D. Boffi, N. Cavallini, F. Gardini, L. Gastaldi
Local mass conservation of Stokes finite elements,
J. Sci. Comput., to appear (2011)
doi:10.1007/s10915-011-9549-4
D. Boffi, F. Gardini, L. Gastaldi
Some remarks on eigenvalue approximation by finite elements,
In Frontiers in Numerical Analysis - Durham 2010
Springer Lecture Notes in Computational Science and Engineering, 85 (2012),
1-77.
D. Boffi, N. Cavallini, L. Gastaldi
Finite element approach to immersed boundary method with different
fluid and solid densities
M3AS Math. Models Methods Appl. Sci., 21 (2011) 2523-2550
doi:10.1142/S0218202511005829.
D. Boffi, L. Gastaldi
Some remarks on quadrilateral mixed finite elements
Computers & Structures, 87 (2009) 751-757
doi:10.1016/j.compstruc.2008.12.006.
D. Boffi, L. Gastaldi, eds.
Mixed Finite Elements, Compatibility Conditions, and Applications
Lecture Notes in Mathematics, LNMCIME 1939, Springer, (2008)
cover
D. Boffi, L. Gastaldi, L. Heltai, C.S. Peskin
A note on the hyper-elastic formulation of the immersed boundary method
Comp. Meth. Appl. Mech. Eng., 197 (2008) 2210-2231.
D. Boffi, L. Gastaldi, L. Heltai
On the CFL condition for the finite element immersed boundary method
Computers and Structures, 85 (2007) 775-783
D. Boffi, L. Gastaldi, L. Heltai
Stability results and algorithmic strategies for the finite element approach to
the immersed boundary method
In Springer-Verlag, editor, Proceeding of the Sixth European Conference on
Numerical Mathematics and Advanced Applications, pages 557-566, 2005.
paper
D. Boffi, L. Gastaldi, L. Heltai
Numerical stability of the finite element immersed boundary method
M3AS Math. Models Methods Appl. Sci., 17 (2007) 1479-1505
D. Boffi, L. Gastaldi, L. Heltai
The finite element immersed boundary method: model, stability, and numerical
results
In Computational Methods for Coupled Problems in Science and Engineering
COUPLED PROBLEMS 2005, Papadrakakis, Onate, Schrefler Eds., Cimne.
D. Boffi, L. Gastaldi, L. Heltai
Stability results for the finite element approach to the immersed boundary
method.
In Computational fluid and solid mechanics 2005 Third MIT
Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005,
K.J. Bathe editor, pp. 93-96.
L. Gastaldi
A finite element approach to the immersed boundary method
MATHEMATISCHES FORSCHUNGSINSTITUT OBERWOLFACH, Mini-Workshop: Interface
Problems in Computational Fluid Dynamics, February 20-26, 2005, Report No.
8/2005, pp. 9016.
D. Boffi, A. Buffa, L. Gastaldi,
Convergence analysis for hyperbolic evolution problems in mixed form
submitted
(paper).
D. Boffi, L. Gastaldi,
Interpolation estimates for edge finite elements and application to band
gap computation
Applied Numerical Mathematics, 56 (2006) 1283-1292.
D. Boffi, L. Gastaldi, L. Heltai
A finite element approach to the immersed boundary method
Progress in Engineering Computational Technology, B.H.V. Topping and
C.A. Mota Soares Eds., Saxe-Coburg Publications, Stirling, Scotland, (2004),
Chapt.12 , pp. 271-298.
(paper).
D. Boffi, M. Conforti, L. Gastaldi,
Modified edge finite elements for photonic crystals
Numer. Math. 105 (2006) 249-266
D. Boffi, L. Gastaldi,
Analysis of finite element approximation of evolution problems in mixed form
SIAM J. Numer. Anal., 42 (2004) 1502-1526.
D. Boffi, L. Gastaldi,
Stability and Geometric Conservation Laws for ALE formulations
Comp. Meth. Appl. Mech. Eng., 193 (2004) 4717-4739.
D. Boffi, L. Gastaldi,
The immersed boundary method: a finite element approach
Proc. of the Second M.I.T. Conference on Computational Fluid and Solid
Mechanics, June 17-20, 2003, U.S.A. , K.J. Bathe editor, Elsevier, vol.2
(2003) pp.1263-1266.
(paper).
D. Boffi, L. Gastaldi,
A finite element approach for the immersed boundary method.
Computer & Structures., 81 (2003), pp.491-501.
(paper).
D. Boffi, L. Gastaldi,
G. Naldi
Application of Maxwell equations.
In Proceedings of SIMAI 2002..
(paper).
D. Boffi, L. Gastaldi
Edge finite elements for the approximation of Maxwell resolvent operator. Mathematical Modelling and Numerical Analysis, M2AN, 36 (2002),
pp.293-305.
D. Boffi, L. Gastaldi
On the time-harmonic Maxwell equations in general domains. Numerical Mathematics and Advanced Applications, Proc. of Enumath 2001,
, Ischia, July 2001, Brezzi et al. eds, Springer Verlag (2002),
pp.243-254.
D. Arnold, D. Boffi, R. Falk, L. Gastaldi
Finite element approximation on quadrilateral meshes Communications in Numerical Methods in Engineering, 17 (2001), pp.805-812
D. Boffi, L. Gastaldi
Eigenmodes computation on quadrilateral meshes.
Computing and Visualization in Science, 4 (2001) pp 87-92
L. Gastaldi
A priori error estimates for the Arbitrary Lagrangian Eulerian formulation
with finite element East-West J. Numer. Math., 9 (2001), 123-156.
D. Boffi, L. Gastaldi
On the "-grad div+s curl rot" operator Proc. of MIT First Conference on "Computational fluid and solid mechanics",
June 12-15 2001, K.J. Bathe, editor, Elsevier, Vol. 2, (2001),
1526-1529.
(paper).
D. Boffi, L. Gastaldi
On the quadrilateral Q2-P1 element for the Stokes problem Int. J. Numer. Meth. Fluids, 39 (2002) pp. 1001-1011.
D. Boffi, L. Gastaldi
Finite element approximation of Maxwell's Eigenproblems Proc. of ENUMATH '99, Jyväskyä, Finland, July 26-30, 1999, ed.
by P. Neittaanmäki, T. Tiihonen and P. Tarvainen, World Scientific, Singapore, (2000), 502-509.
D. Boffi, L. Gastaldi
Remarks on quadrilateral finite elements for a fluid-structure eigenproblem
European Congress on Computational Methods in Applied Sciences and Engineering.
ECCOMAS 2000.
D. Boffi, C. Chinosi, L. Gastaldi
Approximation of the grad div operator in non-convex domains CMES, 1 (2000) 27-38.
D. Boffi, C. Chinosi, L. Gastaldi
Penalized approximation of the vibration frequencies of a fluid in a cavity CVS, 3 (2000) 19-23.
D. Boffi, M. Farina, L. Gastaldi
On the approximation of Maxwell's eigenproblem in general 2D domains. Computer and Structures, 79 (2001) 1089-1096.
R.G. Duran, L. Gastaldi, C. Padra
A posteriori error estimators for mixed approximations of eigenvalue problems
Math. Models Methods Appl. Sci., 9 (1999) 1165-1178.
D. Boffi, F. Brezzi, L. Gastaldi
On the problem of spurious eigenvalues in the approximation of linear
elliptic problems in mixed form Math. Comp., 69 (2000) 121-140.
D. Boffi, P. Fernandes, L. Gastaldi, I. Perugia
Computational models of electromagnetic resonators: analysis of edge element
approximation. SIAM J. Numer. Anal., 36 (1999), 1264-1290.
D. Boffi, R.G. Duran, L. Gastaldi
A remark on spurious eigenvalues in a square Applied Mathematics Letters , 12 (1999) 107-114.
D. Boffi, F. Brezzi, L. Gastaldi
Mixed finite elements for Maxwell's eigenproblem: the question of spurious
modes
In Enumath 97 Proceedings of the Second European Conference on
Numerical Mathematics and Advanced Applications ,
Bock, H.G. and Brezzi, F. and Glowinski, R. and Kanschat, G.
and Kuznetsov, Y.A. and P\'eriaux, J. and Rannacher, R. eds.,
World Scientific Publishing Co. Pte. Ltd.(1998), 180-187.
D. Boffi, F. Brezzi, L. Gastaldi
On the convergence of eigenvalues for mixed formulations Ann. Scuola Norm. Sup. Pisa Cl. Sci. XXV (1997) 131-154
(paper).
D. Boffi, P. Fernandes, L. Gastaldi, I. Perugia
Edge approximation of eigenvalue problems arising from electromagnetics.
In Numerical methods in Engineering '96, proceedings of
ECCOMAS '96, Parigi
(Desideri, Le Tallec, Onate, Periaux, Stein eds.), pp. 551-556.
F. Gastaldi, L. Gastaldi, A. Quarteroni
ADN And ARN Domain Decomposition Methods for Advection Diffusion Equations
In DD9 Proceedings , Petter Bjorstad, Magne Espedal and David Keyes
eds., (1998).
F. Gastaldi, L. Gastaldi, A. Quarteroni
Adaptive domain decomposition methods for advection dominated equations East-West J. Numer. Math. 4 (1996) 165-206.
L. Gastaldi
Mixed finite element methods in fluid structure systems Numer. Math. 74 (1996) 153-176.
F. Gastaldi, L. Gastaldi
Convergence of subdomain iterations for the transport equation Boll. U.M.I. 9-B(1995) 175-202.
L. Gastaldi
Mixed finite element methods in fluid structure systems
In Finite element methods: fifty years of the Courant method
Lecture Notes in pure and applied mathematics Vol. 164, Springer Verlag (1994)
217-223.
L. Gastaldi
A domain decomposition for the transport equation
In Proc. of the Sixth Int. Conf on Domain
Decomposition Methods in Science and Engineering,
A. Quarteroni ed., Conteporary Mathematics, 157 (1994) 97-102.
L. Gastaldi
Uniform interior error estimates for the Reissner-Mindlin plate model Math. Comp. 61 (1993) 539-567.
F. Gastaldi, L. Gastaldi
On a domain decomposition for the transport equation: theory and finite
element approximation IMA J. Num. Anal. 14 (1993) 111-135.
L. Gastaldi
A domain decomposition method associated with streamline diffusion FEM for
linear hyperbolic systems Applied Numerical Mathematics 10 (1992) 357-380.
L. Gastaldi, R.H. Nochetto
Quasi - optimal pointwise error estimates for Reissner - Mindlin Plate SIAM J. Num. Anal. 28 (1991) 363-377.
L. Gastaldi
Error analysis for a singular perturbation problem in semiconductors Boll. U.M.I. 4-B (1990) 591-611.
F. Brezzi, A.C. Capelo, L. Gastaldi
A singular perturbation analysis for semiconductor device equations SIAM J. Math. Anal. 20 (1989) 372-387.
L. Gastaldi, R.H. Nochetto
Sharp maximum norm error estimates for general mixed finite element
approximations to second order elliptic equations
M2AN 23 (1989) 103-128.
L. Gastaldi, R.H. Nochetto
On $L^\infty $- accuracy of mixed finite element methods for second order
elliptic problems Mat. Aplic. Comp. 7 (1988) 13-39.
L. Gastaldi, R.H. Nochetto
Optimal $L^\infty $ - error estimates for nonconforming and mixed finite
element methods of lowest order Numer. Math. 50 (1987) 587-611.
L. Gastaldi, F. Tomarelli
A nonlinear and nonlocal evolution equation describing the muscle contraction
Nonlinear Analysis. Theory, Methods and Appl. 11 (1987) 163-182.
F. Brezzi, L. Gastaldi
Mathematical properties of 1-d semiconductors Mat. Aplic. Comp. 5 (1986) 123-137.
L. Gastaldi, F. Tomarelli
A uniqueness result for a nonlinear hyperbolic equation
Ann. Mat. Pura e Appl. 137 (1984) 175-205.
L. Gastaldi
Approximation of a second order
Stefan-like problem by means of a finite element method Calcolo 20 (1983) 293-318.
L. Gastaldi, G. Gilardi
An error estimate for an approximation of a parabolic variational inequality
Boll. U.M.I. 1-B (1982) 501-521.
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