N. Alshehri, D. Boffi, and C. Chaoveeraprasit, Multigrid
Preconditioning for FD-DLM Method in Elliptic Interface Problems.
arXiv:2503.00146 [math.NA]
F. Bertrand, D. Boffi, A. Düster, J.-L. Guermond, N. Heuer, J. Li,
and W. Rachowicz, Innovative discretizations of PDEs: Towards an accurate
representation of the reality (Editorial). Computers & Mathematics with
Applications, 176 (2024) 221-223.
N. Alshehri, D. Boffi, and L. Gastaldi, A posteriori error estimator
for elliptic interface problems in the fictitious formulation. Journal of
Scientific Computing, to appear.
arXiv:2407.00786 [math.NA]
D. Boffi, F. Credali, and L. Gastaldi, Quadrature error estimates on
non-matching grids in a fictitious domain framework for fluid-structure
interaction problems.
arXiv:2406.03981 [math.NA]
D. Boffi, O. Certik, F. Gardini, and G. Manzini, The Partition of
Unity Finite Element Method for the Schrödinger Equation. Comput.
Methods Appl. Math., to appear.
C. Astuto, D. Boffi, G. Russo, and U. Zerbinati, A nodal ghost
method based on variational formulation and regular square grid for elliptic
problems on arbitrary domains in two space dimensions.
arXiv:2402.04048 [math.NA]
L. Alzaben, D. Boffi, A. Dedner, and L. Gastaldi, On the
stabilization of a virtual element method for an acoustic vibration problem.
Mathematical Models and Methods in Applied Sciences, to appear.
arXiv:2401.04485 [math.NA]
D. Boffi, R. Codina, Ö. Türk,
Nitsche's prescription of Dirichlet conditions in the finite element
approximation of Maxwell's problem.
arXiv:2310.18015 [math.NA]
F. Bertrand, D. Boffi, and L. Gastaldi,
Approximation of the Maxwell eigenvalue problem in a Least-Squares setting.
Computers & Mathematics with Applications, 148 (2023) 302-312.
arXiv:2305.08996 [math.NA]
D. Boffi, A. Cangiani, M. Feder, L. Gastaldi, and L. Heltai,
A comparison of non-matching techniques for the finite element approximation of
interface problems. Computers & Mathematics with Applications, 151
(2023), 101-115.
arXiv:2304.11908 [math.NA]
D. Boffi, R. Codina, and Önder Türk, Finite element
formulations for Maxwell's eigenvalue problem using continuous Lagrangian
interpolations.
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M. Alghamdi, F. Bertrand, D. Boffi, and A. Halim, A data-driven
method for parametric PDE Eigenvalue Problems using Gaussian Process with
different covariance functions. Comput. Methods Appl. Math., 24(3)
(2024), pp. 533-555.
arXiv:2303.18064 [math.NA]
D. Boffi, A. Halim, and G. Priyadarshi, On the effect of different
samplings to the solution of parametric PDE Eigenvalue Problems. Examples
and Counterexamples, 6 (2024), 100170.
arXiv:2303.14455 [math.NA]
C. Astuto, D. Boffi, and F. Credali, Finite element discretization
of a biological network formation system: a preliminary study. In:
Parés, C., Castro, M.J., Morales de Luna, T., Muñoz-Ruiz, M.L.
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D. Boffi, A. Halim, and G. Priyadarshi, Reduced basis approximation
of parametric eigenvalue problems in presence of clusters and intersections.
Computational and Applied Mathematics, Comp. Appl. Math. 43, 443
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C. Astuto, D. Boffi, J. Haskovec, P. Markowich, and G. Russo,
Asymmetry and condition number of an elliptic-parabolic system for biological
network formation. Communications on Applied Mathematics and Computation
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D. Boffi, F. Credali, L. Gastaldi, and S. Scacchi, A parallel solver
for FSI problems with fictitious domain approach. Math. Comput. Appl.,
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F. Bertrand, D. Boffi, and A. Halim, Data-driven reduced order
modeling for parametric PDE eigenvalue problems using Gaussian process
regression. J. Comput. Phys., 495 (2023), Paper No. 112503, 28.
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D. Boffi, F. Credali, L. Gastaldi, and S. Scacchi, A parallel solver
for fluid structure interaction problems with Lagrange multiplier. Math.
Comput. Simul., 220 (2024), 406-424.
arXiv:2212.13410 [math.NA]
N. Alshehri, D. Boffi, and L. Gastaldi, Unfitted mixed finite
element methods for elliptic interface problems. Numerical Methods for
Partial Differential Equations, 2024, 40:e23063.
arXiv:2211.03443 [math.NA]
C. Astuto, D. Boffi, J. Haskovec, P. Markowich, and G. Russo,
Comparison of two aspects of a PDE model for biological network formation.
Mathematical and Computational Applications, 27(5) (2022) 87
arXiv:2209.08292 [math.NA]
M. M. Alghamdi, D. Boffi, and F. Bonizzoni, A greedy MOR method for
the tracking of eigensolutions to parametric elliptic PDEs. J. Comput. Appl.
Math., 457 (2025) 116270
arXiv:2208.14054 [math.NA]
F. Bertrand and D. Boffi, On the necessity of the inf-sup condition
for a mixed finite element formulation. IMA Journal of Numerical
Analysis, 2024, drae002,
arXiv:2206.06968 [math.NA]
D. Boffi, F. Credali, and L. Gastaldi, On the interface matrix for
fluid-structure interaction problems with fictitious domain approach.
Computer Methods in Applied Mechanics and Engineering, 401(B) (2022)
115650,
arXiv:2205.13350 [math.NA]
D. Boffi, S. Gong, J. Guzmán, and M. Neilan, Convergence of
Lagrange finite element methods for Maxwell eigenvalue problem in 3D.
IMA Journal of Numerical Analysis, 44 (2024), no. 4, 1911-1945.
arXiv:2204.10876 [math.NA]
F. Bertrand, D. Boffi, and A. Halim, A reduced order model for the
finite element approximation of eigenvalue problems. Computer Methods in
Applied Mechanics and Engineering, 404 (2023) 115696
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A. Cioncolini and D. Boffi, Superconvergence of the MINI mixed
finite element discretization of the Stokes problem: An experimental study in
3D. Finite Elements in Analysis & Design, 201 (2022) 103706
arXiv:2110.14462 [math.NA]
L. Alzaben, F. Bertrand, and D. Boffi, On the spectrum of the finite
element approximation of a three field formulation for linear elasticity.
Examples and Counterexamples, 2 (2022), 100076.
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L. Alzaben, F. Bertrand, and D. Boffi, On the spectrum of an operator
associated with least-squares finite elements for linear elasticity. Comput.
Methods Appl. Math., 22(3) (2022), 511-528.
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D. Boffi and L. Gastaldi. Existence, uniqueness, and approximation
of a fictitious domain formulation for fluid-structure interactions.
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur., 33(1) (2022), 109-137
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D. Boffi, F. Gardini, and L. Gastaldi. Virtual element approximation
of eigenvalue problems. In The Virtual Element Method and its
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F. Bertrand, D. Boffi, and H. Schneider. Discontinuous
Petrov-Galerkin approximation of eigenvalue problems. Comput. Methods Appl.
Math., 23(1) (2023), 1-17.
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D. Boffi and L. Gastaldi. On the existence and the uniqueness of the
solution to a fluid-structure interaction problem. Journal of Differential
Equations, 279 (2021), 136-161.
arXiv:2006.10536 [math.AP]
F. Bertrand, D. Boffi, and G. de Diego. Convergence analysis of the
scaled boundary finite element method for the Laplace equation. Advances in
Computational Mathematics, 47(34) (2021).
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D. Boffi, J. Guzmán, and M. Neilan. Convergence of Lagrange finite
elements for the Maxwell Eigenvalue Problem in two dimensons. IMA Journal of
Numerical Analysis, 2022, drab104,
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F. Bertrand, D. Boffi, and R. Ma. An adaptive finite element scheme
for the Hellinger-Reissner elasticity mixed eigenvalue problem. Comput.
Methods Appl. Math., 21(3) (2021), 501-512.
arXiv:2003.08062 [math.NA]
F. Bertrand and D. Boffi. Least-squares formulations for eigenvalue
problems associated with linear elasticity.
Computers and Mathematics with Applications, 95 (2021), 19-27.
arXiv:2003.00449 [math.NA]
F. Bertrand and D. Boffi. First order least-squares formulations for
eigenvalue problems. IMA Journal of Numerical Analysis, 42(2) (2022)
1339–1363.
arXiv:2002.08145 [math.NA]
D. Boffi, F. Gardini, and L. Gastaldi. Approximation of PDE
eigenvalue problems involving parameter dependent matrices. Calcolo,
57(41) (2020), 1-21
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F. Bertrand and D. Boffi. The Prager-Synge theorem in reconstruction
based a posteriori error estimation. Contemporary Mathematics, 754
(2020), 45-67, "75 Years of Mathematics of Computation", Susanne C. Brenner,
Igor Shparlinski, Chi-Wang Shu, Daniel B. Szyld, eds.,
arXiv:1907.00440 [math.NA]
D. Boffi, L. Gastaldi, and S. Wolf. Higher-order time-stepping
schemes for fluid-structure interaction problems. Discrete & Continuous
Dynamical Systems - B, 25(10) (2020), 3807-3830,
arXiv:1907.00406 [math.NA]
F. Bertrand and D. Boffi. A counterexample for the inf-sup stability
of the $RT_0-P_1\subset L^2\times H^1_0$ finite element combination for the
mixed Poisson equation. PAMM - Proc. Appl. Math. Mech., Vol. 19(1), 2019
F. Bertrand, D. Boffi, and R. Stenberg. A posteriori error analysis
for the mixed Laplace eigenvalue problem: investigations for the BDM-element.
PAMM - Proc. Appl. Math. Mech., Vol. 19(1), 2019
D. Boffi, Z. Lu, and L.F. Pavarino. Iterative ILU preconditioners
for linear systems and eigenproblems. Journal of Computational
Mathematics, 39 (2021), 633-654
F. Bertrand, D. Boffi, and R. Stenberg. Asymptotically exact a
posteriori error analysis for the mixed Laplace eigenvalue problem.
Comput. Methods Appl. Math., 20(2) (2020), 215-225
arXiv:1812.11203 [math.NA]
A. Cioncolini and D. Boffi. The MINI mixed finite element for the
Stokes problem: An experimental investigation. Computers and Mathematics
with Applications, 77(9) (2019), 2432-2446
arXiv:1812.10444 [math.NA]
D. Boffi and L. Gastaldi. Adaptive finite element method for the
Maxwell eigenvalue problem. SIAM Journal on Numerical Analysis, 57(1)
(2019), 478-494
arXiv:1804.02377 [math.NA]
D. Boffi, L. Gastaldi, and L. Heltai. A distributed Lagrange
formulation of the Finite Element Immersed Boundary Method for fluids
interacting with compressible solids. In 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.
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D. Boffi, L. Gastaldi, R. Rodríguez, and I.
Šebestová. A Posteriori error estimates for Maxwell's
eigenvalue problem. Journal of Scientific Computing, 78(2) (2019),
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D. Boffi, F. Hecht, and O. Pironneau. Distributed Lagrange
multiplier for fluid-structure interactions.
In Numerical Methods for PDEs. Lectures from the fall 2016 thematic quarter
at Istitut Henri Poincaré, D. Di Pietro, A. Ern, L. Formaggia eds.,
(2018) SEMA SIMAI Springer Series, 15, pp. 129-145
D. Boffi and R. Stenberg. A remark on finite element schemes for
nearly incompressible elasticity. Computers and Mathematics
with Applications, 74 (2017), 2047-2055.
D. Boffi and D.A. Di Pietro. Unified formulation and analysis of mixed
and primal discontinuous skeletal methods on polytopal meshes.
ESAIM Math. Model. Numer. Anal., 52(1) (2018), 1-28.
arXiv:1609.04601 [math.NA]
Önder Türk, D. Boffi, and R. Codina. A stabilized finite
element method for the two-field and three-field Stokes eigenvalue problems.
Computer Methods in Applied Mechanics and Engineering, 310 (2016),
886-905.
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[math.NA]
D. Boffi, L. Gastaldi, R. Rodríguez, and I.
Šebestová. Residual-based a posteriori error estimation for
the Maxwell's eigenvalue problem. IMA Journal of Numerical Analysis,
37(4) (2017), 1710-1732.
arXiv:1602.00675 [math.NA]
D. Boffi and L. Gastaldi. A fictitious domain approach with
distributed Lagrange multiplier for fluid-structure interactions.
Numerische Mathematik, 135(3) (2017) 711-732.
arXiv:1510.06856 [math.NA]
D. Boffi, M. Botti, and D.A. Di Pietro. A nonconforming high-order
method for the Biot problem on general meshes. SIAM Journal on
Scientific Computing, 38(3) (2016) A1508-A1537.
arXiv:1506.03722 [math.NA]
D. Boffi, D. Gallistl, F. Gardini, and L. Gastaldi. Optimal
convergence of adaptive FEM for eigenvalue clusters in mixed form.
Mathematics of Computation, 86(307) (2017) 2213-2237.
arXiv:1504.06418 [math.NA]
D. Boffi and L. Gastaldi. Discrete models for fluid-structure
interactions: the Finite Element Immersed Boundary Method.
Discrete and Continuous Dynamical Systems - Series S, 9(1) (2016), pp.
89-107
D. Boffi, N. Cavallini, and L. Gastaldi. The Finite Element Immersed
Boundary Method with Distributed Lagrange multiplier. SIAM
Journal on Numerical Analysis, 53(6), (2015), 2584-2604.
arXiv:1407.5184 [math.NA]
D. Boffi, R.G. Durán, F. Gardini, and L. Gastaldi. A
posteriori error analysis for nonconforming approximation of multiple
eigenvalues. Mathematical Methods in the Applied Sciences, 40 (2017),
350-369.
arXiv:1404.5560 [math.NA]
D. Boffi, N. Cavallini, and L. Gastaldi. Advances in the
mathematical theory of the finite element immersed boundary method. In:
Progress in Industrial Mathematics at ECMI 2014. Mathematics in Industry
22 (2016), G. Russo, V. Capasso, G. Nicosia, V. Romano (Eds). Springer, 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. Applied Numerical Mathematics, 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.
D. Boffi, N. Cavallini, F. Gardini, L. Gastaldi. Mass preserving
distributed Lagrange multiplier approach to immersed boundary method. In:
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Science and Engineering V. S. Idelsohn, M. Papadrakakis, and B. Schrefler
(Eds). Cimne, pp. 323-334.
D.N. Arnold, D. Boffi, and F. Bonizzoni. Finite element differential
forms on curvilinear cubic meshes and their approximation properties.
Numer. Math., 129 (2015), pp. 1-20.
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D. Boffi, N. Cavallini, F. Gardini, and L. Gastaldi. Stabilized
Stokes elements and local mass conservation. Bollettino
U.M.I., (9) V (2012) pp. 543-573.
D. Boffi and L. Gastaldi. Some remarks on finite element
approximation of multiple eigenvalues. Applied Numerical Mathematics, 79
(2014) pp. 18-28.
D. Boffi, A. Buffa, and L. Gastaldi. Convergence analysis for hyperbolic
evolution problems in mixed form. Numerical Linear Algebra with
Applications, 20(4) (2013) pp. 541-556.
D. Boffi. The immersed boundary method for fluid-structure interactions:
mathematical formulation and numerical approximation. Bollettino
U.M.I., (9) V (2012) pp. 711-724.
D. Boffi, N. Cavallini, F. Gardini, and L. Gastaldi. Local mass
conservation of Stokes finite elements. J. Sci. Comput., 52 (2012),
383-400.
D. Boffi, F. Gardini, and 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), pp. 1-77.
D. Boffi, N. Cavallini, F. Gardini, and L. Gastaldi. Immersed boundary
method: performance analysis of popular finite element spaces. In COUPLED
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Engineering IV. M. Papadrakakis, E. Onate, and B. Schrefler (Eds). Cimne,
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D. Boffi, N. Cavallini, and L. Gastaldi. Finite element approach to
immersed boundary method with different fluid and solid densities.
Mathematical Models and Methods in Applied Sciences, 21(12) 2011, pp.
2523-2550.
D. Boffi. Finite element approximation of eigenvalue problems.
Acta Numerica, 19 (2010) 1-120.
D. Boffi. Discrete differential forms, approximation of eigenvalue
problems, and application to the p version of edge finite elements. In
Numerical Mathematics and Advanced Applications 2009, Kreiss, G.;
Lötstedt, P.; Målqvist, A.; Neytcheva, M. (Eds.), Springer Verlag,
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D. Boffi, M. Costabel, M. Dauge, L. Demkowicz, and R. Hiptmair. Discrete
compactness for the p-version of discrete differential forms.
SIAM Journal on Numerical Analysis, 49(1) (2011) 135-158.
D. Boffi and L. Gastaldi. Some remarks on quadrilateral mixed finite
elements. Computers & Structures, 87 (2009) 751-757.
D. Boffi, F. Brezzi, and M. Fortin. Reduced symmetry elements in linear
elasticity. Communications on Pure and Applied Analysis, 8(1) (2009)
95-121.
D. Boffi, F. Brezzi, and M. Fortin. Finite elements for the Stokes
problem. In Mixed finite elements, compatibility conditions, and
applications. Lectures given at the C.I.M.E. Summer School held in Cetraro,
Italy, June 26-July 1, 2006. Lecture Notes in Mathematics. Springer Verlag.
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D. Boffi, F. Brezzi, L.F. Demkowicz, R.G. Duran, R.S. Falk, and M.
Fortin Mixed finite elements, compatibility conditions, and applications.
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D. Boffi, L. Gastaldi, L. Heltai, and C.S. Peskin. On
the hyper-elastic formulation of the immersed boundary method.
Computer Methods in Applied Mechanics and Engineering, 197 (2008)
2210-2231.
D. Boffi, L. Gastaldi, and L. Heltai.
On the CFL condition for the finite element immersed boundary method.
Computers & Structures, 85 (2007), pp. 775-783.
D. Boffi, L. Gastaldi, and L. Heltai.
Stability results and algorithmic strategies for the finite element approach to
the immersed boundary method. In Numerical mathematics and advanced
applications, Springer, Berlin, pp. 575-582, 2006.
D. Boffi, L. Gastaldi, and L. Heltai.
Numerical stability of the finite element immersed boundary method.
Mathematical Models and Methods in Applied Sciences, 10(17) (2007),
pp. 1479-1505.
D. Boffi.
Approximation of eigenvalues in mixed form, discrete compactness
property, and application to hp mixed finite elements. Computer
Methods in Applied Mechanics and Engineering, 196 (2007), pp. 3672-3681.
D. Boffi, L. Gastaldi, and 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.
Compatible discretizations for eigenvalue problems. In Compatible Spatial
Discretizations, Vol. 142 of The IMA Volumes in Mathematics and its
Applications, Springer, Berlin, 2006, pp. 121-142.
D. Boffi and 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, and A. Buffa.
Convergence analysis for hyperbolic evolution problems in mixed form.
I.M.A.T.I.-C.N.R., 17-PV (2005), 1-21.
D. Boffi.
On the finite element method on quadrilateral meshes. Applied Numerical
Mathematics, 56 (2006), 1271-1282.
D. Boffi, L. Gastaldi, and 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.
D. Boffi, L. Gastaldi, and 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.
D. Boffi, M. Costabel, M. Dauge, and L. Demkowicz.
Discrete compactness for the $hp$ version of rectangular edge finite elements.
SIAM Journal on Numerical Analysis, Vol. 44, No. 3, pp. 979-1004, 2006.
D. Boffi, F. Kikuchi, and J. Schöberl.
Edge element computation of Maxwell's eigenvalues on general quadrilateral
meshes. Mathematical Models and Methods in Applied Sciences, 16(2),
2006, pp. 265-273.
D. Boffi, M. Conforti, and L. Gastaldi.
Modified edge finite elements for photonic crystals. Numerische
Mathematik, 105 (2006), pp. 249-266.
D. Boffi and L. Gastaldi.
Stability and Geometric Conservation Laws for ALE formulations.
Comp. Meth. Appl. Mech. Eng., 193 (2004), pp. 4717-4739.
D. Boffi and L. Gastaldi.
The immersed boundary method: a finite element approach. In Computational fluid
and solid mechanics 2003, Second MIT Conference on Computational Fluid and
Solid Mechanics, June 17-20, 2003, K.J. Bathe editor, pp. 1263-1266.
D. Boffi.
On the time harmonic Maxwell equations. In Proceedings of the JEE'02
Symposium, Bas Michielsen and Francine Decavèle Eds., p. 25-28.
D. Boffi and L. Gastaldi.
Analysis of the finite element approximation of evolution problems in mixed
form. SIAM Journal on Numerical Analysis, 42 (2004), pp. 1502-1526.
D.N. Arnold, D. Boffi, and R.S. Falk.
Remarks on quadrilateral Reissner-Mindlin plate elements. WCCM V, Fifth
World Congress on Computational Mechanics. Eds. H.A. Mang, F.G.
Rammerstorfer, J. Eberhardsteiner (2002).
D.N. Arnold, D. Boffi, and R.S. Falk.
Quadrilateral H(div) finite elements. SIAM Journal on Numerical
Analysis, 42 (2005), pp. 2429-2451.
D. Boffi, L. Demkowicz, and M. Costabel.
Discrete compactness for p and hp 2D edge finite elements.
Math. Models Methods Appl. Sci., 13 (2003), pp. 1673-1687.
D. Boffi, L. Gastaldi, and G. Naldi.
Application of Maxwell equations. In proceedings of SIMAI 2002.
D. Boffi and L. Gastaldi.
A finite element approach for the immersed boundary method. Computer &
Structures., 81 (2003), pp.491-501.
D. Boffi and L. Gastaldi.
On the time harmonic Maxwell equations in general domains. In Numerical
Mathematics and Advanced Applications, Enumath 2001, Brezzi et al. eds.,
Springer Verlag Italia 2003, 243-253.
D. Boffi.
Finite elements for the time harmonic Maxwell's equations. In Computational
Electromagnetics, Carstensen et al, eds., Lecture Notes in Computational
Science and Engineering, 28. Springer Verlag 2003, 11-22.
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Edge finite elements for the approximation of Maxwell resolvent operator.
M2AN, 36(2), 2002, pp. 293-305.
D. Boffi and L. Gastaldi.
Eigenmodes computation on quadrilateral meshes. Comput. Visual Sci., 4
(2001), 87-92.
D.N. Arnold, D. Boffi, R.S. Falk, and L. Gastaldi.
Finite element approximation on quadrilateral meshes.
Communications in Numerical Methods in Engineering, 17 (2001), 805-812.
D. Boffi and L. Gastaldi.
On the Q2-P1 Stokes element. In Proceedings of the 14th Nordic Seminar on
Computational Mechanics, Lund, 19-20 October, 2001, Beldie et al. eds.,
91-93.
D. Boffi and L. Gastaldi.
On the quadrilateral Q2-P1 element for the Stokes problem.
Int. J. Numer. Meth. Fluids, 39 (2002), 1001-1011.
D. Boffi and L. Gastaldi.
On the "-grad div+s curl rot" operator.
In Computational fluid and solid mechanics, First MIT
Conference on Computational Fluid and Solid Mechanics, June 12-15, 2001, K.J.
Bathe editor, pp. 1526-1529.
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Remarks on quadrilateral finite elements for a fluid-structure eigenproblem.
European Congress on Computational Methods in Applied Sciences and
Engineering. ECCOMAS 2000.
D.N. Arnold, D. Boffi, and R.S. Falk.
Approximation by quadrilateral finite elements.
Math. Comp. 71 (2002), pp. 909-922.
D. Boffi and L. Gastaldi.
Finite element approximation of Maxwell's eigenproblem.
Proc. of Enumath99, Jyväskylä, Finland, July 26-30, 1999, ed.
by P. Neittaanmäki, T. Tiihonen and P. Tarvainen, World Scientific,
Singapore,2000. pp. 502-509.
D. Boffi, C. Chinosi, and L. Gastaldi.
Approximation of grad-div operator in non-convex domains.
CMES, Comp. Model. Eng. Sci., 1 (2000), 27-38.
D. Boffi.
A note on the de Rham complex and a discrete compactness property.
Appl. Math. Letters, 14 (2001) 33-38.
D. Boffi.
Fortin operator and discrete compactness for edge elements. Numer. Math.,
87 (2000) 2, 229-246.
D. Boffi, C. Chinosi, and L. Gastaldi.
Penalized approximation of the vibration frequencies of a fluid in a cavity.
Comput. Visual Sci., 3 (2000) 19-23.
D. Boffi, M. Farina, and L. Gastaldi.
On the approximation of Maxwell's eigenproblem in general 2D domains.
Computers & Structures, Vol. 79, pp. 1089-1096, (2001).
D. Boffi and G. Cornetti.
A mixed finite element projection method for the
incompressible Navier-Stokes equations.
Pubblicazione IAN-CNR 1092/98.
D. Boffi, R.G. Duran, and L. Gastaldi.
A remark on spurious eigenvalues in a square.
Appl. Math. Letters, Vol. 12, 107-114 (1999).
D. Boffi, F. Brezzi, and L. Gastaldi.
Mixed finite elements for Maxwell's eigenproblem: the question of spurious
modes. In ENUMATH 97, 2nd European Conference on Numerical Mathematics
and Advanced Applications, Heidelberg, Germany, September 28 to October
3, 1997. (H.G Bock, F. Brezzi, R. Glowinski, G. Kanschat, Y.A. Kuznetov,
J. Periaux, R. Rannacher Eds.), World Scientific (1998), 180-187.
D. Boffi, F. Brezzi, and L. Gastaldi.
On the convergence of eigenvalues for mixed formulations. Annali Sc.
Norm. Sup. Pisa Cl. Sci., Vol. 25, 131-154 (1997).
D. Boffi, F. Brezzi, and L. Gastaldi.
On the problem of spurious eigenvalues in the approximation of linear elliptic
problems in mixed form. Math. Comp., 69 (2000), no. 229, pp. 121-140.
D. Boffi, P. Fernandes, L. Gastaldi, and I. Perugia.
Computational models of electromagnetic resonators: analysis of edge element
approximation. SIAM Journal on Numerical Analysis, Vol. 36, 1264-1290
(1999).
D. Boffi, P. Fernandes, L. Gastaldi, and 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.
E. Alessandrini, D, Boffi, and A. Torelli.
On a new weak formulation for an
obstacle vortex free boundary problem. Istituto Lombardo (Rend. Sc.),
A 130, 1996, pp. 237-253.
D. Boffi and C. Lovadina.
Remarks on augmented Lagrangian formulations for mixed
finite element schemes. Bollettino U.M.I., Vol. 11-A, 1997, pp.
41-55.
E. Alessandrini, D, Boffi, and A. Torelli.
Study of an obstacle vortex free boundary
value problem. Bollettino U.M.I. Vol. 11-A, 1997, pp. 747-757.
D. Boffi and C. Lovadina.
Analysis of new augmented Lagrangian formulations for
mixed finite element schemes. Numer. Math., 75, 1997, pp. 405-419.
D. Boffi.
Three-dimensional finite element methods for the Stokes problem. SIAM
Journal on Numerical Analysis, Vol. 34, 664-670, 1997.
D. Boffi.
Minimal stabilizations of the $P_{k+1}-P_k$ approximation of the stationary
Stokes equations. Mathematical Models and Methods in Applied Sciences,
2(5) 1995, pp. 213-224.
D. Boffi and D. Funaro.
An alternative approach to the analysis and the approximation of the
Navier-Stokes equations.
Journal of Scientific Computing, Vol. 9 No. 1, 1994, pp. 1-16.
D. Boffi.
Stability of Higher Order Triangular Hood-Taylor Methods for Stationary
Stokes Equations. Mathematical Models and Methods in Applied Sciences,
2(4) 1994, pp. 223-235.
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