Franco BREZZI
Recent Works
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To request any of the papers which are not made available here, please e-mail me.
F. Brezzi, P. Di Barba, L.D. Marini, I. Perugia, A. Savini: A novel field-based mixed formulation of magnetostatics, IEEE Trans. on Magn., 32 (1996), 635-638.
F. Brezzi, L.P. Franca, T.J.R. Hughes, A. Russo:
, Comput. Methods Appl. Mech.
Engrg., 145 (1997), 329-339.
F. Brezzi: Towards shell elements avoiding locking in the general case, in SHELLS Mathematical modelling and scientific computing, M. Bernadou, P.G. Ciarlet and J.M. Viano Eds., Universidade de Santiago de Compostela 1997, 45-49
D.N. Arnold, F. Brezzi: Locking free finite elements for shells, Math. of Comp., 66 (1997), 1-14.
A. Iosilevich, K.J. Bathe, F. Brezzi: On
evaluating the Inf-Sup condition for plate bending elements Int. J. Num.
Meth. in
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)
F. Brezzi, P. Gérard, E. Sanchez-Palencia:Remarks on ellipticity and regularity for non-inhibited shells and other constrained systems. C. R. Acad. Sci Paris, t. 326, I, (1998) 1155-1162.
F. Brezzi, L.P. Franca, A. Russo: Further considerations on residual free bubbles for advective-diffusive equations. Comput. Methods Appl. Mech. Engrg., 166 (1998) 25-33.
F. Brezzi, L.D. Marini, A. Russo: Applications of Pseudo Residual-Free Bubbles to the Stabilization of Convection-Diffusion Problems Comput. Methods Appl. Mech. Engrg., 166 (1998) 51-63. (paper)
F. Brezzi, L.D. Marini, A. Russo: Pseudo residual-free bubbles and stabilized methods, in: Computational Methods in Applied Sciences 96, J.A. Désidéri et al Eds., Wiley 1996, 3-8. (paper)
F. Brezzi, L.P. Franca, T.J.R. Hughes, A. Russo: Stabilization techniques and subgrid scale capturing, in: The State of the Art in Numerical Analysis, I.S. Duff and G.A. Watson Eds.l 1996, IMA Conference Series 63, Oxford University Press 1997, 391-406.
F. Brezzi, L.P. Franca, L.D. Marini, A. Russo: Stabilization Techniques for Domain Decomposition Methods with non-Matching Grids, in: Domain Decomposition Methods in Sciences and Engineering , P.E. Bjřrstad, M.S. Espedal and D.E. Keyes Eds. Domain Decomposition Press, Bergen, 1998, 1--11 (paper)
D. Boffi, F. Brezzi, L. Gastaldi: On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form Math. of Comp., 69 (2000), 121-140 . (paper)
D. Boffi, F. Brezzi, L. Gastaldi: Mixed finite
elements for Maxwell's eigenproblem: the question of spurious modes. ENUMATH
97, 2nd European Conference on Numerical Mathematics and Advanced
Applications,
F.Brezzi, M. Manzini, D. Marini, P. Pietra, A. Russo: Discontinuous finite elements for diffusion problems. in Francesco Brioschi (1824-1897) Convegno di Studi Matematici, October 22-23, 1997 Ist. Lomb. Acc. Sc. Lett., Incontro di studio N. 16, 1999, 197-217. (paper)
F. Brezzi, T.J.R. Hughes, D. Marini, A. Russo, E. Süli: A priori error analysis of a finite element method with residual-free bubbles for advection dominated equations S.I.A.M. J. Num. Anal.,36 (1999), 1933-1948. (paper)
A. Blouza, F. Brezzi, C. Lovadina: Sur la classification des coques linéairement élastiques C. R. Acad. Sci Paris, t. 328, I, (1999) 831-836.
F. Brezzi: Interacting with the Subgrid World, in Numerical analysis 1999 , D.F. Griffiths and G.A. Watson Eds. Chapman & Hall/CRC (2000) 69-82 (paper)
F. Brezzi, A. Russo: Stabilization Techniques for the Finite Element Method, in Applied and Industrial Mathematics, Venice-2, 1998, R. Spigler Ed., Kluwer (2000) 47-58.
F. Brezzi, D. Marini, E. Süli: Residual-free bubbles for advection-diffusion problems: the general error analysis. Numer. Math., 85 (2000), 31-47. (paper)
F. Brezzi, M. Manzini, D. Marini, P. Pietra, A. Russo: Discontinuous Galerkin approximations for elliptic problems. Numer. Methods Partial Differential Eq. ., 16 (2000), 365-278. (paper)
K.J. Bathe, D. Hendriana, F. Brezzi, G. Sangalli: Inf-Sup testing of upwind methods Int. J. Numer. Meth. in Engng., 48 (2000), 745-760.
D.N. Arnold, F. Brezzi, B. Cockburn, D. Marini: Discontinuous Galerkin Methods for Elliptic Problems. In Discontinuous Galerkin Methods B. Cockburn, G.E. Karniadakis and C.-W. Shu Eds, Lecture Notes in Computational Science and Engineering, 11, Springer, 2000, 89-101. (paper)
F. Brezzi, D. Marini, P. Houston, E. Süli: Modeling subgrid viscosity for advection-diffusion problems Comput. Methods Appl. Mech. Engrg., 190 (2000), 1601-1610. (paper)
F. Brezzi, L.D. Marini: Implementation of the stabilized three-field formulation, in Recent trends in Numerical Analysis D.Trigiante Ed., Nova Science, 2000. (paper)
F. Brezzi, D. Marini: Error estimates for the three-field formulation with bubble stabilization Math. of Comp., 70 (2000), 911-934 (paper)
F. Brezzi, J.L. Lions, O. Pironneau: Analysis of a Chimera method C. R. Acad. Sci, Paris , 332 , { I} (2001), 655-660. (paper)
F. Brezzi: Subgrid scales, augmented problems, and stabilizations. In Computational Fluid and Solid Mechanics , K.J. Bathe Ed., Elsevier (2001) 8-10. (paper)
F. Brezzi, M. Fortin: A minimal stabilisation procedure for mixed finite element methods Numer. Math., 89 (2001), 457-492 (paper)
K.J. Bathe, F. Brezzi: Stability of finite element mixed interpolation for contact problems Rend. Mat. Acc. Lincei s. 9, 12 (2001), 159-166. (paper)
F. Brezzi, T.J.R. Hughes, E. Süli: Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem Rend. Mat. Acc. Lincei s. 9, 12 (2001), 167-183. (paper)
F. Brezzi, L.D. Marini: Subgrid phenomena and numerical schemes, in Mathematical Modeling and Numerical Simulation in Continuum Mechanics, I. Babuska, P.G. Ciarlet, T. Miyoshi, Eds., Springer Lect. Notes in Comput. Sci. Eng ., 19 (2002), 73-90 (paper)
D.N. Arnold, F. Brezzi, B. Cockburn, L.D. Marini: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems SIAM J. Num. Anal, 39 (2002), 1749-1779 (paper)
F. Brezzi: Recent results in the treatment of subgrid scales Canum 2000, Actes du 32čme Congrčs d'Analyse Numérique, A. Blouza, I. Danaila, P. Joly, S.M. Kaber, B. Lucquin, F. Murat & M. Postel, Éditeurs ESAIM: Proceedings, Vol. 11 ( 2002), 61-84 (paper)
F. Brezzi, L.D. Marini: Augmented spaces, two-level methods, and stabilising subgrids Int. J. Numer. Meth. Fluids, 40 (2002), 31-46. (paper)
F. Brezzi, L.D. Marini: A nonconforming element for the Reissner--Mindlin plate, Computers & Structures , 81 , (2003), 515-522 (paper)
F. Brezzi, G. Hauke, L.D. Marini, G. Sangalli: Link-Cutting Bubbles for Convection-Diffusion-Reaction Problems, Math. Models Methods Appl. Sci. 13 (2003), 445-461. (paper)
F. Brezzi, J.-L. Lions, O. Pironneau: The Chimera method for a model problem , in Numerical Mathematics and Advanced Applications -ENUMATH 2001 F. Brezzi, A. Buffa, S. Corsaro, A. Murli , Eds., Springer (2003), 817-826 (paper)
F. Brezzi, M. Fortin, L.D. Marini: Piecewise constant pressure for Darcy law in Finite Element Methods: 1970 and Beyond (L.P. Franca, Ed.) CIMNE, Barcelona, (2004) (paper)
F.Auricchio, F. Brezzi, C. Lovadina Mixed Finite Element Methods Encyclopedia of Computational Mechanics (Wiley), Vol.1 Chapter 9 (2004) (paper)
L. Beirăo da Veiga, F. Brezzi; Reissner-Mindlin plates with free boundary conditions, Atti dei Convegni Lincei, 210 (2004), 43-54. (paper)
F. Brezzi, L.D. Marini, E. Süli: Discontinuous Galerkin methods for first-order hyperbolic problems, Math. Models Methods Appl. Sci. 14 (2004), 1893-1903. (paper)
S. Bertoluzza, F. Brezzi, L.D. Marini, G. Sangalli: Nonmatching Grids and Lagrange Multipliers, in Selected papers of the 15th International Conference on Domain Decomposition Methods, Berlin, 2003 F. Kornhuber, Ralf (Ed.) et al., Springer Lecture Notes in Computational Science and Engineering 40 (2005), 3-18 (paper)
F. Brezzi, L.D. Marini, A. Russo: On the choice of a Stabilizing Subgrid for Convection-Diffusion Problems Comput. Methods Appl. Mech. Engrg. 194 (2-5), (2005), 127--148. (paper)
D.N. Arnold, F. Brezzi, L.D. Marini: A Family of Discontinuous Galerkin Finite Elements for the Reissner-Mindlin plate Journal of Scientific Computing 22 , (2005), 25-45 (paper)
F. Brezzi, T.J.R. Hughes, L.D. Marini, A. Masud: Mixed Discontinuous Galerkin methods for Darcy flow Journal of Scientific Computing 22, (2005), 119-145 (paper)
F. Brezzi, L.D. Marini, S. Micheletti, P. Pietra, R. Sacco, S. Wang: Finite elements and finite volumes discretizations of Drift-Diffusion type fluid models for semiconductors, in Handbook of Numerical Analysis, Vol. XIII ( Numerical Methods for Electrodynamic Problems , W.H.A. Schilders, E.J.W. Maten, eds), Elsevier Science (2005) (paper)
F. Brezzi, K. Lipnikov, V. Simoncini: A family of mimetic finite difference methods on polygonal and polyhedral meshes, Math. Models Methods Appl. Sci. 15 (2005), 1533-1553 (paper)
F. Brezzi, K. Lipnikov, M. Shashkov: Convergence of Mimetic Finite Difference Methods for Diffusion Problems on Polyhedral Meshes, SIAM J. Num. Anal , 43 (2005), 1872-1896 (paper)
F. Brezzi, L.D. Marini: The three-field formulation for elasticity problems, GAMM Mitteilungen, 28(2005), 124-153 (paper)
F. Brezzi, K. Lipnikov, M. Shashkov: New Discretization Methodology for Diffusion Problems on Polyhedral Meshes Los Alamos Report/ Mathematical Modeling and Analysis (2005) (paper)
F. Brezzi, M. Fortin, L.D. Marini : Error analysis of piecewise constant approximations of Darcy's law, Comput. Methods Appl. Mech. Engrg. 195, (2006), 1547-1599 (paper)
F. Brezzi, K. Lipnikov, M. Shashkov: Convergence of Mimetic Finite Difference Methods for Diffusion Problems on Polyhedral Meshes with curved faces, Math. Models Methods Appl. Sci. 16, (2006), 275-298 (paper)
F. Brezzi, B. Cockburn, L.D. Marini, E. Süli : Stabilization mechanisms in Discontinuous Galerkin finite element methods, Comput. Methods Appl. Mech. Engrg. 195, (2006), 3293-3310 (paper)
F. Brezzi, L.D. Marini, S. Micheletti, P. Pietra, R. Sacco: Stability and error Analysis of Mixed Finite Volume Methods for Advection Dominated problems,Computers & Mathematics with Applications 51, (2006), 681-696. (paper)
F. Brezzi, L.D. Marini: Bubble stabilization of discontinuous Galerkin methods, in Advances in numerical mathematics Proceedings of International Conference on the occasion of the 60th birthday of Y.A. Kuznetsov, September 16-17, 2005 (W. Fitzgibbon, R. Hoppe, J Periaux, O. Pironneau, Y. Vassilevski, Eds) Institute of Numerical Mathematics of the Russian Academy of Sciences, Mocow 2006, 25-36 (paper)
F. Brezzi, K. Lipnikov, M. Shashkov, V. Simoncini: A new discretization methodology for Diffusion Problems on generalized polyhedral meshes, Comput. Methods Appl. Mech. Engrg. 196, (2007), 3682-3692 (paper)
D.N. Arnold, F. Brezzi, R.S. Falk, L.D. Marini: Locking-Free Reissner-Mindlin elements without reduced integration, Comput. Methods Appl. Mech. Engrg. 196, (2007), 3660-3671 (paper)
S. Bertoluzza, F. Brezzi, G. Sangalli: The method of mothers for non-overlapping non-matching DDM, Numerische Mathematik 107, (2007), 397-431 (paper)
P. Antonietti, F. Brezzi, L.D. Marini: Stabilization of the Baumann-Oden DG formulation: the 3D case, Bollettino dell'Unione Matematica Italiana 1, (2008), 629-643 (paper)
D. Boffi, F. Brezzi, M. Fortin: Finite Elements for the Stokes problem, Lecture Notes in Mathematics 1939, (2008), 45-100 (paper)
N. Bellomo, F. Brezzi: Traffic, crowds, and swarms, Math. Models Methods Appl. Sci. 18 (2008), 1145-1148 (paper)
D. Boffi, F. Brezzi, M. Fortin: Reduced Symmetry Elements in Linear Elasticity, Commun. Pur. Appl. Anal. 8, (2009), 95-121 (paper)
F. Brezzi, A. Buffa, K. Lipnikov: Mimetic finite differences for elliptic problems, ESAIM: Mathematical Modeling and Numerical Analysis 43, (2009), 277-295 (paper)
P. Antonietti, F. Brezzi, L.D. Marini: Bubble Stabilization of Discontinuous Galerkin Methods, Comput. Methods Appl. Mech. Engrg. 198, (2009), 1651-1659 (paper)
N. Bellomo, H. Berestycki, F. Brezzi, J.-P. Nadal: Mathematics and complexity in life and humen sciences, Math. Models Methods Appl. Sci. 19 (2009), 1385-1389 (paper)
N. Bellomo, H. Berestycki, F. Brezzi, J.-P. Nadal: Mathematics and complexity in life and human sciences, Math. Models Methods Appl. Sci. 20 (2010), 1391-1395 (paper)
F. Brezzi, A. Buffa: Innovative mimetic discretizations for electromagnetic problems, J. Comput. Appl. Math. 234 (2010), 1980-1987 (paper)
N. Bellomo, H. Berestycki, F. Brezzi, J.-P. Nadal: Mathematics and complexity in life and humen sciences, Math. Models Methods Appl. Sci. 20 (2010), 1391-1395 (paper)
K. Lipnikov, G. Manzini, F. Brezzi, A. Buffa: The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes Journal of Computational Physics 230 (2011), 305-328 (paper)
K.-J. Bathe, F. Brezzi, L.D. Marini: The MITC9 shell element in plate bending: mathematical analysis of a simplified case, Comput. Mech. 47, (2011), 617–626 (paper)
N. Bellomo, F. Brezzi: Mathematics and complexity in biological sciences, Math. Models Methods Appl. Sci. 20 (2011), 819-824
F.Brezzi, J.A. Evans, T.J.R. Hughes, L.D. Marini: New rectangular plate elements based on twist-Kirchhoff theory Comput. Methods Appl. Mech. Engrg. 200, (2011), 2547-2561 (paper)
P. Ceresa, F. Brezzi, G. M. Calvi, R. Pinho: Analytical modelling of a large-scale dynamic testing facility Earthquake Engineering and Structural Dynamics DOI: 10.1002/eqe.1128 (paper)