D. Boffi, A. Buffa, and L. Gastaldi. Convergence analysis for hyperbolic
evolution problems in mixed form. Submitted
D. Boffi. The immersed boundary method for fluid-structure interactions:
mathematical formulation and numerical approximation. Submitted
D. Boffi, N. Cavallini, F. Gardini, and L. Gastaldi. Local mass
conservation of Stokes finite elements. To appear in Journal of Scientific
Computing
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
PROBLEMS 2011. Computational Methods for Coupled Problems in Science and
Engineering IV. M. Papadrakakis, E. Onate and B. Schrefler (Eds). Cimne.
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,
(2010) 3-14.
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.
Vol. 1939 (2008), pp. 45-100. D. Boffi, L. Gastaldi editors.
D. Boffi, F. Brezzi, L.F. Demkowicz, R.G. Duran, R.S. Falk, and M.
Fortin 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. Vol. 1939 (2008).
D. Boffi, L. Gastaldi editors.
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.
D. Boffi and L. Gastaldi.
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.
D. Boffi and 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.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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