• N. Alshehri, D. Boffi, L. Gastaldi
  A posteriori error estimator for elliptic interface problems in the fictitious formulation submitted, arXiv:2407.00786 [math.AP]

• D. Boffi, F. Credali, L. Gastaldi
  Quadrature error estimates on non-matching grids in a fictitious domain framework for fluid-structure interaction problems submitted, arXiv:2406.03981 [math.AP]

• L. Alzaben, D. Boffi, A. Dedner, L. Gastaldi
  On the stabilization of a virtual element method for an acoustic vibration problem submitted, arXiv:2401.04485 [math.AP]

• F. Bertrand, D. Boffi, L. Gastaldi
  Approximation of the Maxwell eigenvalue problem in a Least-Squares setting
  Computers and Mathematics with Applications 148 (2023) pp. 302-312 arXiv:2305.08996 [math.AP]

• D. Boffi, A. Cangiani, M. Feder. L. Gastaldi, L. Heltai
  A comparison of non-matching techniques for the finite element approximation of interface problems
  Computers and Mathematics with Applications 151 (2023) pp. 101-115 arXiv:2304.11908 [math.AP]

• D. Boffi, F. Credali, L. Gastaldi, S. Scacchi
  A parallel solver for FSI problems with fictitious domain approach
  Mathematical and Computational Applications 28 (2023) DOI: 10.3390/mca28020059 arXiv:2301.10041 [math.AP]

• D. Boffi, F. Credali, L. Gastaldi, S. Scacchi
  A parallel solver for fluid structure interaction problems with Lagrange multiplier
  Mathematics and Computers in Simulation 220 (2024) pp. 406-424 arXiv:2212.13410 [math.AP]

• N. Alshehri, D. Boffi, L. Gastaldi
  Unfitted mixed finite element methods for elliptic interface problems
  Numer. Methods Partial Differential Equations 40 (2024) arXiv:2211.03443 [math.AP]

• D. Boffi, F. Credali, L. Gastaldi
  On the interface matrix for fluid-structure interaction problems with fictitious domain approach
  Comp. Meth. Appl. Mech. Eng. 401 (2022) DOI: 10.1016/j.cma.2022.115650, arXiv:2205.13350 [math.AP]

• D. Boffi, L. Gastaldi
  Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interaction
  Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 33 (2022), no. 1, pp. 109-137 arXiv:2104.13624 [math.AP]

• D. Boffi, F. Gardini, L. Gastaldi
  Virtual element approximation of eigenvalue problems
  SEMA SIMAI Springer Series, vol. 31 (2022) pp. 275-320 arXiv:2012.15660 [math.AP]

• M. Annese, M.A. Fernández, L. Gastaldi
  Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis
  IMA J. Numer. Anal. 43 (2023) pp. 881-919 DOI, arXiv:2007.04699 [math.AP]

• D. Boffi, L. Gastaldi
  On the existence and the uniqueness of the solution to a fluid-structure interaction problem
  J. of Differential Equations, 279 (2021) pp. 136-161 arXiv:2006.10536 [math.AP]

• D. Boffi, F. Gardini, L. Gastaldi
  Approximation of PDE eigenvalue problems involving parameter dependent matrices
  Calcolo, 57 (2020) pp. 41 doi: 10.1007/s10092-020-00390-6 arXiv:2001.01304 [math.NA]

• R.G. Durán, L. Gastaldi, A. Lombardi
  Analysis of finite element approximations of Stokes equations with non-smooth data
  SIAM J. of Numerical Analysis, 58 (2020) pp. 3308-3331 doi: 10.1137/19M1305872 arXiv:1912.04962 [math.NA]

• D. Boffi, L. Gastaldi, S. Wolf
  Higher-order time-stepping schemes for fluid-structure interaction problems
  Discrete Contin. Dyn. Syst.Ser. B, 25 (2020) pp. 3807-3830 doi: 10.3934/dcdsb.2020229 arXiv:1907.00406 [math.NA]

• D. Boffi, L. Gastaldi
  Adaptive finite element method for the Maxwell eigenvalue problem.
  SIAM J. of Numerical Analysis, 57 (2019) pp. 478-494 doi: 10.1137/18M1179389 arXiv:1804.02377 [math.NA]

• D. Boffi, L. Gastaldi, L. Heltai
  A distributed Lagrange formulation of the Finite Element Immersed Boundary Method for fluids interacting with compressible solids.
  Mathematical and Numerical Modeling of the Cardiovascular System and Applications, D. Boffi, L. Pavarino, G. Rozza, S. Sacchi, C. Vergara eds., SEMA-SIMAI Springer Series, 16 (2018) pp. 1-21. arXiv:1712.02545 [math.NA]

• D. Boffi, L. Gastaldi, R. Rodríguez, I. Šebestová
  A posteriori error estimates for Maxwell's eigenvalue problem
  Journal of Scientific Computing, 78 (2019) pp. 1250-1271 doi: 10.1007/s10915-018-0808-5

• D. Boffi, L. Gastaldi, R. Rodríguez, I. Šebestová
  Residual-based a posteriori error estimation for the Maxwell's eigenvalue problem
  IMA J. of Numerical Analysis 37 (2017) pp.1710-1732 doi: 10.1093/imanum/drw066 arXiv:1602.00675 [math.NA]

• D. Boffi, L. Gastaldi
  A fictitious domain approach with Lagrange multiplier for fluid-structure interactions
  Numer. Math. 135 (2017) pp.711-732 doi:10.1007/s00211-016-0814-1 arXiv:1510.06856 [math.NA]

• D. Boffi, D. Gallistl, F. Gardini, and L. Gastaldi
  Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form
  Math. Comp. 88 (2017) pp. 2213-2237 arXiv:1504.06418 [math.NA]

• D. Boffi, L. Gastaldi
  Discrete models for fluid-structure interactions: the Finite Element Immersed Boundary Method
  Discrete and Continuous Dynamical Systems, Series S, 9 (2016) pp. 89-107 arXiv:1407.5261 [math.NA]

• D. Boffi, N. Cavallini, L. Gastaldi
  The Finite Element Immersed Boundary Method with Distributed Lagrange multiplier
  SIAM J. of Numerical Analysis 53 (2015) pp. 2584-2604 arXiv:1407.5184 [math.NA]

• D. Boffi, R.G. Durán, F. Gardini, L. Gastaldi
  A posteriori error analysis for nonconforming approximation of multiple eigenvalues
  Mathematical Methods in the Applied Sciences 40 (2017) pp. 350-369 doi:10.1002/mma.3452

• D. Boffi, N. Cavallini, L. Gastaldi
  Advances in the mathematical theory of the finite element immersed boundary method
  Progress in Industrial Mathematics at ECMI 2014 Proceedings V. Capasso and G. Russo (Eds.), Springer Mathematics in Industry 22 (2018), pp.303-310

• D. Boffi, L. Gastaldi, M. Ruggeri
  Mixed formulation for interface problems with distributed Lagrange multiplier
  Computers and Mathematics with Applications, 68 (2014), pp. 2151-2166

• F. Auricchio, D. Boffi, L. Gastaldi, A. Lefieux and A. Reali
  On a fictitious domain method with distributed Lagrange multiplier for interface problems
  APNUM, 95 (2015), pp. 36-50

• F. Auricchio, D. Boffi, L. Gastaldi, A. Lefieux and A. Reali
  A study on unfitted 1D finite element methods
  Computers and Mathematics with Applications 68 (2014), pp. 2080-2102

• F. Cavalli, and L. Gastaldi
  Local enrichment of finite elements for interface problems,
  Computers and Structures 133 (2014) pp. 111-121

• D. Boffi, N. Cavallini, F. Gardini, and L. Gastaldi
  Stabilized Stokes elements and local mass conservation
  Bollettino U.M.I., (9) ,V, No.3 (2012) pp. 543-573

• D. Boffi and L. Gastaldi
  Some remarks on finite element approximation of multiple eigenvalues.
  APNUM, 79 (2014) pp. 18-28.

• D. Boffi, A. Buffa, L. Gastaldi
  Convergence analysis for hyperbolic evolution problems in mixed form
  Numerical Linear Algebra with Applications, 20(4) (2013) pp. 541-556.
  

• D. Boffi, N. Cavallini, F. Gardini, L. Gastaldi
  Immersed boundary method: performance analysis of popular finite element spaces
  In COUPLED PROBLEMS 2011. Computational Methods for Coupled Problems in Science and Engineering IV. M. Papadrakakis, E. Onate and B. Schrefler (Eds). Cimne. ISBN: 978-84-87867-59-0
  

• D. Boffi, N. Cavallini, F. Gardini, L. Gastaldi
  Local mass conservation of Stokes finite elements,
  J. Sci. Comput., 52 (2012) 383-400 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
  preprint (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.

A copy of my papers can be requested directly to me by e-mail.