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Beirão da Veiga, Lourenço

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Author ID: beirao-da-veiga.lourenco Recent zbMATH articles by "Beirão da Veiga, Lourenço"
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.
Homepage: http://k.matapp.unimib.it/beirao/

Publications by Year

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 1416.65433
Beirão 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 1103.65113
Bazilevs, 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 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
223
2014
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
195
2013
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
162
2010
The mimetic finite difference method for elliptic problems. Zbl 1286.65141
Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco
131
2014
Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
124
2016
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
119
2017
A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198
Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M.
115
2014
Mathematical analysis of variational isogeometric methods. Zbl 1398.65287
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
114
2014
Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305
Auricchio, 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 1222.41010
Beirão 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 1169.74643
Auricchio, 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 1336.65160
Antonietti, P. F.; Beirão da Veiga, L.; Scacchi, S.; Verani, M.
97
2016
Stability analysis for the virtual element method. Zbl 1378.65171
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro
95
2017
Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134
Beirão 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 1423.74120
Beirão da Veiga, L.; Lovadina, C.; Mora, D.
82
2015
Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods. Zbl 1353.74045
Beirão da Veiga, L.; Lovadina, C.; Reali, A.
78
2012
Locking-free isogeometric collocation methods for spatial Timoshenko rods. Zbl 1286.74057
Auricchio, F.; Beirão da Veiga, L.; Kiendl, J.; Lovadina, C.; Reali, A.
72
2013
Virtual elements for the Navier-Stokes problem on polygonal meshes. Zbl 1397.65302
da Veiga, L. Beirão; Lovadina, C.; Vacca, G.
72
2018
\(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
70
2016
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
66
2014
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
61
2011
Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171
Vacca, Giuseppe; Beirão da Veiga, Lourenco
60
2015
High-order virtual element method on polyhedral meshes. Zbl 1448.65215
Beirão 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 1227.74061
Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A.
57
2010
Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032
Beirão 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 1270.65009
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
51
2013
Analysis-suitable T-splines are dual-compatible. Zbl 1348.65048
Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G.
49
2012
Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
47
2009
Overlapping Schwarz methods for isogeometric analysis. Zbl 1250.65149
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
46
2012
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
45
2014
BDDC preconditioners for isogeometric analysis. Zbl 1280.65138
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
43
2013
Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E.
43
2017
Anisotropic NURBS approximation in isogeometric analysis. Zbl 1243.65027
Beirão da Veiga, Lourenço; Cho, Durkbin; Sangalli, Giancarlo
42
2012
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão 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 1346.65056
Beirão da Veiga, L.; Manzini, G.
38
2015
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
37
2010
A posteriori error estimates for the Morley plate bending element. Zbl 1110.74050
Beirão da Veiga, L.; Niiranen, J.; Stenberg, R.
35
2007
A mimetic discretization of the Stokes problem with selected edge bubbles. Zbl 1352.76021
Beirão da Veiga, L.; Lipnikov, K.
34
2010
Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem. Zbl 1386.74133
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E.
34
2017
An isogeometric method for the Reissner-Mindlin plate bending problem. Zbl 1243.74101
Beirão da Veiga, Lourenço; Buffa, Annalisa; Lovadina, Carlo; Martinelli, Massimiliano; Sangalli, Giancarlo
33
2012
Basic principles of \(hp\) virtual elements on quasiuniform meshes. Zbl 1344.65109
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A.
32
2016
A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201
Beirão 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 1321.74065
Beirão 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 1228.65229
Beirão 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 1352.76022
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
30
2010
An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems. Zbl 1195.65146
Beirão da Veiga, Lourenço; Manzini, Gianmarco
30
2008
A residual based error estimator for the mimetic finite difference method. Zbl 1144.65067
Beirão da Veiga, L.
30
2008
Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090
Beirão 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 1446.65185
Beirão 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 1263.65102
Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco
28
2011
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
28
2019
Isogeometric collocation methods for the Reissner-Mindlin plate problem. Zbl 1425.65199
Kiendl, J.; Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A.
27
2015
Isogeometric Schwarz preconditioners for linear elasticity systems. Zbl 1297.74113
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
26
2013
A virtual element method for the acoustic vibration problem. Zbl 1397.76059
Beirão 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 1387.65117
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A.
23
2018
Some basic formulations of the virtual element method (VEM) for finite deformations. Zbl 1439.74397
Chi, H.; da Veiga, L. Beirão; Paulino, G. H.
23
2017
Approximation of incompressible large deformation elastic problems: some unresolved issues. Zbl 1388.74011
Auricchio, Ferdinando; Beirão da Veiga, Lourenço; Lovadina, Carlo; Reali, Alessandro; Taylor, Robert L.; Wriggers, Peter
21
2013
A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136
Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco
21
2013
Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. Zbl 1404.65258
Da Veiga, L. Beirão; Mora, D.; Rivera, G.
21
2019
A stability study of some mixed finite elements for large deformation elasticity problems. Zbl 1093.74053
Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A.
20
2005
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão 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 1091.74046
Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A.
19
2005
A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201
Beirão 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 1267.65159
Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco
18
2013
Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181
Beirão 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 1152.74043
Beirão da Veiga, L.; Niiranen, J.; Stenberg, R.
16
2007
Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214
Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro
16
2018
The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171
Beirão da Veiga, L.; Dassi, F.; Vacca, G.
16
2020
Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316
Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M.
15
2014
A mimetic discretization of the Reissner-Mindlin plate bending problem. Zbl 1428.74132
Beirão da Veiga, L.; Mora, D.
14
2011
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão 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 1026.74066
Auricchio, Ferdinando; Beirão da Veiga, Lourenço
14
2003
Second-order accurate integration algorithms for von-Mises plasticity with a nonlinear kinematic hardening mechanism. Zbl 1173.74465
Artioli, E.; Auricchio, F.; Beirão da Veiga, L.
13
2007
Mimetic finite difference methods for Hamiltonian wave equations in 2D. Zbl 1448.65092
Beirão da Veiga, Lourenco; Lopez, Luciano; Vacca, Giuseppe
13
2017
Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017
Beirão 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 1193.74162
Beirão 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 1110.74824
Artioli, E.; Auricchio, F.; Beirão da Veiga, L.
12
2006
A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076
Beirão da Veiga, L.; Manzini, G.; Mascotto, L.
12
2019
Curvilinear virtual elements for 2D solid mechanics applications. Zbl 1441.74229
Artioli, E.; Beirão da Veiga, L.; Dassi, F.
12
2020
Robust BDDC preconditioners for Reissner-Mindlin plate bending problems and MITC elements. Zbl 1252.74062
Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Pavarino, L. F.
11
2010
Finite element methods for a modified Reissner-Mindlin free plate model. Zbl 1081.74040
Beirão da Veiga, L.
9
2004
Integration schemes for von Mises plasticity models based on exponential maps: numerical investigations and theoretical considerations. Zbl 1110.74055
Artioli, 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 1440.65194
Chi, Heng; Beirão da Veiga, Lourenço; Paulino, Glaucio H.
9
2019
Post processing of solution and flux for the nodal mimetic finite difference method. Zbl 1317.65215
Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario
8
2015
Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity. Zbl 1137.65342
Beirão da Veiga, L.; Lovadina, C.; Pavarino, L. F.
8
2006
A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results. Zbl 1194.74363
Beirão da Veiga, L.; Niiranen, J.; Stenberg, R.
8
2008
Overlapping Schwarz preconditioners for isogeometric collocation methods. Zbl 1425.65194
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
8
2014
Approximation estimates for isogeometric spaces in multipatch geometries. Zbl 1320.65170
Buffa, 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 1294.74061
Beirão da Veiga, Lourenço; Mora, David; Rodríguez, Rodolfo
7
2013
Asymptotic and numerical analysis of the eigenvalue problem for a clamped cylindrical shell. Zbl 1155.74025
Beirão da Veiga, L.; Hakula, H.; Pitkäranta, J.
7
2008
Preface. Zbl 1349.00239
6
2016
Isogeometric collocation mixed methods for rods. Zbl 1419.74249
Auricchio, Ferdinando; Beirão da Veiga, Lourenco; Kiendl, Josef; Lovadina, Carlo; Reali, Alessandro
6
2016
A \(C^1\) virtual element method on polyhedral meshes. Zbl 1454.65161
Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro
6
2020
A virtual element method for the miscible displacement of incompressible fluids in porous media. Zbl 07340464
Beirão da Veiga, L.; Pichler, A.; Vacca, G.
5
2021
An introduction to the numerical analysis of isogeometric methods. Zbl 1351.65086
Beirão da Veiga, Lourenço; Buffa, Annalisa; Sangalli, Giancarlo; Vázquez, Rafael
5
2016
Asymptotic energy behavior of two classical intermediate benchmark shell problems. Zbl 1061.74034
Beirão da Veiga, L.
5
2003
Asymptotic study of the solution for pinched cylindrical shells. Zbl 1091.74029
Beirão da Veiga, L.
5
2005
Generalized midpoint integration algorithms for \(J_{2}\) plasticity with linear hardening. Zbl 1194.74505
Artioli, E.; Auricchio, F.; Beirão da Veiga, L.
5
2007
A virtual element method for the miscible displacement of incompressible fluids in porous media. Zbl 07340464
Beirão da Veiga, L.; Pichler, A.; Vacca, G.
5
2021
Equilibrium analysis of an immersed rigid leaflet by the virtual element method. Zbl 07423865
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.
2
2021
Vorticity-stabilized virtual elements for the Oseen equation. Zbl 1480.65329
Beirão da Veiga, L.; Dassi, F.; Vacca, G.
1
2021
The Stokes complex for virtual elements in three dimensions. Zbl 1436.65171
Beirão da Veiga, L.; Dassi, F.; Vacca, G.
16
2020
Curvilinear virtual elements for 2D solid mechanics applications. Zbl 1441.74229
Artioli, E.; Beirão da Veiga, L.; Dassi, F.
12
2020
A \(C^1\) virtual element method on polyhedral meshes. Zbl 1454.65161
Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro
6
2020
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
5
2020
Curvilinear virtual elements for contact mechanics. Zbl 07337889
Aldakheel, 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 1446.65185
Beirão da Veiga, L.; Mora, D.; Vacca, G.
29
2019
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
28
2019
Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. Zbl 1404.65258
Da Veiga, L. Beirão; Mora, D.; Rivera, G.
21
2019
A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076
Beirão 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 1440.65194
Chi, Heng; Beirão da Veiga, Lourenço; Paulino, Glaucio H.
9
2019
Virtual elements for the Navier-Stokes problem on polygonal meshes. Zbl 1397.65302
da Veiga, L. Beirão; Lovadina, C.; Vacca, G.
72
2018
Exponential convergence of the \(hp\) virtual element method in presence of corner singularities. Zbl 1387.65117
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A.
23
2018
A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201
Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A.
19
2018
Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181
Beirão 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 1448.65214
Beirão 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 1416.78024
Da Veiga, Lourenço Beirão; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro
1
2018
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
119
2017
Stability analysis for the virtual element method. Zbl 1378.65171
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro
95
2017
High-order virtual element method on polyhedral meshes. Zbl 1448.65215
Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro
60
2017
Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E.
43
2017
Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem. Zbl 1386.74133
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E.
34
2017
Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090
Beirão 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 1397.76059
Beirão da Veiga, Lourenço; Mora, David; Rivera, Gonzalo; Rodríguez, Rodolfo
24
2017
Some basic formulations of the virtual element method (VEM) for finite deformations. Zbl 1439.74397
Chi, H.; da Veiga, L. Beirão; Paulino, G. H.
23
2017
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
19
2017
Mimetic finite difference methods for Hamiltonian wave equations in 2D. Zbl 1448.65092
Beirão da Veiga, Lourenco; Lopez, Luciano; Vacca, Giuseppe
13
2017
Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
13
2017
Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. Zbl 1369.65158
Beirão 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 1332.65162
Beirão 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 1336.65160
Antonietti, 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 1343.65134
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
88
2016
\(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
70
2016
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
40
2016
Basic principles of \(hp\) virtual elements on quasiuniform meshes. Zbl 1344.65109
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A.
32
2016
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão 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 1419.74249
Auricchio, Ferdinando; Beirão da Veiga, Lourenco; Kiendl, Josef; Lovadina, Carlo; Reali, Alessandro
6
2016
An introduction to the numerical analysis of isogeometric methods. Zbl 1351.65086
Beirão da Veiga, Lourenço; Buffa, Annalisa; Sangalli, Giancarlo; Vázquez, Rafael
5
2016
BDDC deluxe for isogeometric analysis. Zbl 1339.65228
Beirão 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 1423.74120
Beirão da Veiga, L.; Lovadina, C.; Mora, D.
82
2015
Virtual element methods for parabolic problems on polygonal meshes. Zbl 1336.65171
Vacca, Giuseppe; Beirão da Veiga, Lourenco
60
2015
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão 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 1321.74065
Beirão 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 1425.65199
Kiendl, 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 1317.65215
Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario
8
2015
Approximation estimates for isogeometric spaces in multipatch geometries. Zbl 1320.65170
Buffa, Annalisa; Hernandez Vázquez, Rafael; Sangalli, Giancarlo; Beirão da Veiga, Lourenço
7
2015
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
223
2014
The mimetic finite difference method for elliptic problems. Zbl 1286.65141
Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco
131
2014
A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198
Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M.
115
2014
Mathematical analysis of variational isogeometric methods. Zbl 1398.65287
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
114
2014
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
66
2014
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
45
2014
Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316
Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M.
15
2014
Overlapping Schwarz preconditioners for isogeometric collocation methods. Zbl 1425.65194
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
8
2014
Dual compatible splines on nontensor product meshes. Zbl 1325.41005
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
2
2014
Robust isogeometric Schwarz preconditioners for composite elastic materials. Zbl 1443.74164
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
1
2014
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
451
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
195
2013
Locking-free isogeometric collocation methods for spatial Timoshenko rods. Zbl 1286.74057
Auricchio, 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 1270.65009
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
51
2013
BDDC preconditioners for isogeometric analysis. Zbl 1280.65138
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
43
2013
Isogeometric Schwarz preconditioners for linear elasticity systems. Zbl 1297.74113
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
26
2013
Approximation of incompressible large deformation elastic problems: some unresolved issues. Zbl 1388.74011
Auricchio, Ferdinando; Beirão da Veiga, Lourenço; Lovadina, Carlo; Reali, Alessandro; Taylor, Robert L.; Wriggers, Peter
21
2013
A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136
Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco
21
2013
Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. Zbl 1267.65159
Antonietti, 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 1294.74061
Beirão da Veiga, Lourenço; Mora, David; Rodríguez, Rodolfo
7
2013
Numerical results for mimetic discretization of Reissner-Mindlin plate problems. Zbl 1273.65172
Beirão da Veiga, Lourenço; Lovadina, Carlo; Mora, David
5
2013
An adaptive MFD method for the obstacle problem. Zbl 06185705
Antonietti, P. F.; Beirão da Veiga, L.; Verani, M.
2
2013
Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305
Auricchio, 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 1353.74045
Beirão da Veiga, L.; Lovadina, C.; Reali, A.
78
2012
Analysis-suitable T-splines are dual-compatible. Zbl 1348.65048
Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G.
49
2012
Overlapping Schwarz methods for isogeometric analysis. Zbl 1250.65149
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
46
2012
Anisotropic NURBS approximation in isogeometric analysis. Zbl 1243.65027
Beirão da Veiga, Lourenço; Cho, Durkbin; Sangalli, Giancarlo
42
2012
An isogeometric method for the Reissner-Mindlin plate bending problem. Zbl 1243.74101
Beirão 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 1242.65230
Beirão da Veiga, L.; Verani, M.
1
2012
Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. Zbl 1222.41010
Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G.
102
2011
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
61
2011
Isogeometric analysis using T-splines on two-patch geometries. Zbl 1228.65229
Beirão 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 1263.65102
Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco
28
2011
A mimetic discretization of the Reissner-Mindlin plate bending problem. Zbl 1428.74132
Beirão da Veiga, L.; Mora, D.
14
2011
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, 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 1227.74061
Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A.
57
2010
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
37
2010
A mimetic discretization of the Stokes problem with selected edge bubbles. Zbl 1352.76021
Beirão da Veiga, L.; Lipnikov, K.
34
2010
Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
30
2010
A posteriori error analysis for the Morley plate element with general boundary conditions. Zbl 1193.74162
Beirão da Veiga, L.; Niiranen, J.; Stenberg, R.
12
2010
Robust BDDC preconditioners for Reissner-Mindlin plate bending problems and MITC elements. Zbl 1252.74062
Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Pavarino, L. F.
11
2010
Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032
Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G.
51
2009
Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
47
2009
On the asymptotic behaviour of shells of revolution in free vibration. Zbl 1162.74371
Artioli, Edoardo; Beirão da Veiga, Lourenco; Hakula, Harri; Lovadina, Carlo
4
2009
Stability of some finite element methods for finite elasticity problems. Zbl 1352.74320
Auricchio, F.; Beirão da Veiga, L.; Lovadina, C.; Reali, A.
1
2009
A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201
Beirão da Veiga, Lourenço; Manzini, Gianmarco
32
2008
An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems. Zbl 1195.65146
Beirão da Veiga, Lourenço; Manzini, Gianmarco
30
2008
A residual based error estimator for the mimetic finite difference method. Zbl 1144.65067
Beirão da Veiga, L.
30
2008
A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results. Zbl 1194.74363
Beirão da Veiga, L.; Niiranen, J.; Stenberg, R.
8
2008
Asymptotic and numerical analysis of the eigenvalue problem for a clamped cylindrical shell. Zbl 1155.74025
Beirão da Veiga, L.; Hakula, H.; Pitkäranta, J.
7
2008
Free vibrations for some Koiter shells of revolution. Zbl 1263.74036
Artioli, Edoardo; Beirão da Veiga, Lourenço; Hakula, Harri; Lovadina, Carlo
5
2008
...and 23 more Documents
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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
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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. Mathematical Models & Methods in Applied Sciences
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54 Journal of Computational and Applied Mathematics
52 International Journal for Numerical Methods in Engineering
43 Numerische Mathematik
42 Journal of Scientific Computing
41 SIAM Journal on Scientific Computing
38 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
36 SIAM Journal on Numerical Analysis
28 Computer Aided Geometric Design
27 Calcolo
24 Mathematics of Computation
22 Applied Numerical Mathematics
20 Engineering Analysis with Boundary Elements
18 Advances in Computational Mathematics
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14 Computers and Fluids
12 Applied Mathematics Letters
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9 Meccanica
9 ETNA. Electronic Transactions on Numerical Analysis
9 Computational Geosciences
8 Acta Mechanica
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5 Mathematics and Mechanics of Solids
5 Archives of Computational Methods in Engineering
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4 International Journal of Computational Methods
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3 Applicable Analysis
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3 Communications in Nonlinear Science and Numerical Simulation
3 Science China. Mathematics
3 GEM - International Journal on Geomathematics
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2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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1 Chinese Annals of Mathematics. Series B
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1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Computational Mathematics and Mathematical Physics
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1 International Journal of Computer Mathematics
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