Edit Profile (opens in new tab) 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: 205 Publications since 1970, including 5 Books 10 Contributions as Editor Co-Authors: 115 Co-Authors with 175 Joint Publications 5,411 Co-Co-Authors all top 5 Co-Authors 36 single-authored 75 Marini, Luisa Donatella 26 Russo, Alessandro 19 Bellomo, Nicola 16 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 Chaplain, Mark A. J. 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 ...and 16 more Co-Authors all top 5 Serials 30 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 153 Numerical analysis (65-XX) 101 Partial differential equations (35-XX) 53 Mechanics of deformable solids (74-XX) 41 Fluid mechanics (76-XX) 19 Optics, electromagnetic theory (78-XX) 13 General and overarching topics; collections (00-XX) 11 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 177 Publications have been cited 13,298 times in 7,534 Documents Cited by ▼ Year ▼ Mixed and hybrid finite element methods. Zbl 0788.73002Brezzi, Franco; Fortin, Michel 2,818 1991 Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,174 2002 On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. Zbl 0338.90047Brezzi, F. 947 1974 Mixed finite element methods and applications. Zbl 1277.65092Boffi, Daniele; Brezzi, Franco; Fortin, Michel 609 2013 Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 480 1985 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 435 2013 A stable finite element for the Stokes equations. Zbl 0593.76039Arnold, D. N.; Brezzi, F.; Fortin, M. 392 1984 Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078Arnold, D. N.; Brezzi, F. 317 1985 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 217 2014 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 193 2013 Equivalent projectors for virtual element methods. Zbl 1347.65172Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 179 2013 PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun. 179 1984 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 169 1992 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 169 2005 Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021Brezzi, F.; Rappaz, J.; Raviart, P. A. 169 1980 Choosing bubbles for advection-diffusion problems. Zbl 0819.65128Brezzi, Franco; Russo, Alessandro 162 1994 Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P. 157 1993 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 153 2000 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 151 2005 Virtual element methods for plate bending problems. Zbl 1297.74049Brezzi, Franco; Marini, L. Donatella 148 2013 \(b=\int g\). Zbl 0904.76041Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 146 1997 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 139 1987 Stabilized mixed methods for the Stokes problem. Zbl 0669.76052Brezzi, Franco; Douglas, Jim jun. 132 1988 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 128 1987 Basic principles of mixed virtual element methods. Zbl 1299.76130Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 125 2014 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. 117 2016 Error estimates for the finite element solution of variational inequalities. Part I. primal theory. Zbl 0369.65030Brezzi, Franco; Hager, William W.; Raviart, P. A. 110 1977 Mimetic finite differences for elliptic problems. Zbl 1177.65164Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin 96 2009 A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067Brezzi, F.; Fortin, M. 95 2001 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 93 1991 Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel 88 1989 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 85 2016 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 79 1984 A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria 72 2007 A discourse on the stability conditions for mixed finite element formulations. Zbl 0736.73062Brezzi, Franco; Bathe, Klaus-Jürgen 70 1990 Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 69 1989 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 67 2016 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117Brezzi, F.; Marini, L. D.; Süli, E. 67 2004 Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella 67 2000 Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058Brezzi, F.; Fortin, M. 65 1986 Stability of higher-order Hood-Taylor methods. Zbl 0731.76042Brezzi, Franco; Falk, Richard S. 64 1991 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 62 2006 Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E. 60 2006 Reduced symmetry elements in linear elasticity. Zbl 1154.74041Boffi, Daniele; Brezzi, Franco; Fortin, Michel 58 2009 Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126Brezzi, F.; Franca, L. P.; Russo, A. 58 1998 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 57 2005 Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036Brezzi, F.; Rappaz, J.; Raviart, P. A. 57 1981 On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. Zbl 0938.65126Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia 56 2000 Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085Brezzi, F.; Raviart, P. A. 53 1977 The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080Brezzi, Franco; Markowich, Peter A. 53 1991 Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037Brezzi, F.; Rappaz, J.; Raviart, P. A. 50 1981 Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077Brezzi, Franco; Hager, William W.; Raviart, P. A. 50 1978 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 49 1999 Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113Brezzi, F.; Marini, D.; Russo, A. 47 1998 Numerical simulation of semiconductor devices. Zbl 0698.76125Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 44 1989 On the coupling of boundary integral and finite element methods. Zbl 0423.65056Brezzi, F.; Johnson, Claes 42 1979 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 39 2016 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 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 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 three-field domain decomposition method. Zbl 0801.65116Brezzi, F.; Marini, L. D. 33 1994 A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella 33 2005 The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A. 32 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 26 1997 Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058Arnold, Douglas N.; Brezzi, Franco 22 1993 Analysis of a Chimera method. Zbl 0988.65117Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier 21 2001 Mimetic scalar products of discrete differential forms. Zbl 1352.65417Brezzi, F.; Buffa, A.; Manzini, G. 20 2014 Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024Brezzi, F.; Marini, L. D. 20 2002 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 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 18 2017 On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048Brezzi, F.; Marini, L. D. 18 1975 A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024Brezzi, Franco; Canuto, Claudio; Russo, Alessandro 18 1989 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051Brezzi, F.; Fortin, M.; Marini, L. D. 18 2006 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 18 2000 Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056Brezzi, Franco; Buffa, Annalisa 17 2010 Finite element approximations of the von Kármán equations. Zbl 0398.73070Brezzi, F. 17 1978 Mathematics and complexity in life and human sciences. Zbl 1218.92001Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 16 2010 Traffic, crowds, and swarms. Zbl 1171.90361Bellomo, N.; Brezzi, F. 16 2008 Interacting with the subgrid world. Zbl 0952.65092Brezzi, F. 16 2000 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. 16 2018 Stabilization of unstable numerical methods. Zbl 0792.35010Baiocchi, Claudio; Brezzi, Franco 15 1993 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 15 2018 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 15 2018 Discretization of semiconductor device problems. I. Zbl 1179.82150Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S. 15 2005 Virtual element and discontinuous Galerkin methods. Zbl 1282.65150Brezzi, F.; Marini, L. D. 14 2014 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 14 2009 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 13 2014 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 13 2016 Finite elements for the Stokes problem. Zbl 1182.76895Boffi, Daniele; Brezzi, Franco; Fortin, Michel 13 2008 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 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071Brezzi, F.; Douglas, J. jun.; Marini, L. D. 13 1986 The three-field formulation for elasticity problems. Zbl 1156.74042Brezzi, Franco; Marini, Luisa Donatella 12 2005 A finite element approximation of a variational inequality related to hydraulics. Zbl 0353.76068Brezzi, F.; Sacchi, G. 12 1976 Finite elements and virtual elements on classical meshes. Zbl 1477.65196Brezzi, Franco; Marini, Luisa Donatella 2 2021 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 5 2020 Active particles methods and challenges in behavioral systems. Zbl 1454.35392Bellomo, N.; Brezzi, F.; Soler, J. 2 2020 Recent results and challenges in behavioral systems. Zbl 07291075 1 2020 A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. 16 2018 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 15 2018 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 15 2018 Challenges in active particles methods: theory and applications. Zbl 1411.35149Bellomo, N.; Brezzi, F. 7 2018 Virtual element approximations of the vector potential formulation of magnetostatic problems. Zbl 1416.78024Da Veiga, Lourenço Beirão; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro 1 2018 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 18 2017 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 11 2017 Modeling behavioral social systems. Zbl 1355.00017 10 2017 Mathematical models of self-propelled particles. Zbl 1370.82034Bellomo, N.; Brezzi, F. 4 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. 117 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 85 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. 67 2016 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 39 2016 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 13 2016 Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024Bellomo, 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 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. 217 2014 Basic principles of mixed virtual element methods. Zbl 1299.76130Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 125 2014 Mimetic scalar products of discrete differential forms. Zbl 1352.65417Brezzi, F.; Buffa, A.; Manzini, G. 20 2014 Virtual element and discontinuous Galerkin methods. Zbl 1282.65150Brezzi, F.; Marini, L. D. 14 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 13 2014 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317Bellomo, N.; Brezzi, F.; Manzini, G. 8 2014 Complex systems: new challenges with modeling headaches. Zbl 1280.00033Bellomo, N.; Brezzi, Franco 3 2014 The great beauty of VEMs. Zbl 1422.65372Brezzi, 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 609 2013 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 435 2013 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 193 2013 Equivalent projectors for virtual element methods. Zbl 1347.65172Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 179 2013 Virtual element methods for plate bending problems. Zbl 1297.74049Brezzi, Franco; Marini, L. Donatella 148 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. 32 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 96 2009 Reduced symmetry elements in linear elasticity. Zbl 1154.74041Boffi, Daniele; Brezzi, Franco; Fortin, Michel 58 2009 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 14 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. 16 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 72 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 Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 62 2006 Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E. 60 2006 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051Brezzi, F.; Fortin, M.; Marini, L. D. 18 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. 11 2006 Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail 169 2005 A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria 151 2005 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 57 2005 A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella 33 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. 15 2005 The three-field formulation for elasticity problems. Zbl 1156.74042Brezzi, Franco; Marini, Luisa Donatella 12 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. 67 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 1,174 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. 95 2001 Analysis of a Chimera method. Zbl 0988.65117Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier 21 2001 Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118Brezzi, Franco; Marini, Donatella 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. 153 2000 Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella 67 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 56 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. 18 2000 Interacting with the subgrid world. Zbl 0952.65092Brezzi, F. 16 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 49 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 0929.00034 2 1999 Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126Brezzi, F.; Franca, L. P.; Russo, A. 58 1998 Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113Brezzi, F.; Marini, D.; Russo, A. 47 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. 146 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 26 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 ...and 77 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,923 Authors 112 Gatica, Gabriel N. 89 Brezzi, Franco 69 Beirão da Veiga, Lourenço 66 Cockburn, Bernardo 58 Carstensen, Carsten 52 Codina, Ramon 51 He, Yinnian 50 Chen, Zhangxin 50 Hughes, Thomas J. R. 49 Marini, Luisa Donatella 49 Ye, Xiu 46 Antonietti, Paola Francesca 45 Zhang, Shangyou 44 Di Pietro, Daniele Antonio 43 Franca, Leopoldo Luis Cabo Penna 43 Manzini, Gianmarco 42 Chen, Yanping 40 Russo, Alessandro 39 Meddahi, Salim 39 Wheeler, Mary Fanett 37 Lovadina, Carlo 37 Quarteroni, Alfio M. 37 Ruiz-Baier, Ricardo 37 Vohralík, Martin 36 Mu, Lin 36 Park, Eun-Jae 36 Sayas, Francisco-Javier 35 Stenberg, Rolf 34 Boffi, Daniele 34 Oyarzúa, Ricardo 34 Wang, Junping 34 Yotov, Ivan 33 Mora, David 33 Xu, Jinchao 32 Sacco, Riccardo 32 Wohlmuth, Barbara I. 31 Brenner, Susanne Cecelia 31 Ern, Alexandre 30 Bernardi, Christine 30 Huang, Yunqing 30 Li, Jian 30 Masud, Arif 30 Rui, Hongxing 29 Droniou, Jérôme 29 Houston, Paul 29 Luo, Zhendong 29 Schötzau, Dominik 28 Gastaldi, Lucia 28 Lipnikov, Konstantin N. 27 Bassi, Francesco 27 Chung, Tsz Shun Eric 27 Han, Weimin 27 Repin, Sergeĭ Igorevich 27 Xie, Xiaoping 26 Duan, Huoyuan 26 Larson, Mats G. 26 Loula, Abimael Fernando Dourado 26 Schöberl, Joachim 26 Wriggers, Peter 25 Arnold, Douglas Norman 25 Nataraj, Neela 25 Rozza, Gianluigi 25 Verani, Marco 24 Burman, Erik 24 Feng, Minfu 24 Hansbo, Peter 24 Perugia, Ilaria 24 Valentin, Frédéric 24 Winther, Ragnar 23 Auricchio, Ferdinando 23 Barrenechea, Gabriel R. 23 Bazilevs, Yuri 23 Bertoluzza, Silvia 23 Chen, Long 23 Chen, Shaochun 23 Girault, Vivette 23 Huang, Jianguo 23 Nicaise, Serge 23 Nochetto, Ricardo Horacio 23 Pani, Amiya Kumar 23 Zikatanov, Ludmil T. 22 Badia, Santiago 22 Bellomo, Nicola 22 Bochev, Pavel B. 22 Farhat, Charbel H. 22 Gudi, Thirupathi 22 Hu, Jun 22 Huang, Xuehai 22 Oñate Ibáñez de Navarra, Eugenio 22 Rodríguez, Rodolfo 22 Scovazzi, Guglielmo 21 Buffa, Annalisa 21 Cai, Zhiqiang 21 Chen, Jinru 21 Fortin, Michel 21 Giani, Stefano 21 Marquez-Duran, Antonio M. 21 Yang, Suh-Yuh 20 Arbogast, Todd 20 Canuto, Claudio ...and 6,823 more Authors all top 5 Cited in 319 Serials 1,091 Computer Methods in Applied Mechanics and Engineering 465 Journal of Computational Physics 363 Journal of Computational and Applied Mathematics 345 Journal of Scientific Computing 344 Computers & Mathematics with Applications 333 Numerische Mathematik 266 Mathematics of Computation 239 International Journal for Numerical Methods in Engineering 213 M\(^3\)AS. 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Series A: Theory and Methods 7 SIAM Journal on Mathematical Analysis 7 Mathematics and Mechanics of Solids 7 Journal of Systems Science and Complexity 7 Acta Numerica ...and 219 more Serials all top 5 Cited in 51 Fields 5,450 Numerical analysis (65-XX) 2,892 Fluid mechanics (76-XX) 2,569 Partial differential equations (35-XX) 1,852 Mechanics of deformable solids (74-XX) 348 Calculus of variations and optimal control; optimization (49-XX) 296 Optics, electromagnetic theory (78-XX) 160 Statistical mechanics, structure of matter (82-XX) 160 Biology and other natural sciences (92-XX) 142 Geophysics (86-XX) 124 Classical thermodynamics, heat transfer (80-XX) 78 Ordinary differential equations (34-XX) 70 Operator theory (47-XX) 56 Operations research, mathematical programming (90-XX) 50 Probability theory and stochastic processes (60-XX) 49 Computer science (68-XX) 44 Integral equations (45-XX) 43 Potential theory (31-XX) 39 Functional analysis (46-XX) 38 Global analysis, analysis on manifolds (58-XX) 36 Approximations and expansions (41-XX) 36 Quantum theory (81-XX) 34 Systems theory; control (93-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Dynamical systems and ergodic theory (37-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 16 General and overarching topics; collections (00-XX) 15 Real functions (26-XX) 15 Information and communication theory, circuits (94-XX) 14 Mechanics of particles and systems (70-XX) 9 Statistics (62-XX) 8 History and biography (01-XX) 7 Combinatorics (05-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Differential geometry (53-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 5 Relativity and gravitational theory (83-XX) 5 Astronomy and astrophysics (85-XX) 4 Manifolds and cell complexes (57-XX) 3 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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