To request non-downloadable papers please e-mail me.
All the downloadable papers are preprint versions.
[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.
[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.
[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,
Jyväskylä, 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.
[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.
Carlo Lovadina
7 March 2013