1425.65194Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 8 2014 Approximation estimates for isogeometric spaces in multipatch geometries. Zbl 1320.65170Buffa, Annalisa; Hernandez Vázquez, Rafael; Sangalli, Giancarlo; Beirão da Veiga, Lourenço 7 2015 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 Asymptotic and numerical analysis of the eigenvalue problem for a clamped cylindrical shell. Zbl 1155.74025Beirão da Veiga, L.; Hakula, H.; Pitkäranta, J. 7 2008 Preface. Zbl 1349.00239 6 2016 Isogeometric collocation mixed methods for rods. Zbl 1419.74249Auricchio, Ferdinando; Beirão da Veiga, Lourenco; Kiendl, Josef; Lovadina, Carlo; Reali, Alessandro 6 2016 A \(C^1\) virtual element method on polyhedral meshes. Zbl 1454.65161Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro 6 2020 A virtual element method for the miscible displacement of incompressible fluids in porous media. Zbl 07340464Beirão da Veiga, L.; Pichler, A.; Vacca, G. 5 2021 An introduction to the numerical analysis of isogeometric methods. Zbl 1351.65086Beirão da Veiga, Lourenço; Buffa, Annalisa; Sangalli, Giancarlo; Vázquez, Rafael 5 2016 Asymptotic energy behavior of two classical intermediate benchmark shell problems. Zbl 1061.74034Beirão da Veiga, L. 5 2003 Asymptotic study of the solution for pinched cylindrical shells. Zbl 1091.74029Beirão da Veiga, L. 5 2005 Generalized midpoint integration algorithms for \(J_{2}\) plasticity with linear hardening. Zbl 1194.74505Artioli, E.; Auricchio, F.; Beirão da Veiga, L. 5 2007 A virtual element method for the miscible displacement of incompressible fluids in porous media. Zbl 07340464Beirão da Veiga, L.; Pichler, A.; Vacca, G. 5 2021 Equilibrium analysis of an immersed rigid leaflet by the virtual element method. Zbl 07423865Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G. 2 2021 Vorticity-stabilized virtual elements for the Oseen equation. Zbl 1480.65329Beirão da Veiga, L.; Dassi, F.; Vacca, G. 1 2021 The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171Beirão da Veiga, L.; Dassi, F.; Vacca, G. 16 2020 Curvilinear virtual elements for 2D solid mechanics applications. Zbl 1441.74229Artioli, E.; Beirão da Veiga, L.; Dassi, F. 12 2020 A \(C^1\) virtual element method on polyhedral meshes. Zbl 1454.65161Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro 6 2020 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 5 2020 Curvilinear virtual elements for contact mechanics. Zbl 07337889Aldakheel, Fadi; Hudobivnik, Blaž; Artioli, Edoardo; Beirão da Veiga, Lourenço; Wriggers, Peter 2 2020 The Stokes complex for virtual elements with application to Navier-Stokes flows. Zbl 1446.65185Beirão da Veiga, L.; Mora, D.; Vacca, G. 29 2019 The virtual element method with curved edges. Zbl 1426.65163Da Veiga, L. Beirão; Russo, A.; Vacca, G. 28 2019 Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. Zbl 1404.65258Da Veiga, L. Beirão; Mora, D.; Rivera, G. 21 2019 A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076Beirão da Veiga, L.; Manzini, G.; Mascotto, L. 12 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. 9 2019 Virtual elements for the Navier-Stokes problem on polygonal meshes. Zbl 1397.65302da Veiga, L. Beirão; Lovadina, C.; Vacca, G. 72 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. 23 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. 19 2018 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 17 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 16 2018 Virtual element approximations of the vector potential formulation of magnetostatic problems. Zbl 1416.78024Da Veiga, Lourenço Beirão; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro 1 2018 Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe 119 2017 Stability analysis for the virtual element method. Zbl 1378.65171Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro 95 2017 High-order virtual element method on polyhedral meshes. Zbl 1448.65215Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro 60 2017 Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. 43 2017 Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem. Zbl 1386.74133Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. 34 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. 29 2017 A virtual element method for the acoustic vibration problem. Zbl 1397.76059Beirão da Veiga, Lourenço; Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo 24 2017 Some basic formulations of the virtual element method (VEM) for finite deformations. Zbl 1439.74397Chi, H.; da Veiga, L. Beirão; Paulino, G. H. 23 2017 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 19 2017 Mimetic finite difference methods for Hamiltonian wave equations in 2D. Zbl 1448.65092Beirão da Veiga, Lourenco; Lopez, Luciano; Vacca, Giuseppe 13 2017 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 13 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. 124 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. 97 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 88 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. 70 2016 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 40 2016 Basic principles of \(hp\) virtual elements on quasiuniform meshes. Zbl 1344.65109Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 32 2016 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 14 2016 Preface. Zbl 1349.00239 6 2016 Isogeometric collocation mixed methods for rods. Zbl 1419.74249Auricchio, Ferdinando; Beirão da Veiga, Lourenco; Kiendl, Josef; Lovadina, Carlo; Reali, Alessandro 6 2016 An introduction to the numerical analysis of isogeometric methods. Zbl 1351.65086Beirão da Veiga, Lourenço; Buffa, Annalisa; Sangalli, Giancarlo; Vázquez, Rafael 5 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. 82 2015 Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171Vacca, Giuseppe; Beirão da Veiga, Lourenco 60 2015 Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056Beirão da Veiga, L.; Manzini, G. 38 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. 31 2015 Isogeometric collocation methods for the Reissner-Mindlin plate problem. Zbl 1425.65199Kiendl, J.; Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A. 27 2015 Post processing of solution and flux for the nodal mimetic finite difference method. Zbl 1317.65215Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario 8 2015 Approximation estimates for isogeometric spaces in multipatch geometries. Zbl 1320.65170Buffa, Annalisa; Hernandez Vázquez, Rafael; Sangalli, Giancarlo; Beirão da Veiga, Lourenço 7 2015 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 223 2014 The mimetic finite difference method for elliptic problems. Zbl 1286.65141Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco 131 2014 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. 115 2014 Mathematical analysis of variational isogeometric methods. Zbl 1398.65287Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. 114 2014 A virtual element method with arbitrary regularity. Zbl 1293.65146Beirão da Veiga, Lourenco; Manzini, Gianmarco 66 2014 Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 45 2014 Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. 15 2014 Overlapping Schwarz preconditioners for isogeometric collocation methods. Zbl 1425.65194Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 8 2014 Dual compatible splines on nontensor product meshes. Zbl 1325.41005Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. 2 2014 Robust isogeometric Schwarz preconditioners for composite elastic materials. Zbl 1443.74164Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 1 2014 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 451 2013 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 195 2013 Locking-free isogeometric collocation methods for spatial Timoshenko rods. Zbl 1286.74057Auricchio, F.; Beirão da Veiga, L.; Kiendl, J.; Lovadina, C.; Reali, A. 72 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. 51 2013 BDDC preconditioners for isogeometric analysis. Zbl 1280.65138Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 43 2013 Isogeometric Schwarz preconditioners for linear elasticity systems. Zbl 1297.74113Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 26 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 21 2013 A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco 21 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 18 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. 2 2013 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 102 2012 Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods. Zbl 1353.74045Beirão da Veiga, L.; Lovadina, C.; Reali, A. 78 2012 Analysis-suitable T-splines are dual-compatible. Zbl 1348.65048Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. 49 2012 Overlapping Schwarz methods for isogeometric analysis. Zbl 1250.65149Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. 46 2012 Anisotropic NURBS approximation in isogeometric analysis. Zbl 1243.65027Beirão da Veiga, Lourenço; Cho, Durkbin; Sangalli, Giancarlo 42 2012 An isogeometric method for the Reissner-Mindlin plate bending problem. Zbl 1243.74101Beirão da Veiga, Lourenço; Buffa, Annalisa; Lovadina, Carlo; Martinelli, Massimiliano; Sangalli, Giancarlo 33 2012 A posteriori boundary control for FEM approximation of elliptic eigenvalue problems. Zbl 1242.65230Beirão da Veiga, L.; Verani, M. 1 2012 Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. Zbl 1222.41010Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G. 102 2011 Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 61 2011 Isogeometric analysis using T-splines on two-patch geometries. Zbl 1228.65229Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. 31 2011 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 28 2011 A mimetic discretization of the Reissner-Mindlin plate bending problem. 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. 162 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. 57 2010 A mimetic discretization method for linear elasticity. Zbl 1258.74206Beirão da Veiga, Lourenco 37 2010 A mimetic discretization of the Stokes problem with selected edge bubbles. Zbl 1352.76021Beirão da Veiga, L.; Lipnikov, K. 34 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. 30 2010 A posteriori error analysis for the Morley plate element with general boundary conditions. Zbl 1193.74162Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 12 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. 11 2010 Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G. 51 2009 Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 47 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 A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results. Zbl 1194.74363Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. 8 2008 Asymptotic and numerical analysis of the eigenvalue problem for a clamped cylindrical shell. Zbl 1155.74025Beirão da Veiga, L.; Hakula, H.; Pitkäranta, J. 7 2008 Free vibrations for some Koiter shells of revolution. Zbl 1263.74036Artioli, Edoardo; Beirão da Veiga, Lourenço; Hakula, Harri; Lovadina, Carlo 5 2008 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,871 Authors 91 Beirão da Veiga, Lourenço 56 Hughes, Thomas J. R. 45 Bazilevs, Yuri 44 Sangalli, Giancarlo 41 Buffa, Annalisa 36 Manzini, Gianmarco 32 Di Pietro, Daniele Antonio 30 Auricchio, Ferdinando 29 Reali, Alessandro 27 Antonietti, Paola Francesca 27 Lovadina, Carlo 25 Droniou, Jérôme 24 Evans, John A. 24 Russo, Alessandro 24 Wriggers, Peter 22 Brezzi, Franco 22 Jüttler, Bert 21 Dassi, Franco 21 Mora, David 20 Calo, Victor Manuel 19 Kiendl, Josef 19 Manni, Carla 19 Marini, Luisa Donatella 19 Speleers, Hendrik 19 Verani, Marco 18 Cho, Durkbin 18 Scacchi, Simone 18 Vacca, Giuseppe 17 Artioli, Edoardo 17 Lipnikov, Konstantin N. 17 Rabczuk, Timon 17 Schillinger, Dominik 16 Langer, Ulrich 16 Mascotto, Lorenzo 16 Pavarino, Luca Franco 15 Natarajan, Sundararajan 15 Vazquez, Rafael 14 Hudobivnik, Blaž 14 Scott, Michael A. 14 Zampini, Stefano 13 Hsu, Ming-Chen 13 Kapl, Mario 13 Mu, Lin 13 Nguyen-Xuan, Hung 13 Ye, Xiu 12 Antolin, Pablo 12 Bordas, Stéphane Pierre Alain 12 Dede’, Luca 12 Ern, Alexandre 11 Berrone, Stefano 11 Niiranen, Jarkko 11 Scialò, Stefano 11 Simeon, Bernd 11 Tani, Mattia 10 Bertoluzza, Silvia 10 Cangiani, Andrea 10 de Lorenzis, Laura 10 Feng, Minfu 10 Hofer, Christoph D. 10 Li, Xin 10 Mantzaflaris, Angelos 10 Park, Eun-Jae 10 Quarteroni, Alfio M. 10 Sukumar, Natarajan 10 Takacs, Stefan 10 Weißer, Steffen 10 Widlund, Olof B. 10 Zhang, Shangyou 10 Zhao, Jikun 10 Zhao, Lina 9 Akkerman, Ido 9 Anitescu, Cosmin 9 Borio, Andrea 9 Calabró, Francesco 9 Fumagalli, Alessio 9 Gatica, Gabriel N. 9 Giannelli, Carlotta 9 Hiemstra, René R. 9 Huang, Jianguo 9 Paulino, Glaucio H. 9 Toulopoulos, Ioannis 9 Wohlmuth, Barbara I. 8 Adak, Dibyendu 8 Bletzinger, Kai-Uwe 8 Bracco, Cesare 8 Casquero, Hugo 8 Chen, Long 8 Chen, Shaochun 8 Chung, Tsz Shun Eric 8 Georgoulis, Emmanuil H. 8 Gyrya, Vitaliy T. 8 Hakula, Harri 8 Han, Weimin 8 Houston, Paul 8 Klinkel, Sven 8 Kvamsdal, Trond 8 Prada, Daniele 8 Rivera, Gonzalo 8 Sequeira, Filánder A. 8 Stenberg, Rolf ...and 1,771 more Authors all top 5 Cited in 119 Serials 457 Computer Methods in Applied Mechanics and Engineering 108 Computers & Mathematics with Applications 80 Journal of Computational Physics 70 M\(^3\)AS. 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