Edit Profile (opens in new tab) Brezzi, Franco Co-Author Distance Author ID: brezzi.franco Published as: Brezzi, F.; Brezzi, Franco Homepage: http://www.imati.cnr.it/brezzi/ External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 210 Publications since 1970, including 4 Books and 2 Additional arXiv Preprints 11 Contributions as Editor Co-Authors: 114 Co-Authors with 181 Joint Publications 5,962 Co-Co-Authors all top 5 Co-Authors 36 single-authored 79 Marini, Luisa Donatella 29 Russo, Alessandro 21 Bellomo, Nicola 19 Beirão da Veiga, Lourenço 13 Fortin, Michel 12 Pietra, Paola 10 Bathe, Klaus-Jürgen 9 Arnold, Douglas Norman 8 Raviart, Pierre-Arnaud 7 Douglas, Jim jun. 7 Hughes, Thomas J. R. 6 Boffi, Daniele 6 Lipnikov, Konstantin N. 6 Süli, Endre E. 5 Buffa, Annalisa 5 Dassi, Franco 5 Franca, Leopoldo Luis Cabo Penna 5 Gastaldi, Lucia 5 Manzini, Gianmarco 5 Rappaz, Jacques 4 Baiocchi, Claudio 4 Markowich, Peter Alexander 4 Sangalli, Giancarlo 3 Cockburn, Bernardo 3 Falk, Richard S. 3 Shashkov, Mikhail J. 2 Antonietti, Paola Francesca 2 Auricchio, Ferdinando 2 Ayuso de Dios, Blanca 2 Berestycki, Henri 2 Bertoluzza, Silvia 2 Cangiani, Andrea 2 Canuto, Claudio 2 Chaplain, Mark A. J. 2 Hager, William W. 2 Iosilevich, Alexander 2 Johnson, Claes G. L. 2 Lions, Jacques-Louis 2 Nadal, Jean-Pierre 2 Pironneau, Olivier 2 Quarteroni, Alfio M. 2 Simoncini, Valeria 2 Soler, Juan S. 1 Ahmad, Bashir 1 Allouche, Jean-Paul Simon 1 Al-saedi, Ahmed Eid Salem 1 Barrenechea, Gabriel R. 1 Bernardi, Marco Luigi 1 Blouza, Adel 1 Bock, Hans Georg 1 Bristeau, Marie-Odile 1 Caffarelli, Luis Ángel 1 Capelo, A. C. S. 1 Capelo, Antonio Candido 1 Chinosi, Claudia 1 Cho, Seong Wook 1 Colli Franzone, Piero 1 Comincioli, Valeriano 1 Corsaro, Stefania 1 Dales, Harold Garth 1 Della Croce, Lucia 1 Descloux, Jean 1 Douglas, Craig C. 1 Durán, Ricardo G. 1 Evans, John A. 1 Fialowski, Alice 1 Gasser, Ingenuin 1 Gatteschi, Luigi 1 Gentili, Graziano 1 Georgoulis, Emmanuil H. 1 Gerard, Patrick 1 Gianazza, Ugo Pietro 1 Glowinski, Roland 1 Gologan, Radu-Nicolae 1 Greuel, Gert-Martin 1 Halpern, Laurence 1 Hauke, Guillermo 1 Havle, Oto 1 Hendriana, Dena 1 Houston, Paul 1 Huggett, Stephen A. 1 Jacob, Christine 1 Jensen, Arne 1 Johnson, Charles Royal 1 Kanschat, Guido 1 Krichever, Igor’ Moiseevich 1 Kuznetsov, Yurii Alekseevich 1 Lefieux, Adrien 1 Lovadina, Carlo 1 Mallet, Michel 1 Masud, Arif 1 Mehrmann, Volker 1 Monegato, Giovanni 1 Murli, Almerico 1 Nédélec, Jean-Claude 1 Périaux, Jacques F. 1 Pisanski, Tomaž 1 Pitkäranta, Juhani 1 Pulvirenti, Mario 1 Quirós Gracián, Adolfo ...and 15 more Co-Authors all top 5 Serials 32 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 21 Computer Methods in Applied Mechanics and Engineering 14 Numerische Mathematik 7 Calcolo 7 SIAM Journal on Numerical Analysis 5 Mathematics of Computation 3 International Journal for Numerical Methods in Engineering 3 Numerical Methods for Partial Differential Equations 3 Journal of Scientific Computing 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Matemática Aplicada e Computacional 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Transport Theory and Statistical Physics 2 RAIRO. Analyse Numérique 2 Rendiconti del Seminario Matematico 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 European Mathematical Society Newsletter 2 Bollettino della Unione Matematica Italiana. Series IV 2 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A 2 Springer Series in Computational Mathematics 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Computers and Fluids 1 Computers and Structures 1 International Journal for Numerical Methods in Fluids 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 Journal of Computational and Applied Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Chinese Annals of Mathematics. Series B 1 Japan Journal of Applied Mathematics 1 Computational Mechanics 1 Applied Mathematics Letters 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Communications on Pure and Applied Analysis 1 Acta Numerica 1 GAMM-Mitteilungen 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Computational Science and Engineering 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Bulletin of Mathematical Sciences 1 Springer INdAM Series 1 SMAI Journal of Computational Mathematics all top 5 Fields 155 Numerical analysis (65-XX) 103 Partial differential equations (35-XX) 53 Mechanics of deformable solids (74-XX) 41 Fluid mechanics (76-XX) 19 Optics, electromagnetic theory (78-XX) 14 General and overarching topics; collections (00-XX) 12 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 History and biography (01-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 181 Publications have been cited 16,199 times in 8,918 Documents Cited by ▼ Year ▼ Mixed and hybrid finite element methods. Zbl 0788.73002 Brezzi, Franco; Fortin, Michel 3,169 1991 Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080 Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,389 2002 On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. Zbl 0338.90047 Brezzi, F. 1,065 1974 Mixed finite element methods and applications. Zbl 1277.65092 Boffi, Daniele; Brezzi, Franco; Fortin, Michel 939 2013 Basic principles of virtual element methods. Zbl 1416.65433 Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 680 2013 Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072 Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 572 1985 A stable finite element for the Stokes equations. Zbl 0593.76039 Arnold, D. N.; Brezzi, F.; Fortin, M. 461 1984 Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078 Arnold, D. N.; Brezzi, F. 369 1985 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336 Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 345 2014 Equivalent projectors for virtual element methods. Zbl 1347.65172 Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 312 2013 Virtual elements for linear elasticity problems. Zbl 1268.74010 Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 283 2013 Virtual element methods for plate bending problems. Zbl 1297.74049 Brezzi, Franco; Marini, L. Donatella 213 2013 PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074 Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun. 200 1984 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 199 2016 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 190 2005 Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021 Brezzi, F.; Rappaz, J.; Raviart, P. A. 187 1980 A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Zbl 0756.76044 Brezzi, Franco; Bristeau, Marie-Odile; Franca, Leopoldo P.; Mallet, Michel; Rogé, Gilbert 181 1992 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099 Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 179 2005 Basic principles of mixed virtual element methods. Zbl 1299.76130 Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 174 2014 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128 Brezzi, Franco; Russo, Alessandro 173 1994 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099 Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 170 2000 \(b=\int g\). Zbl 0904.76041 Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 163 1997 Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033 Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P. 163 1993 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107 Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 158 1987 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065 Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 143 1987 On the stabilization of finite element approximations of the Stokes equations. Zbl 0552.76002 Brezzi, F.; Pitkäranta, J 141 1984 Stabilized mixed methods for the Stokes problem. Zbl 0669.76052 Brezzi, Franco; Douglas, Jim jun. 139 1988 Mimetic finite differences for elliptic problems. Zbl 1177.65164 Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin 124 2009 Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030 Brezzi, Franco; Hager, William W.; Raviart, P. A. 124 1977 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134 Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 123 2016 A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067 Brezzi, F.; Fortin, M. 118 2001 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 116 2016 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053 Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 97 1991 Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238 Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel 93 1989 On drilling degrees of freedom. Zbl 0691.73015 Hughes, Thomas J. R.; Brezzi, F. 86 1989 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117 Brezzi, F.; Marini, L. D.; Süli, E. 83 2004 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 80 2007 Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088 Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 77 1989 A discourse on the stability conditions for mixed finite element formulations. Zbl 0736.73062 Brezzi, Franco; Bathe, Klaus-Jürgen 77 1990 Reduced symmetry elements in linear elasticity. Zbl 1154.74041 Boffi, Daniele; Brezzi, Franco; Fortin, Michel 74 2009 Stability of higher-order Hood-Taylor methods. Zbl 0731.76042 Brezzi, Franco; Falk, Richard S. 74 1991 Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127 Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella 73 2000 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 70 2006 Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058 Brezzi, F.; Fortin, M. 70 1986 On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. Zbl 0938.65126 Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 69 2000 Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126 Brezzi, F.; Franca, L. P.; Russo, A. 65 1998 Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102 Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E. 64 2006 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031 Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 64 2005 The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080 Brezzi, Franco; Markowich, Peter A. 60 1991 Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085 Brezzi, F.; Raviart, P. A. 60 1977 Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036 Brezzi, F.; Rappaz, J.; Raviart, P. A. 59 1981 Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077 Brezzi, Franco; Hager, William W.; Raviart, P. A. 56 1978 Serendipity nodal VEM spaces. Zbl 1390.76292 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 55 2016 A priori error analysis of residual-free bubbles for advection-diffusion problems. Zbl 0947.65115 Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Russo, A.; Süli, Endre 54 1999 Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037 Brezzi, F.; Rappaz, J.; Raviart, P. A. 53 1981 Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113 Brezzi, F.; Marini, D.; Russo, A. 52 1998 Numerical simulation of semiconductor devices. Zbl 0698.76125 Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 50 1989 On the coupling of boundary integral and finite element methods. Zbl 0423.65056 Brezzi, F.; Johnson, Claes 50 1979 On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052 Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 44 1997 The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041 Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A. 43 2011 A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068 Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella 41 2005 Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109 Brezzi, F.; Marini, D.; Süli, E. 39 2000 On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Zbl 0589.73068 Bathe, K. J.; Brezzi, F. 39 1985 A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201 Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. 38 2018 Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104 Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G. 37 2003 Mixed finite element methods with continuous stresses. Zbl 0774.73066 Brezzi, Franco; Fortin, Michel; Marini, L. Donatella 35 1993 A three-field domain decomposition method. Zbl 0801.65116 Brezzi, F.; Marini, L. D. 35 1994 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181 Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 34 2018 The MITC7 and MITC9 plate bending elements. Zbl 0705.73241 Bathe, Klaus-Jürgen; Brezzi, Franco; Cho, Seong Wook 32 1989 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017 Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 31 2017 On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390 Brezzi, F.; Marini, L. D.; Russo, A. 30 2005 Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396 Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella 29 2007 Locking-free finite element methods for shells. Zbl 0854.65095 Arnold, Douglas N.; Brezzi, Franco 28 1997 Mimetic scalar products of discrete differential forms. Zbl 1352.65417 Brezzi, F.; Buffa, A.; Manzini, G. 26 2014 Virtual element implementation for general elliptic equations. Zbl 1357.65253 Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 26 2016 Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214 Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro 24 2018 Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058 Arnold, Douglas N.; Brezzi, Franco 24 1993 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 24 2020 Analysis of a Chimera method. Zbl 0988.65117 Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier 23 2001 Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024 Brezzi, F.; Marini, L. D. 23 2002 Serendipity face and edge VEM spaces. Zbl 1395.65139 Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 23 2017 Discretization of semiconductor device problems. I. Zbl 1179.82150 Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S. 22 2005 Finite element approximations of the von Kármán equations. Zbl 0398.73070 Brezzi, F. 22 1978 Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056 Brezzi, Franco; Buffa, Annalisa 21 2010 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042 Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 21 2000 Finite elements for the Stokes problem. Zbl 1182.76895 Boffi, Daniele; Brezzi, Franco; Fortin, Michel 21 2008 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051 Brezzi, F.; Fortin, M.; Marini, L. D. 20 2006 A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024 Brezzi, Franco; Canuto, Claudio; Russo, Alessandro 20 1989 Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118 Brezzi, Franco; Marini, Donatella 20 2001 Stabilization techniques and subgrid scales capturing. Zbl 0881.65100 Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 20 1997 Virtual element and discontinuous Galerkin methods. Zbl 1282.65150 Brezzi, F.; Marini, L. D. 20 2014 On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048 Brezzi, F.; Marini, L. D. 19 1975 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071 Brezzi, F.; Douglas, J. jun.; Marini, L. D. 18 1986 Mathematics and complexity in life and human sciences. Zbl 1218.92001 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 18 2010 Interacting with the subgrid world. Zbl 0952.65092 Brezzi, F. 17 2000 A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128 Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil 17 2014 Traffic, crowds, and swarms. Zbl 1171.90361 Bellomo, N.; Brezzi, F. 17 2008 Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension. Zbl 0829.35127 Brezzi, F.; Gasser, I.; Markowich, P. A.; Schmeiser, C. 16 1995 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110 Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 15 2009 The three-field formulation for elasticity problems. Zbl 1156.74042 Brezzi, Franco; Marini, Luisa Donatella 15 2005 The virtual element method. Zbl 07736655 Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro 1 2023 Finite elements and virtual elements on classical meshes. Zbl 1477.65196 Brezzi, Franco; Marini, Luisa Donatella 7 2021 Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems. Zbl 1484.00091 5 2021 Recent results and perspectives for virtual element methods. Zbl 1478.65112 Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D. 3 2021 Collective dynamics in science and society. Zbl 1485.35357 Bellomo, N.; Brezzi, F. 1 2021 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 24 2020 Active particles methods and challenges in behavioral systems. Zbl 1454.35392 Bellomo, N.; Brezzi, F.; Soler, J. 4 2020 Recent results and challenges in behavioral systems. Zbl 07291075 1 2020 A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201 Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. 38 2018 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181 Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 34 2018 Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214 Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro 24 2018 Challenges in active particles methods: theory and applications. Zbl 1411.35149 Bellomo, N.; Brezzi, F. 9 2018 Virtual element approximations of the vector potential formulation of magnetostatic problems. Zbl 1416.78024 Da Veiga, Lourenço Beirão; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro 1 2018 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017 Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 31 2017 Serendipity face and edge VEM spaces. Zbl 1395.65139 Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 23 2017 Modeling behavioral social systems. Zbl 1355.00017 13 2017 Mathematical models of self-propelled particles. Zbl 1370.82034 Bellomo, N.; Brezzi, F. 5 2017 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 199 2016 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134 Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 123 2016 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 116 2016 Serendipity nodal VEM spaces. Zbl 1390.76292 Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 55 2016 Virtual element implementation for general elliptic equations. Zbl 1357.65253 Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 26 2016 Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024 Bellomo, N.; Brezzi, F. 10 2016 Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Zbl 1361.65002 6 2016 Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110 Bellomo, Nicola; Brezzi, Franco 5 2015 An “immersed” finite element method based on a locally anisotropic remeshing for the incompressible Stokes problem. Zbl 1423.76203 Auricchio, F.; Brezzi, F.; Lefieux, A.; Reali, A. 1 2015 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336 Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 345 2014 Basic principles of mixed virtual element methods. Zbl 1299.76130 Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 174 2014 Mimetic scalar products of discrete differential forms. Zbl 1352.65417 Brezzi, F.; Buffa, A.; Manzini, G. 26 2014 Virtual element and discontinuous Galerkin methods. Zbl 1282.65150 Brezzi, F.; Marini, L. D. 20 2014 A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128 Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil 17 2014 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317 Bellomo, N.; Brezzi, F.; Manzini, G. 12 2014 The great beauty of VEMs. Zbl 1422.65372 Brezzi, Franco 6 2014 Complex systems: new challenges with modeling headaches. Zbl 1280.00033 Bellomo, N.; Brezzi, Franco 3 2014 A quick tutorial on DG methods for elliptic problems. Zbl 1282.65149 Brezzi, F.; Marini, L. D. 1 2014 Mixed finite element methods and applications. Zbl 1277.65092 Boffi, Daniele; Brezzi, Franco; Fortin, Michel 939 2013 Basic principles of virtual element methods. Zbl 1416.65433 Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 680 2013 Equivalent projectors for virtual element methods. Zbl 1347.65172 Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 312 2013 Virtual elements for linear elasticity problems. Zbl 1268.74010 Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 283 2013 Virtual element methods for plate bending problems. Zbl 1297.74049 Brezzi, Franco; Marini, L. Donatella 213 2013 Mathematics and complexity of multi-particle systems. Zbl 1242.92003 Bellomo, N.; Brezzi, F. 8 2012 \(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095 Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella 7 2012 The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041 Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A. 43 2011 Mathematics and complexity in biological sciences. Zbl 1328.00110 Bellomo, N.; Brezzi, F. 7 2011 The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case. Zbl 1307.74063 Bathe, Klaus-Jürgen; Brezzi, Franco; Marini, L. Donatella 6 2011 New rectangular plate elements based on twist-Kirchhoff theory. Zbl 1230.74170 Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D. 5 2011 Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056 Brezzi, Franco; Buffa, Annalisa 21 2010 Mathematics and complexity in life and human sciences. Zbl 1218.92001 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 18 2010 Mimetic finite differences for elliptic problems. Zbl 1177.65164 Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin 124 2009 Reduced symmetry elements in linear elasticity. Zbl 1154.74041 Boffi, Daniele; Brezzi, Franco; Fortin, Michel 74 2009 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110 Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 15 2009 Mathematics and complexity in human and life sciences. Zbl 1175.00022 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 9 2009 Finite elements for the Stokes problem. Zbl 1182.76895 Boffi, Daniele; Brezzi, Franco; Fortin, Michel 21 2008 Traffic, crowds, and swarms. Zbl 1171.90361 Bellomo, N.; Brezzi, F. 17 2008 Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141 Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 6 2008 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 80 2007 Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396 Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella 29 2007 The method of mothers for non-overlapping non-matching DDM. Zbl 1130.65117 Bertoluzza, S.; Brezzi, F.; Sangalli, G. 3 2007 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 70 2006 Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102 Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E. 64 2006 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051 Brezzi, F.; Fortin, M.; Marini, L. D. 20 2006 Stability and error analysis of mixed finite-volume methods for advection dominated problems. Zbl 1136.65097 Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R. 12 2006 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102 Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 190 2005 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099 Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 179 2005 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031 Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 64 2005 A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068 Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella 41 2005 On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390 Brezzi, F.; Marini, L. D.; Russo, A. 30 2005 Discretization of semiconductor device problems. I. Zbl 1179.82150 Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S. 22 2005 The three-field formulation for elasticity problems. Zbl 1156.74042 Brezzi, Franco; Marini, Luisa Donatella 15 2005 Non-matching grids and Lagrange multipliers. Zbl 1066.65139 Bertoluzza, S.; Brezzi, F.; Marini, L. D.; Sangalli, G. 1 2005 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117 Brezzi, F.; Marini, L. D.; Süli, E. 83 2004 Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104 Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G. 37 2003 Stability of saddle-points in finite dimensions. Zbl 1027.15004 Brezzi, Franco 2 2003 Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080 Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,389 2002 Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024 Brezzi, F.; Marini, L. D. 23 2002 Subgrid phenomena and numerical schemes. Zbl 1016.76044 Brezzi, Franco; Marini, Donatella 5 2002 Recent results in the treatment of subgrid scales. Zbl 1056.65111 Brezzi, Franco 1 2002 A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067 Brezzi, F.; Fortin, M. 118 2001 Analysis of a Chimera method. Zbl 0988.65117 Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier 23 2001 Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118 Brezzi, Franco; Marini, Donatella 20 2001 Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem. Zbl 1221.65304 Brezzi, Franco; Hughes, Thomas J. R.; Süli, Endre 3 2001 Stability of finite element mixed interpolations for contact problems. Zbl 1097.74054 Brezzi, Franco; Bathe, Klaus Jürgen 3 2001 Implementation of the stabilized three-field formulation. Zbl 1018.65129 Brezzi, Franco; Marini, L. Donatella 1 2001 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099 Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 170 2000 Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127 Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella 73 2000 On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. Zbl 0938.65126 Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 69 2000 Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109 Brezzi, F.; Marini, D.; Süli, E. 39 2000 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042 Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 21 2000 Interacting with the subgrid world. Zbl 0952.65092 Brezzi, F. 17 2000 Inf-sup testing of upwind methods. Zbl 0963.76044 Bathe, Klaus-Jürgen; Hendriana, Dena; Brezzi, Franco; Sangalli, Giancarlo 11 2000 Stabilization techniques for the finite element method. Zbl 0991.65106 Brezzi, F.; Russo, A. 3 2000 A priori error analysis of residual-free bubbles for advection-diffusion problems. Zbl 0947.65115 Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Russo, A.; Süli, Endre 54 1999 On the classification of linearly elastic shells. (Sur la classification des coques linéairement élastiques.) Zbl 0943.74036 Blouza, Adel; Brezzi, Franco; Lovadina, Carlo 9 1999 Numerical inf-sup analysis of MITC plate bending elements. Zbl 0958.74066 Iosilevich, Alexander; Bathe, Klaus-Jürgen; Brezzi, Franco 4 1999 Special issue on Mathematical models for the growth, development and treatment of tumours. Zbl 0929.00034 2 1999 Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126 Brezzi, F.; Franca, L. P.; Russo, A. 65 1998 Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113 Brezzi, F.; Marini, D.; Russo, A. 52 1998 Mixed finite elements for Maxwell’s eigenproblem: The question of spurious modes. Zbl 0992.78509 Boffi, D.; Brezzi, F.; Gastaldi, L. 6 1998 \(b=\int g\). Zbl 0904.76041 Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 163 1997 On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052 Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 44 1997 ...and 81 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,078 Authors 129 Gatica, Gabriel N. 93 Brezzi, Franco 85 Beirão da Veiga, Lourenço 70 Cockburn, Bernardo 63 Carstensen, Carsten 62 Antonietti, Paola Francesca 60 He, Yinnian 60 Manzini, Gianmarco 57 Chen, Zhangxin 56 Ruiz-Baier, Ricardo 55 Ye, Xiu 54 Codina, Ramon 53 Di Pietro, Daniele Antonio 52 Hughes, Thomas J. 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