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All the downloadable papers are preprint versions.

Refereed Journal Papers

[1] C. Lovadina, On the convergence of a mixed finite element method for Reissner-Mindlin plate, M^2AN, (28)5, 1994, 557-573.

[2] C. Lovadina, Some rectangular finite element methods for Reissner-Mindlin plates, M^3AS: Mathematical Models and Methods in Applied Sciences, (5)6, 1995, 777-787.


[3] C. Chinosi and C. Lovadina,
Numerical analysis of some mixed finite element methods for Reissner-Mindlin plates, Comput. Mechanics, 16(1), 1995, 36-44.


[4] C. Lovadina,
A new class of mixed finite element methods for Reissner-Mindlin plates, SIAM J. Numer. Anal., (33)6, 1996, 2457-2467.

[5] D. Boffi and C. Lovadina Analysis of new augmented Lagrangian formulations for mixed finite element schemes, Numer. Math., 75, 1997, 405-419.

[6] C. Lovadina, Analysis of strain-pressure finite element methods for the Stokes problem, Numer. Methods for PDEs, 13, 1997, 717-730.

[7] A. Cazzani and C. Lovadina, On some mixed finite element methods for plane membrane problems, Comput. Mechanics, 20, 1997, 560-572.

[8] C. Lovadina, Analysis of a mixed finite element method for Reissner-Mindlin plate problem, Comput. Methods Appl. Mech. Engrg., 163, 1998, 71-85.

[9] F. Auricchio and C. Lovadina, Partial selective reduced integration schemes and kinematically linked interpolations for plate bending problems, M^3AS: Mathematical Models and Methods in Applied Sciences, (9)5, 1999, 693-722.

[10] A. Blouza, F. Brezzi and C. Lovadina, Sur la classification des coques lineairement elastiques, C.R. Acad. Sci. Paris, Serie I, Tome 328, 1999, 831-836.

[11] C. Chinosi and C. Lovadina, Remarks on partial selective reduced integration method for Reissner-Mindlin plate problem, Computers and Structures, 73, 1999, 73-78.

[12] C. Baiocchi and C. Lovadina, Interpolation Theory and Shell Problems, Appl. Math. Letters, 13, 2000, 33-37.

[13] F. Auricchio and C. Lovadina, Analysis of kinematic linked interpolation methods for Reissner-Mindlin plate problems, Comput. Methods Appl. Mech. Engrg, 190, 2001, 2465-2482.


[14] F. Auricchio, P. Bisegna and C. Lovadina,
Finite element approximation of piezoelectric plates, Int. J. Numer. Methods Eng, 50, 2001, 1469-1499.

[15] F. Auricchio, C. Lovadina and E. Sacco, Analysis of mixed finite elements for laminated composite plates, Comput. Methods Appl. Mech. Engrg, 190, 2001, 4767-4783.

[16] C. Baiocchi and C. Lovadina, A shell classification by Interpolation, Mathematical Models and Methods in Applied Sciences, (12)10, 2002, 1359-1380.

[17] F. Auricchio, L. Beirão da Veiga and C. Lovadina, Remarks on the asymptotic behaviour of Koiter shells, Computers and Structures, 80, 2002, 735-745.

[18] F. Auricchio, C. Lovadina and A.L. Madureira, An asymptotically optimal model for isotropic heterogeneous linearly elastic plates, Mathematical Modelling and Numerical Analysis, 38, 2004, 877-897.


[19] C. Lovadina and F. Auricchio,
On the Enhanced Strain Technique for Elasticity Problems, Computers and Structures, 81, 2003, 777-787.

[20] P. Hansbo, C. Lovadina, I. Perugia and G. Sangalli, A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes, Numerische Mathematik, 100, 2005, 91-115.

[21] F. Auricchio, L. Beirão da Veiga, C. Lovadina and A. Reali, An analysis of some mixed-enhanced finite element for plane linear elasticity, Comput. Methods Appl. Mech. Engrg., 194, 2005, 2947-2968.

[22] C. Lovadina, A low-order nonconforming finite element for Reissner-Mindlin plates, SIAM J. Numer. Anal., 42, 2005, 2688-2705.

[23] F. Auricchio, L. Beirão da Veiga, C. Lovadina and A. Reali, A Stability Study of some Mixed Finite Elements for Large Deformation Elasticity Problems, Comput. Methods Appl. Mech. Engrg., 194, 2005, 1075-1092.

[24] C. Lovadina and R. Stenberg, Energy norm a posteriori error estimates for mixed finite element methods, Math. Comp, 75, 2006, 1659-1674.

[25] C. Lovadina and R. Stenberg, A posteriori error analysis of the linked interpolation technique for plate bending problems, SIAM J. Numer. Anal., 43, 2005, 2227-2249.

[26] C. Chinosi, C. Lovadina and L.D. Marini, Nonconforming locking-free finite elements for Reissner-Mindlin plates, Comput. Methods Appl. Mech. Engrg., 195, 2006, 3448-3460.

[27] L. Beirão da Veiga, C. Lovadina and L.F. Pavarino, Positive Definite Balancing Neumann-Neumann preconditioners for Nearly Incompressible Elasticity, Numer. Mathematik, 104, 2006, 271-296.

[28] L. Beirão da Veiga and C. Lovadina, Asymptotics of Shell Eigenvalue Problems, C.R. Acad. Sci. Paris, Ser. I, 342, 2006, 707-710.

[29] L. Beirão da Veiga and C. Lovadina, An Interpolation Theory approach to shell eigenvalue problems, Mathematical Models and Methods in Applied Sciences, 18, 2008, 2003-2018.

[30] C. Lovadina, M. Lyly and R. Stenberg, A posteriori estimates for the Stokes eigenvalue problem, Numer. Methods for PDEs, 25, 2009, 244-257.

[31] F. Auricchio, L. Beirão da Veiga, A. Buffa, C. Lovadina, A. Reali and G. Sangalli, A fully "locking-free" isogeometric approach for plane linear elasticity problems: a stream function formulation, Comput. Methods Appl. Mech. Engrg., 197, 2007, 160-172.

[32] L. Beirão da Veiga, C. Chinosi, C. Lovadina, and R. Stenberg, A-priori and a-posteriori error analysis for a family of Reissner-Mindlin plate elements, BIT Numerical Mathematics, 48, 2008, 189-213.

[33] E. Artioli, L. Beirão da Veiga, H. Hakula and C. Lovadina, Free vibrations for some Koiter shells of revolution, Appl. Math. Letters, 21, 2008, 1245-1248.

[34] F. Auricchio, L. Beirão da Veiga, C. Lovadina and A. Reali, The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations, Comput. Methods Appl. Mech. Engrg., 199, 2010, 314-323.

[35] E. Artioli, L. Beirão da Veiga, H. Hakula and C. Lovadina, On the asymptotic behaviour of shells of revolution in free vibration, Comput. Mechanics, 44, 2009, 45-60.

[36] C. Lovadina, L.D. Marini, A-Posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems, Journal of Scientific Computing, 40, 2009, 340-359.

[37] L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, Robust BDDC preconditioners for Reissner-Mindlin plate bending problems and MITC elements, SIAM J. Numer. Anal., 47, 2010, 4214-4238.

[38] C. Lovadina, D. Mora, R. Rodriguez, Approximation of the buckling problem for Reissner-Mindlin plates, SIAM Numer. Anal., 48, 2010, 603-632.

[39] C. Lovadina, D. Mora, R. Rodriguez, A locking-free finite element method for the buckling problem of a non-homogeneous Tmoshenko beam, ESAIM Mathematical Modelling and Numerical Analysis, 45, 2011, 603-626.

[40] F. Auricchio, G. Balduzzi, C. Lovadina, A new modeling approach for planar beams: finite-element solutions based on mixed variational derivations, Journal of Mechanics of Materials and Structures, 5, 2010, 771-794.

[41] L. Beirão da Veiga, A. Buffa, C. Lovadina, M. Martinelli and G. Sangalli, An isogeometric method for the Reissner-Mindlin plate bending problem, Comput. Methods Appl. Mech. Engrg., 209, 2012, 45-53.

[42] L. Beirão da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, BDDC preconditioners for Naghdi shell problems and MITC9 elements, Computers and Strucutres, 102, 2012, 28-41.

[43] L. Beirão da Veiga, C. Lovadina, A. Reali, Avoiding shear locking for the Timoshenko beam problem via Isogeometric collocation methods, Comput. Methods Appl. Mech. Engrg., 241, 2012, 38-51.

[44] P.F. Antonietti, L. Beirão da Veiga, C. Lovadina, M. Verani, Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems, SIAM J. Numer. Anal., 51(1), 2013, 654-675.

[45] F. Auricchio, L. Beirão da Veiga, J. Kiendl, C. Lovadina, A. Reali, Locking-free isogeometric collocation methods for spatial Timoshenko rods, Comput. Methods Appl. Mech. Engrg., 263, 2013, 113-126.

[46] F. Auricchio, L. Beirão da Veiga, C. Lovadina, A. Reali, RL Taylor, P. Wriggers, Approximation of incompressible large deformation elastic problems: some unresolved isues, Comput. Mechanics, 52, 2013, 1153-1167.

[47] F. Auricchio, G. Balduzzi, C. Lovadina, The dimensional reduction modelling approach for 3D beams: differential equations and finite-element solutions based on Hellinger-Reissner principle, Int. Journal of Solids and Structures, 50, 2013, 4184-4196. 

[48] L. Beirão da Veiga, C. Lovadina, D. Mora, Numerical results for mimetic discretization of Reissner-Mindlin plate problems, Calcolo, 50, 2013, 209-237.

[49] L. Beirão da Veiga, T.J. R. Hughes, J. Kiendl, C. Lovadina, J. Niiranen, A. Reali, H. Speleers, A locking-free model for Reissner-Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS, Mathematical Models and Methods in Applied Sciences, 25, 2015, 1519-1551.

[50] F. Auricchio, G. Balduzzi, C. Lovadina, The Dimensional Reduction Approach for 2D Non-prismatic Beam Modelling: a Solution Based on Hellinger-Reissner Principle, Int. Journal of Solids and Structures, 63, 2015, 264-276.

[51] L. Beirão da Veiga, C. Lovadina, D. Mora, A Virtual Element Method for elastic and inelastic problems on polytope meshes, Comput. Methods Appl. Mech. Engrg., 295, 2015, 327-346.

[52] L. Beirão da Veiga, C. Lovadina, G. Vacca, Divergence free Virtual Elements for the Stokes problem on polygonal meshes, submitted to ESAIM Mathematical Modelling and Numerical Analysis.

Surveys

[1] F. Auricchio, F. Brezzi and C. Lovadina, Mixed Finite Element Methods, in Encyclopedia of Computational Mechanics, Vol. 1 - Chapter 9, Wiley and Sons. Editors: E. Stein, R. de Borst, T.J.R. Hughes, 2004.

[2] C. Lovadina,
A brief overview of plate finite element methods, A brief overview of plate finite element methods, in Integral Methods in Science and Engineering, Volume 2: Computational Aspects, Chapter 25, Birkhauser Boston. Editors: C. Constanda and M.E. Perez, 2010.

Proceedings

[1] C. Chinosi and C. Lovadina, Mixed finite elements for Reissner-Mindlin plate model, in Advances in Finite Element Techniques, CIVIL-COMP, M. Papadrakakis and B.H.V. Topping Eds, 1994, 33-38.

[2] A. Cazzani and C. Lovadina,
Finite elements for plane membrane problems with unsymmetric stresses, in Joint Conference of Italian Group of Computational Mechanics and Ibero-Latin American Association of Computational Methods in Engineering, 1996, 69-72.

[3] F. Auricchio and C. Lovadina,
Linking methods for Reissner-Mindlin plate problems, in Atti del Congresso GIMC 98, Trento, 1998, 13-16.

[4] F. Auricchio, C. Lovadina and E. Sacco,
Finite Element Techniques for laminated composite plates, in CD-Rom of the Proceedings of ECCOMAS 2000, Barcelona, 2000.

[5] C. Lovadina,
Energy estimates for linear elastic shells, in Proceedings of the first MIT Conference on Computational Fluid and Solid Mechanics, Vol. I, Elsevier, 2001, 330-331.

[6] C. Lovadina,
Energy estimates for shell problems, in Numerical Mathematics and Advanced Applications ENUMATH2001, Springer, 2003, 381-388.

[7] C. Lovadina, R. Nascimbene, I. Perugia and P. Venini,
Mixed methods for interface problems, in Proceedings of the second MIT Conference on Computational Fluid and Solid Mechanics, Vol. II, Elsevier, 2003, 2053-2056.

[8] F. Auricchio, L. Beirão da Veiga, C. Lovadina and A. Reali,
Enhanced Strain Methods for Elasticity Problems, in CD-Rom of the Proceedings of ECCOMAS 2004.

[9] P. Hansbo, C. Lovadina, I. Perugia, and G. Sangalli,
A Lagrange multiplier method for elliptic interface problems using non-matching meshes, in Applied and Industrial Mathematics in Italy (M. Primicerio, R. Spigler, and V. Valente Eds.), Series on Advances in Mathematics for Applied Sciences 69, (2005), 360-370, World Scientific.

[10] C. Chinosi, C. Lovadina, and L.D. Marini,
Nonconforming finite elements for Reissner-Mindlin plates, in Applied and Industrial Mathematics in Italy (M. Primicerio, R. Spigler, and V. Valente Eds.), Series on Advances in Mathematics for Applied Sciences 69, (2005), 213-224, World Scientific.

Technical Reports and other papers


[1] C. Lovadina and I. Perugia, Finite element methods for piezoelectric Reissner-Mindlin plates, Rend. Ist. Lomb. Sez. A - Analisi Numerica, 129, 1995, 121-134.

[2] D. Boffi and C. Lovadina, Remarks on augmented Lagrangian formulations for mixed finite element schemes, Bollettino UMI, 11-A, 1997, 41-55.

[3] A. Blouza, F. Brezzi and C. Lovadina, A new classification for shell problems, Pubblicazioni IAN-CNR n. 1128, Pavia, 1999.


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Carlo Lovadina


10 October
2015