Edit Profile Brezzi, Franco Compute Distance To: Compute 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: 212 Publications since 1970, including 10 Books all top 5 Co-Authors 36 single-authored 74 Marini, Luisa Donatella 26 Russo, Alessandro 16 Bellomo, Nicola 15 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 Franca, Leopoldo Luis Cabo Penna 5 Gastaldi, Lucia 5 Manzini, Gianmarco 5 Rappaz, Jacques 4 Baiocchi, Claudio 4 Dassi, Franco 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 Hager, William W. 2 Iosilevich, Alexander 2 Johnson, Claes G. L. 2 Lefieux, Adrien 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, H. 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 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 1 Rannacher, Rolf ...and 15 more Co-Authors all top 5 Serials 27 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 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 Springer INdAM Series 1 SMAI Journal of Computational Mathematics all top 5 Fields 152 Numerical analysis (65-XX) 100 Partial differential equations (35-XX) 53 Mechanics of deformable solids (74-XX) 41 Fluid mechanics (76-XX) 19 Optics, electromagnetic theory (78-XX) 12 General and overarching topics; collections (00-XX) 10 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 History and biography (01-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-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 173 Publications have been cited 12,325 times in 7,055 Documents Cited by ▼ Year ▼ Mixed and hybrid finite element methods. Zbl 0788.73002Brezzi, Franco; Fortin, Michel 2,723 1991 Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,079 2002 On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. Zbl 0338.90047Brezzi, F. 902 1974 Mixed finite element methods and applications. Zbl 1277.65092Boffi, Daniele; Brezzi, Franco; Fortin, Michel 511 2013 Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 455 1985 A stable finite element for the Stokes equations. Zbl 0593.76039Arnold, D. N.; Brezzi, F.; Fortin, M. 369 1984 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 358 2013 Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078Arnold, D. N.; Brezzi, F. 302 1985 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 170 2014 PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun. 168 1984 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 164 2013 Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021Brezzi, F.; Rappaz, J.; Raviart, P. A. 163 1980 A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Zbl 0756.76044Brezzi, Franco; Bristeau, Marie-Odile; Franca, Leopoldo P.; Mallet, Michel; Rogé, Gilbert 161 1992 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 159 2005 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128Brezzi, Franco; Russo, Alessandro 158 1994 Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P. 152 1993 Equivalent projectors for virtual element methods. Zbl 1347.65172Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 144 2013 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 139 2000 \(b=\int g\). Zbl 0904.76041Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 138 1997 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 137 2005 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 134 1987 Virtual element methods for plate bending problems. Zbl 1297.74049Brezzi, Franco; Marini, L. Donatella 128 2013 Stabilized mixed methods for the Stokes problem. Zbl 0669.76052Brezzi, Franco; Douglas, Jim jun. 127 1988 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 125 1987 Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030Brezzi, Franco; Hager, William W.; Raviart, P. A. 108 1977 Basic principles of mixed virtual element methods. Zbl 1299.76130Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 95 2014 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 92 1991 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 90 2016 Mimetic finite differences for elliptic problems. Zbl 1177.65164Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin 89 2009 A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067Brezzi, F.; Fortin, M. 88 2001 Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel 87 1989 On drilling degrees of freedom. Zbl 0691.73015Hughes, Thomas J. R.; Brezzi, F. 83 1989 On the stabilization of finite element approximations of the Stokes equations. Zbl 0552.76002Brezzi, F.; Pitkäranta, J 71 1984 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 71 2007 Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 66 1989 A discourse on the stability conditions for mixed finite element formulations. Zbl 0736.73062Brezzi, Franco; Bathe, Klaus-Jürgen 65 1990 Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058Brezzi, F.; Fortin, M. 65 1986 Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella 64 2000 Stability of higher-order Hood-Taylor methods. Zbl 0731.76042Brezzi, Franco; Falk, Richard S. 63 1991 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 63 2016 Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126Brezzi, F.; Franca, L. P.; Russo, A. 57 1998 Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E. 57 2006 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117Brezzi, F.; Marini, L. D.; Süli, E. 55 2004 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 55 2005 Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036Brezzi, F.; Rappaz, J.; Raviart, P. A. 54 1981 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 54 2006 On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. Zbl 0938.65126Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 53 2000 Reduced symmetry elements in linear elasticity. Zbl 1154.74041Boffi, Daniele; Brezzi, Franco; Fortin, Michel 53 2009 Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085Brezzi, F.; Raviart, P. A. 52 1977 The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080Brezzi, Franco; Markowich, Peter A. 51 1991 Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077Brezzi, Franco; Hager, William W.; Raviart, P. A. 49 1978 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 48 2016 Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037Brezzi, F.; Rappaz, J.; Raviart, P. A. 46 1981 Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113Brezzi, F.; Marini, D.; Russo, A. 45 1998 A priori error analysis of residual-free bubbles for advection-diffusion problems. Zbl 0947.65115Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Russo, A.; Süli, Endre 45 1999 Numerical simulation of semiconductor devices. Zbl 0698.76125Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 41 1989 On the coupling of boundary integral and finite element methods. Zbl 0423.65056Brezzi, F.; Johnson, Claes 41 1979 On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Zbl 0589.73068Bathe, K. J.; Brezzi, F. 37 1985 Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109Brezzi, F.; Marini, D.; Süli, E. 37 2000 On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 36 1997 Mixed finite element methods with continuous stresses. Zbl 0774.73066Brezzi, Franco; Fortin, Michel; Marini, L. Donatella 35 1993 Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G. 34 2003 A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella 32 2005 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 32 2016 A three-field domain decomposition method. Zbl 0801.65116Brezzi, F.; Marini, L. D. 31 1994 The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A. 30 2011 The MITC7 and MITC9 plate bending elements. Zbl 0705.73241Bathe, Klaus-Jürgen; Brezzi, Franco; Cho, Seong Wook 29 1989 On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390Brezzi, F.; Marini, L. D.; Russo, A. 28 2005 Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella 26 2007 Locking-free finite element methods for shells. Zbl 0854.65095Arnold, Douglas N.; Brezzi, Franco 25 1997 Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058Arnold, Douglas N.; Brezzi, Franco 22 1993 Stabilization techniques and subgrid scales capturing. Zbl 0881.65100Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 20 1997 Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118Brezzi, Franco; Marini, Donatella 20 2001 Analysis of a Chimera method. Zbl 0988.65117Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier 20 2001 Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024Brezzi, F.; Marini, L. D. 20 2002 Mimetic scalar products of discrete differential forms. Zbl 1352.65417Brezzi, F.; Buffa, A.; Manzini, G. 19 2014 A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024Brezzi, Franco; Canuto, Claudio; Russo, Alessandro 18 1989 On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048Brezzi, F.; Marini, L. D. 18 1975 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 17 2000 Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056Brezzi, Franco; Buffa, Annalisa 17 2010 Mathematics and complexity in life and human sciences. Zbl 1218.92001Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 16 2010 Interacting with the subgrid world. Zbl 0952.65092Brezzi, F. 15 2000 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051Brezzi, F.; Fortin, M.; Marini, L. D. 15 2006 Traffic, crowds, and swarms. Zbl 1171.90361Bellomo, N.; Brezzi, F. 15 2008 Stabilization of unstable numerical methods. Zbl 0792.35010Baiocchi, Claudio; Brezzi, Franco 14 1993 Finite element approximations of the von Kármán equations. Zbl 0398.73070Brezzi, F. 14 1978 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071Brezzi, F.; Douglas, J. jun.; Marini, L. D. 13 1986 Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension. Zbl 0829.35127Brezzi, F.; Gasser, I.; Markowich, P. A.; Schmeiser, C. 13 1995 Discretization of semiconductor device problems. I. Zbl 1179.82150Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S. 13 2005 Finite elements for the Stokes problem. Zbl 1182.76895Boffi, Daniele; Brezzi, Franco; Fortin, Michel 13 2008 Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073Brezzi, F.; Douglas, Jim jun.; Marini, L. D. 12 1985 A finite element approximation of a variational inequality related to hydraulics. Zbl 0353.76068Brezzi, F.; Sacchi, G. 12 1976 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 12 2009 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 12 2017 A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil 12 2014 On evaluating the inf-sup condition for plate bending elements. Zbl 0901.73074Iosilevich, Alexander; Bathe, Klaus-Jürgen; Brezzi, Franco 11 1997 The three-field formulation for elasticity problems. Zbl 1156.74042Brezzi, Franco; Marini, Luisa Donatella 11 2005 Virtual element and discontinuous Galerkin methods. Zbl 1282.65150Brezzi, F.; Marini, L. D. 11 2014 Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro 11 2018 Optimal error estimates for linear parabolic problems under minimal regularity assumptions. Zbl 0538.65077Baiocchi, C.; Brezzi, F. 10 1983 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 2 2020 Active particles methods and challenges in behavioral systems. Zbl 1454.35392Bellomo, N.; Brezzi, F.; Soler, J. 1 2020 Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro 11 2018 A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. 9 2018 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 8 2018 Challenges in active particles methods: theory and applications. Zbl 1411.35149Bellomo, N.; Brezzi, F. 6 2018 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 12 2017 Modeling behavioral social systems. Zbl 1355.00017Bellomo, N.; Brezzi, F.; Pulvirenti, M. 10 2017 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 6 2017 Mathematical models of self-propelled particles. Zbl 1370.82034Bellomo, N.; Brezzi, F. 3 2017 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 90 2016 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 63 2016 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 48 2016 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 32 2016 Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024Bellomo, N.; Brezzi, F. 10 2016 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 7 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 1361.65002Barrenechea, Gabriel R.; Brezzi, Franco; Cangiani, Andrea; Georgoulis, Emmanuil H. 3 2016 Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110Bellomo, Nicola; Brezzi, Franco 4 2015 An “immersed” finite element method based on a locally anisotropic remeshing for the incompressible Stokes problem. Zbl 1423.76203Auricchio, F.; Brezzi, F.; Lefieux, A.; Reali, A. 1 2015 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 170 2014 Basic principles of mixed virtual element methods. Zbl 1299.76130Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 95 2014 Mimetic scalar products of discrete differential forms. Zbl 1352.65417Brezzi, F.; Buffa, A.; Manzini, G. 19 2014 A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil 12 2014 Virtual element and discontinuous Galerkin methods. Zbl 1282.65150Brezzi, F.; Marini, L. D. 11 2014 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317Bellomo, N.; Brezzi, F.; Manzini, G. 6 2014 The great beauty of VEMs. Zbl 1422.65372Brezzi, Franco 3 2014 Complex systems: new challenges with modeling headaches. Zbl 1280.00033Bellomo, N.; Brezzi, Franco 3 2014 A quick tutorial on DG methods for elliptic problems. Zbl 1282.65149Brezzi, F.; Marini, L. D. 1 2014 Mixed finite element methods and applications. Zbl 1277.65092Boffi, Daniele; Brezzi, Franco; Fortin, Michel 511 2013 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 358 2013 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 164 2013 Equivalent projectors for virtual element methods. Zbl 1347.65172Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 144 2013 Virtual element methods for plate bending problems. Zbl 1297.74049Brezzi, Franco; Marini, L. Donatella 128 2013 Mathematics and complexity of multi-particle systems. Zbl 1242.92003Bellomo, N.; Brezzi, F. 8 2012 \(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella 5 2012 The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A. 30 2011 Mathematics and complexity in biological sciences. Zbl 1328.00110Bellomo, N.; Brezzi, F. 7 2011 The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case. Zbl 1307.74063Bathe, Klaus-Jürgen; Brezzi, Franco; Marini, L. Donatella 6 2011 New rectangular plate elements based on twist-Kirchhoff theory. Zbl 1230.74170Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D. 5 2011 Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056Brezzi, Franco; Buffa, Annalisa 17 2010 Mathematics and complexity in life and human sciences. Zbl 1218.92001Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 16 2010 Mimetic finite differences for elliptic problems. Zbl 1177.65164Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin 89 2009 Reduced symmetry elements in linear elasticity. Zbl 1154.74041Boffi, Daniele; Brezzi, Franco; Fortin, Michel 53 2009 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 12 2009 Mathematics and complexity in human and life sciences. Zbl 1175.00022Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 9 2009 Traffic, crowds, and swarms. Zbl 1171.90361Bellomo, N.; Brezzi, F. 15 2008 Finite elements for the Stokes problem. Zbl 1182.76895Boffi, Daniele; Brezzi, Franco; Fortin, Michel 13 2008 Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 5 2008 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 71 2007 Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella 26 2007 The method of mothers for non-overlapping non-matching DDM. Zbl 1130.65117Bertoluzza, S.; Brezzi, F.; Sangalli, G. 2 2007 Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E. 57 2006 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 54 2006 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051Brezzi, F.; Fortin, M.; Marini, L. D. 15 2006 Stability and error analysis of mixed finite-volume methods for advection dominated problems. Zbl 1136.65097Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R. 10 2006 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 159 2005 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 137 2005 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 55 2005 A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella 32 2005 On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390Brezzi, F.; Marini, L. D.; Russo, A. 28 2005 Discretization of semiconductor device problems. I. Zbl 1179.82150Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S. 13 2005 The three-field formulation for elasticity problems. Zbl 1156.74042Brezzi, Franco; Marini, Luisa Donatella 11 2005 Non-matching grids and Lagrange multipliers. Zbl 1066.65139Bertoluzza, S.; Brezzi, F.; Marini, L. D.; Sangalli, G. 1 2005 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117Brezzi, F.; Marini, L. D.; Süli, E. 55 2004 Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G. 34 2003 Stability of saddle-points in finite dimensions. Zbl 1027.15004Brezzi, Franco 1 2003 Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,079 2002 Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024Brezzi, F.; Marini, L. D. 20 2002 Subgrid phenomena and numerical schemes. Zbl 1016.76044Brezzi, Franco; Marini, Donatella 5 2002 Recent results in the treatment of subgrid scales. Zbl 1056.65111Brezzi, Franco 1 2002 A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067Brezzi, F.; Fortin, M. 88 2001 Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118Brezzi, Franco; Marini, Donatella 20 2001 Analysis of a Chimera method. Zbl 0988.65117Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier 20 2001 Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem. Zbl 1221.65304Brezzi, Franco; Hughes, Thomas J. R.; Süli, Endre 3 2001 Stability of finite element mixed interpolations for contact problems. Zbl 1097.74054Brezzi, Franco; Bathe, Klaus Jürgen 2 2001 Implementation of the stabilized three-field formulation. Zbl 1018.65129Brezzi, Franco; Marini, L. Donatella 1 2001 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 139 2000 Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella 64 2000 On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. Zbl 0938.65126Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 53 2000 Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109Brezzi, F.; Marini, D.; Süli, E. 37 2000 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 17 2000 Interacting with the subgrid world. Zbl 0952.65092Brezzi, F. 15 2000 Inf-sup testing of upwind methods. Zbl 0963.76044Bathe, Klaus-Jürgen; Hendriana, Dena; Brezzi, Franco; Sangalli, Giancarlo 9 2000 Stabilization techniques for the finite element method. Zbl 0991.65106Brezzi, F.; Russo, A. 1 2000 A priori error analysis of residual-free bubbles for advection-diffusion problems. Zbl 0947.65115Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Russo, A.; Süli, Endre 45 1999 On the classification of linearly elastic shells. (Sur la classification des coques linéairement élastiques.) Zbl 0943.74036Blouza, Adel; Brezzi, Franco; Lovadina, Carlo 9 1999 Numerical inf-sup analysis of MITC plate bending elements. Zbl 0958.74066Iosilevich, Alexander; Bathe, Klaus-Jürgen; Brezzi, Franco 3 1999 Special issue on Mathematical models for the growth, development and treatment of tumours. Zbl 0929.00034Bellomo, N.; Brezzi, F. 2 1999 Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126Brezzi, F.; Franca, L. P.; Russo, A. 57 1998 Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113Brezzi, F.; Marini, D.; Russo, A. 45 1998 Mixed finite elements for Maxwell’s eigenproblem: The question of spurious modes. Zbl 0992.78509Boffi, D.; Brezzi, F.; Gastaldi, L. 6 1998 \(b=\int g\). Zbl 0904.76041Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 138 1997 On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 36 1997 Locking-free finite element methods for shells. Zbl 0854.65095Arnold, Douglas N.; Brezzi, Franco 25 1997 Stabilization techniques and subgrid scales capturing. Zbl 0881.65100Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 20 1997 On evaluating the inf-sup condition for plate bending elements. Zbl 0901.73074Iosilevich, Alexander; Bathe, Klaus-Jürgen; Brezzi, Franco 11 1997 Towards shell elements avoiding locking in the general case. Zbl 1052.74582Brezzi, Franco 2 1997 A monotonic scheme for advection-diffusion problems. Zbl 0870.65101Brezzi, F.; Marini, D.; Pietra, P.; Russo, A. 2 1996 Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension. Zbl 0829.35127Brezzi, F.; Gasser, I.; Markowich, P. A.; Schmeiser, C. 13 1995 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128Brezzi, Franco; Russo, Alessandro 158 1994 ...and 73 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,504 Authors 105 Gatica, Gabriel N. 87 Brezzi, Franco 65 Beirão da Veiga, Lourenço 64 Cockburn, Bernardo 53 Carstensen, Carsten 52 Codina, Ramon 50 Chen, Zhangxin 49 Hughes, Thomas J. R. 48 Marini, Luisa Donatella 44 Ye, Xiu 43 Franca, Leopoldo Luis Cabo Penna 42 He, Yinnian 41 Zhang, Shangyou 40 Antonietti, Paola Francesca 40 Chen, Yanping 40 Di Pietro, Daniele Antonio 40 Russo, Alessandro 38 Wheeler, Mary Fanett 37 Manzini, Gianmarco 37 Meddahi, Salim 37 Quarteroni, Alfio M. 36 Sayas, Francisco-Javier 35 Lovadina, Carlo 35 Stenberg, Rolf 35 Vohralík, Martin 34 Mu, Lin 33 Boffi, Daniele 33 Park, Eun-Jae 33 Ruiz-Baier, Ricardo 32 Oyarzúa, Ricardo 32 Sacco, Riccardo 32 Wang, Junping 32 Wohlmuth, Barbara I. 31 Mora, David 31 Yotov, Ivan 30 Bernardi, Christine 30 Brenner, Susanne Cecelia 30 Masud, Arif 30 Rui, Hongxing 29 Houston, Paul 29 Li, Jian 29 Luo, Zhendong 29 Schötzau, Dominik 28 Ern, Alexandre 28 Gastaldi, Lucia 28 Lipnikov, Konstantin N. 28 Xu, Jinchao 26 Bassi, Francesco 26 Droniou, Jérôme 26 Huang, Yunqing 26 Larson, Mats G. 26 Loula, Abimael Fernando Dourado 26 Xie, Xiaoping 25 Arnold, Douglas Norman 25 Duan, Huoyuan 24 Repin, Sergeĭ Igorevich 24 Winther, Ragnar 23 Bazilevs, Yuri 23 Chung, Tsz Shun Eric 23 Girault, Vivette 23 Hansbo, Peter 23 Nicaise, Serge 23 Perugia, Ilaria 23 Rozza, Gianluigi 23 Schöberl, Joachim 23 Valentin, Frédéric 23 Zikatanov, Ludmil T. 22 Auricchio, Ferdinando 22 Bochev, Pavel B. 22 Chen, Shaochun 22 Farhat, Charbel H. 22 Han, Weimin 22 Rodríguez, Rodolfo 22 Scovazzi, Guglielmo 22 Verani, Marco 21 Badia, Santiago 21 Burman, Erik 21 Feng, Minfu 21 Fortin, Michel 21 Giani, Stefano 21 Gudi, Thirupathi 21 Nataraj, Neela 21 Oñate Ibáñez de Navarra, Eugenio 21 Wriggers, Peter 21 Yang, Suh-Yuh 20 Barrenechea, Gabriel R. 20 Bellomo, Nicola 20 Chen, Jinru 20 Chen, Long 20 Hauke, Guillermo 20 Huang, Xuehai 20 Lamichhane, Bishnu Prasad 20 Marquez-Duran, Antonio M. 20 Pani, Amiya Kumar 20 Rivière, Beatrice M. 19 Arbogast, Todd 19 Bertoluzza, Silvia 19 Buffa, Annalisa 19 Cai, Zhiqiang 19 Canuto, Claudio ...and 6,404 more Authors all top 5 Cited in 305 Serials 1,034 Computer Methods in Applied Mechanics and Engineering 416 Journal of Computational Physics 352 Journal of Computational and Applied Mathematics 331 Journal of Scientific Computing 325 Computers & Mathematics with Applications 317 Numerische Mathematik 260 Mathematics of Computation 239 International Journal for Numerical Methods in Engineering 197 Applied Numerical Mathematics 192 M\(^3\)AS. 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