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Author ID: brezzi.franco Recent zbMATH articles by "Brezzi, Franco"
Published as: Brezzi, F.; Brezzi, Franco
Homepage: http://www.imati.cnr.it/brezzi/
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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
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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

Publications by Year

Citations contained in zbMATH Open

177 Publications have been cited 13,327 times in 7,555 Documents Cited by Year
Mixed and hybrid finite element methods. Zbl 0788.73002
Brezzi, Franco; Fortin, Michel
1991
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. Zbl 0338.90047
Brezzi, F.
948
1974
Mixed finite element methods and applications. Zbl 1277.65092
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
614
2013
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
480
1985
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
437
2013
A stable finite element for the Stokes equations. Zbl 0593.76039
Arnold, D. N.; Brezzi, F.; Fortin, M.
394
1984
Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078
Arnold, D. N.; Brezzi, F.
318
1985
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
217
2014
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
193
2013
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
179
2013
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
179
1984
A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Zbl 0756.76044
Brezzi, 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 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
169
2005
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
169
1980
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
162
1994
Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033
Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P.
157
1993
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
153
2000
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
151
2005
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
148
2013
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
146
1997
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
140
1987
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
133
1988
Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065
Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella
128
1987
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
125
2014
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.
117
2016
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.
111
1977
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
96
2001
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
96
2009
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
93
1991
Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238
Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel
88
1989
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
85
2016
On drilling degrees of freedom. Zbl 0691.73015
Hughes, Thomas J. R.; Brezzi, F.
83
1989
On the stabilization of finite element approximations of the Stokes equations. Zbl 0552.76002
Brezzi, F.; Pitkäranta, J
80
1984
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
72
2007
A discourse on the stability conditions for mixed finite element formulations. Zbl 0736.73062
Brezzi, Franco; Bathe, Klaus-Jürgen
70
1990
Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
69
1989
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
67
2004
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
67
2000
\(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
67
2016
Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058
Brezzi, F.; Fortin, M.
65
1986
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
65
1991
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
62
2006
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
60
2006
Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
58
1998
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
58
2009
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
57
2005
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, 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 0938.65126
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
56
2000
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
53
1991
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
53
1977
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.
50
1978
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
50
1981
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
49
1999
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
47
1998
Numerical simulation of semiconductor devices. Zbl 0698.76125
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
45
1989
On the coupling of boundary integral and finite element methods. Zbl 0423.65056
Brezzi, F.; Johnson, Claes
42
1979
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
39
2016
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, 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 0589.73068
Bathe, K. J.; Brezzi, F.
37
1985
On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
36
1997
Mixed finite element methods with continuous stresses. Zbl 0774.73066
Brezzi, Franco; Fortin, Michel; Marini, L. Donatella
35
1993
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
34
2003
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella
33
2005
A three-field domain decomposition method. Zbl 0801.65116
Brezzi, F.; Marini, L. D.
33
1994
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.
32
2011
The MITC7 and MITC9 plate bending elements. Zbl 0705.73241
Bathe, Klaus-Jürgen; Brezzi, Franco; Cho, Seong Wook
29
1989
On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390
Brezzi, F.; Marini, L. D.; Russo, A.
28
2005
Locking-free finite element methods for shells. Zbl 0854.65095
Arnold, Douglas N.; Brezzi, Franco
26
1997
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
26
2007
Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058
Arnold, Douglas N.; Brezzi, Franco
22
1993
Analysis of a Chimera method. Zbl 0988.65117
Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier
21
2001
Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118
Brezzi, Franco; Marini, Donatella
20
2001
Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024
Brezzi, F.; Marini, L. D.
20
2002
Stabilization techniques and subgrid scales capturing. Zbl 0881.65100
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
20
1997
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
20
2014
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
18
2000
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
18
2006
On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048
Brezzi, F.; Marini, L. D.
18
1975
A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024
Brezzi, Franco; Canuto, Claudio; Russo, Alessandro
18
1989
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
18
2017
Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056
Brezzi, Franco; Buffa, Annalisa
17
2010
Finite element approximations of the von Kármán equations. Zbl 0398.73070
Brezzi, F.
17
1978
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.
16
2018
Interacting with the subgrid world. Zbl 0952.65092
Brezzi, F.
16
2000
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
16
2010
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
16
2008
Stabilization of unstable numerical methods. Zbl 0792.35010
Baiocchi, Claudio; Brezzi, Franco
15
1993
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
15
2005
Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181
Beirão 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 1448.65214
Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro
15
2018
Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
14
2009
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
14
2014
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.
13
1995
Finite elements for the Stokes problem. Zbl 1182.76895
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
13
2008
Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071
Brezzi, F.; Douglas, J. jun.; Marini, L. D.
13
1986
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
13
2014
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
13
2016
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
12
2005
Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073
Brezzi, F.; Douglas, Jim jun.; Marini, L. D.
12
1985
Finite elements and virtual elements on classical meshes. Zbl 1477.65196
Brezzi, Franco; Marini, Luisa Donatella
2
2021
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
5
2020
Active particles methods and challenges in behavioral systems. Zbl 1454.35392
Bellomo, 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 1412.65201
Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A.
16
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.
15
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
15
2018
Challenges in active particles methods: theory and applications. Zbl 1411.35149
Bellomo, N.; Brezzi, F.
7
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
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
18
2017
Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017
Beirão 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 1370.82034
Bellomo, N.; Brezzi, F.
4
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.
117
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
85
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.
67
2016
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
39
2016
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão 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 1398.92024
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
3
2016
Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110
Bellomo, Nicola; Brezzi, Franco
4
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.
217
2014
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
125
2014
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
20
2014
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
14
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
13
2014
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
8
2014
The great beauty of VEMs. Zbl 1422.65372
Brezzi, Franco
3
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
614
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.
437
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
193
2013
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
179
2013
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
148
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
5
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.
32
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
17
2010
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
16
2010
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
96
2009
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
58
2009
Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
14
2009
Mathematics and complexity in human and life sciences. Zbl 1175.00022
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
9
2009
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
16
2008
Finite elements for the Stokes problem. Zbl 1182.76895
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
13
2008
Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
5
2008
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
72
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
26
2007
The method of mothers for non-overlapping non-matching DDM. Zbl 1130.65117
Bertoluzza, S.; Brezzi, F.; Sangalli, G.
2
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
62
2006
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
60
2006
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
18
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.
11
2006
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
169
2005
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
151
2005
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, 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 1065.74068
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella
33
2005
On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390
Brezzi, F.; Marini, L. D.; Russo, A.
28
2005
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
15
2005
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
12
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.
67
2004
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
34
2003
Stability of saddle-points in finite dimensions. Zbl 1027.15004
Brezzi, Franco
1
2003
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024
Brezzi, F.; Marini, L. D.
20
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.
96
2001
Analysis of a Chimera method. Zbl 0988.65117
Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier
21
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
2
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.
153
2000
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, 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 0938.65126
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
56
2000
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
37
2000
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
18
2000
Interacting with the subgrid world. Zbl 0952.65092
Brezzi, F.
16
2000
Inf-sup testing of upwind methods. Zbl 0963.76044
Bathe, Klaus-Jürgen; Hendriana, Dena; Brezzi, Franco; Sangalli, Giancarlo
9
2000
Stabilization techniques for the finite element method. Zbl 0991.65106
Brezzi, F.; Russo, A.
1
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
49
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
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 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
58
1998
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
47
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.
146
1997
On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
36
1997
Locking-free finite element methods for shells. Zbl 0854.65095
Arnold, Douglas N.; Brezzi, Franco
26
1997
Stabilization techniques and subgrid scales capturing. Zbl 0881.65100
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
20
1997
On evaluating the inf-sup condition for plate bending elements. Zbl 0901.73074
Iosilevich, Alexander; Bathe, Klaus-Jürgen; Brezzi, Franco
11
1997
Towards shell elements avoiding locking in the general case. Zbl 1052.74582
Brezzi, Franco
2
1997
...and 77 more Documents
all top 5

Cited by 6,936 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 Boffi, Daniele
35 Stenberg, Rolf
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 Buffa, Annalisa
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 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 6,836 more Authors
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Cited in 320 Serials

1,094 Computer Methods in Applied Mechanics and Engineering
465 Journal of Computational Physics
366 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. Mathematical Models & Methods in Applied Sciences
206 Applied Numerical Mathematics
187 Applied Mathematics and Computation
176 Numerical Methods for Partial Differential Equations
152 SIAM Journal on Numerical Analysis
152 Computational Mechanics
148 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
127 SIAM Journal on Scientific Computing
119 Computers and Fluids
112 Calcolo
106 International Journal for Numerical Methods in Fluids
90 Computational Geosciences
70 Advances in Computational Mathematics
61 RAIRO. Modélisation Mathématique et Analyse Numérique
57 Computational Methods in Applied Mathematics
50 Applied Mathematics Letters
48 Mathematics and Computers in Simulation
47 Journal of Mathematical Analysis and Applications
46 Numerical Algorithms
46 Numerical Linear Algebra with Applications
45 Communications in Numerical Methods in Engineering
45 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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38 Numerical Functional Analysis and Optimization
32 Mathematical Methods in the Applied Sciences
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10 Nonlinear Analysis. Real World Applications
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10 Advances in Difference Equations
9 Transport Theory and Statistical Physics
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Engineering Computations
8 International Journal of Engineering Science
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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8 Journal of Elasticity
8 International Journal of Numerical Methods for Heat & Fluid Flow
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Communications in Nonlinear Science and Numerical Simulation
8 Frontiers of Mathematics in China
8 GEM - International Journal on Geomathematics
7 Inverse Problems
7 Applied Mathematics and Optimization
7 Meccanica
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal of Computational Mathematics
7 SIAM Journal on Mathematical Analysis
7 Mathematics and Mechanics of Solids
7 Journal of Systems Science and Complexity
...and 220 more Serials
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