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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/
External Links: MGP · ORCID · Wikidata · GND · IdRef
all top 5

Co-Authors

36 single-authored
79 Marini, Luisa Donatella
29 Russo, Alessandro
22 Bellomo, Nicola
19 Beirão da Veiga, Lourenço
13 Fortin, Michel
12 Pietra, Paola
10 Bathe, Klaus-Jürgen
9 Arnold, Douglas Norman
8 Raviart, Pierre-Arnaud
7 Douglas, Jim jun.
7 Hughes, Thomas J. R.
6 Boffi, Daniele
6 Lipnikov, Konstantin N.
6 Süli, Endre E.
5 Buffa, Annalisa
5 Dassi, Franco
5 Franca, Leopoldo Luis Cabo Penna
5 Gastaldi, Lucia
5 Manzini, Gianmarco
5 Rappaz, Jacques
4 Baiocchi, Claudio
4 Markowich, Peter Alexander
4 Sangalli, Giancarlo
3 Cockburn, Bernardo
3 Falk, Richard S.
3 Shashkov, Mikhail J.
2 Antonietti, Paola Francesca
2 Auricchio, Ferdinando
2 Ayuso de Dios, Blanca
2 Berestycki, Henri
2 Bertoluzza, Silvia
2 Cangiani, Andrea
2 Canuto, Claudio
2 Chaplain, Mark A. J.
2 Hager, William W.
2 Iosilevich, Alexander
2 Johnson, Claes G. L.
2 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, Harold Garth
1 Della Croce, Lucia
1 Descloux, Jean
1 Di Carlo, Antonio
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
...and 16 more Co-Authors
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Serials

33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
21 Computer Methods in Applied Mechanics and Engineering
14 Numerische Mathematik
7 Calcolo
7 SIAM Journal on Numerical Analysis
5 Mathematics of Computation
3 International Journal for Numerical Methods in Engineering
3 Numerical Methods for Partial Differential Equations
3 Journal of Scientific Computing
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Matemática Aplicada e Computacional
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Computers & Mathematics with Applications
2 Journal of Computational Physics
2 Transport Theory and Statistical Physics
2 RAIRO. Analyse Numérique
2 Rendiconti del Seminario Matematico
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 European Mathematical Society Newsletter
2 Bollettino della Unione Matematica Italiana. Series IV
2 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A
2 Springer Series in Computational Mathematics
2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
1 Computers and Fluids
1 Computers and Structures
1 International Journal for Numerical Methods in Fluids
1 Mathematical Methods in the Applied Sciences
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Conferenze del Seminario di Matematica dell’Università di Bari
1 Journal of Computational and Applied Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Chinese Annals of Mathematics. Series B
1 Japan Journal of Applied Mathematics
1 Computational Mechanics
1 Applied Mathematics Letters
1 SIAM Journal on Mathematical Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matemàtica Italiana. Serie VI. A
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
1 Communications on Pure and Applied Analysis
1 Acta Numerica
1 GAMM-Mitteilungen
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Lecture Notes in Computational Science and Engineering
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Bulletin of Mathematical Sciences
1 Springer INdAM Series
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

184 Publications have been cited 16,636 times in 9,148 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.
1974
Mixed finite element methods and applications. Zbl 1277.65092
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
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.
697
2013
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
579
1985
A stable finite element for the Stokes equations. Zbl 0593.76039
Arnold, D. N.; Brezzi, F.; Fortin, M.
468
1984
Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078
Arnold, D. N.; Brezzi, F.
376
1985
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
351
2014
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
319
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
289
2013
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
216
2013
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.
204
2016
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
203
1984
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
190
2005
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
187
1980
A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Zbl 0756.76044
Brezzi, Franco; Bristeau, Marie-Odile; Franca, Leopoldo P.; Mallet, Michel; Rogé, Gilbert
183
1992
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
180
2005
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
177
1994
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
177
1997
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
176
2014
On the stabilization of finite element approximations of the Stokes equations. Zbl 0552.76002
Brezzi, F.; Pitkäranta, J
176
1984
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
171
2000
Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033
Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P.
168
1993
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
161
1987
Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065
Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella
146
1987
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
139
1988
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.
126
1977
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
125
2009
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
125
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.
121
2016
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
120
2001
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
97
1991
Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238
Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel
93
1989
On drilling degrees of freedom. Zbl 0691.73015
Hughes, Thomas J. R.; Brezzi, F.
86
1989
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
83
2004
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
81
2007
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
81
2000
Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
79
1989
A discourse on the stability conditions for mixed finite element formulations. Zbl 0736.73062
Brezzi, Franco; Bathe, Klaus-Jürgen
78
1990
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
78
2009
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
77
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
70
2006
Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058
Brezzi, F.; Fortin, M.
70
1986
On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. Zbl 0938.65126
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
70
2000
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
65
2006
Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
65
1998
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
64
1977
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
64
1991
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
64
2005
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
59
1981
Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods. Zbl 0427.65077
Brezzi, Franco; Hager, William W.; Raviart, P. A.
57
1978
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
56
2016
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
55
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
54
1999
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
52
1998
Numerical simulation of semiconductor devices. Zbl 0698.76125
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
51
1989
On the coupling of boundary integral and finite element methods. Zbl 0423.65056
Brezzi, F.; Johnson, Claes
50
1979
On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
44
1997
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041
Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A.
43
2011
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella
42
2005
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.
42
1985
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
39
2000
A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201
Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A.
38
2018
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
37
2003
A three-field domain decomposition method. Zbl 0801.65116
Brezzi, F.; Marini, L. D.
36
1994
Mixed finite element methods with continuous stresses. Zbl 0774.73066
Brezzi, Franco; Fortin, Michel; Marini, L. Donatella
35
1993
Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
35
2018
Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
33
2017
The MITC7 and MITC9 plate bending elements. Zbl 0705.73241
Bathe, Klaus-Jürgen; Brezzi, Franco; Cho, Seong Wook
32
1989
On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390
Brezzi, F.; Marini, L. D.; Russo, A.
30
2005
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
29
2007
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
29
2016
Locking-free finite element methods for shells. Zbl 0854.65095
Arnold, Douglas N.; Brezzi, Franco
28
1997
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
26
2014
Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058
Arnold, Douglas N.; Brezzi, Franco
24
1993
Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214
Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro
24
2018
Finite elements for the Stokes problem. Zbl 1182.76895
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
24
2008
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
24
2020
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
23
2017
Analysis of a Chimera method. Zbl 0988.65117
Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier
23
2001
Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024
Brezzi, F.; Marini, L. D.
23
2002
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
22
2005
Finite element approximations of the von Kármán equations. Zbl 0398.73070
Brezzi, F.
22
1978
Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056
Brezzi, Franco; Buffa, Annalisa
21
2010
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
21
2000
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
20
2006
Stabilization techniques and subgrid scales capturing. Zbl 0881.65100
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
20
1997
Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118
Brezzi, Franco; Marini, Donatella
20
2001
On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048
Brezzi, F.; Marini, L. D.
20
1975
A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024
Brezzi, Franco; Canuto, Claudio; Russo, Alessandro
20
1989
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
20
2014
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
18
2010
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
18
2014
Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071
Brezzi, F.; Douglas, J. jun.; Marini, L. D.
18
1986
Interacting with the subgrid world. Zbl 0952.65092
Brezzi, F.
18
2000
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
17
2008
Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension. Zbl 0829.35127
Brezzi, F.; Gasser, I.; Markowich, P. A.; Schmeiser, C.
16
1995
Stabilization of unstable numerical methods. Zbl 0792.35010
Baiocchi, Claudio; Brezzi, Franco
15
1993
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
15
2005
The virtual element method. Zbl 07736655
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro
2
2023
Finite elements and virtual elements on classical meshes. Zbl 1477.65196
Brezzi, Franco; Marini, Luisa Donatella
7
2021
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems. Zbl 1484.00091
5
2021
Recent results and perspectives for virtual element methods. Zbl 1478.65112
Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D.
3
2021
Collective dynamics in science and society. Zbl 1485.35357
Bellomo, N.; Brezzi, F.
1
2021
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
24
2020
Active particles methods and challenges in behavioral systems. Zbl 1454.35392
Bellomo, N.; Brezzi, F.; Soler, J.
4
2020
Recent results and challenges in behavioral systems. Zbl 07291075
1
2020
A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201
Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A.
38
2018
Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
35
2018
Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214
Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro
24
2018
Challenges in active particles methods: theory and applications. Zbl 1411.35149
Bellomo, N.; Brezzi, F.
9
2018
Virtual element approximations of the vector potential formulation of magnetostatic problems. Zbl 1416.78024
Da Veiga, Lourenço Beirão; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro
1
2018
Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
33
2017
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
23
2017
Modeling behavioral social systems. Zbl 1355.00017
13
2017
Mathematical models of self-propelled particles. Zbl 1370.82034
Bellomo, N.; Brezzi, F.
5
2017
Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
204
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
125
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.
121
2016
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
56
2016
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
29
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
10
2016
Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024
Bellomo, N.; Brezzi, F.
10
2016
Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110
Bellomo, Nicola; Brezzi, Franco
6
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.
351
2014
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
176
2014
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
26
2014
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
20
2014
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128
Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil
18
2014
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
12
2014
The great beauty of VEMs. Zbl 1422.65372
Brezzi, Franco
6
2014
Complex systems: new challenges with modeling headaches. Zbl 1280.00033
Bellomo, N.; Brezzi, Franco
3
2014
A quick tutorial on DG methods for elliptic problems. Zbl 1282.65149
Brezzi, F.; Marini, L. D.
1
2014
Mixed finite element methods and applications. Zbl 1277.65092
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
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.
697
2013
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
319
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
289
2013
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
216
2013
Mathematics and complexity of multi-particle systems. Zbl 1242.92003
Bellomo, N.; Brezzi, F.
8
2012
\(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095
Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella
7
2012
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041
Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A.
43
2011
Mathematics and complexity in biological sciences. Zbl 1328.00110
Bellomo, N.; Brezzi, F.
7
2011
The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case. Zbl 1307.74063
Bathe, Klaus-Jürgen; Brezzi, Franco; Marini, L. Donatella
6
2011
New rectangular plate elements based on twist-Kirchhoff theory. Zbl 1230.74170
Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D.
5
2011
Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056
Brezzi, Franco; Buffa, Annalisa
21
2010
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
18
2010
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
125
2009
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
78
2009
Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
15
2009
Mathematics and complexity in human and life sciences. Zbl 1175.00022
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
9
2009
Finite elements for the Stokes problem. Zbl 1182.76895
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
24
2008
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
17
2008
Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
6
2008
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
81
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
29
2007
The method of mothers for non-overlapping non-matching DDM. Zbl 1130.65117
Bertoluzza, S.; Brezzi, F.; Sangalli, G.
3
2007
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
70
2006
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
65
2006
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
20
2006
Stability and error analysis of mixed finite-volume methods for advection dominated problems. Zbl 1136.65097
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.
12
2006
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
190
2005
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
180
2005
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
64
2005
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella
42
2005
On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390
Brezzi, F.; Marini, L. D.; Russo, A.
30
2005
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
22
2005
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
15
2005
Non-matching grids and Lagrange multipliers. Zbl 1066.65139
Bertoluzza, S.; Brezzi, F.; Marini, L. D.; Sangalli, G.
1
2005
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
83
2004
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
37
2003
Stability of saddle-points in finite dimensions. Zbl 1027.15004
Brezzi, Franco
2
2003
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024
Brezzi, F.; Marini, L. D.
23
2002
Subgrid phenomena and numerical schemes. Zbl 1016.76044
Brezzi, Franco; Marini, Donatella
5
2002
Recent results in the treatment of subgrid scales. Zbl 1056.65111
Brezzi, Franco
1
2002
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
120
2001
Analysis of a Chimera method. Zbl 0988.65117
Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier
23
2001
Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118
Brezzi, Franco; Marini, Donatella
20
2001
Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem. Zbl 1221.65304
Brezzi, Franco; Hughes, Thomas J. R.; Süli, Endre
4
2001
Stability of finite element mixed interpolations for contact problems. Zbl 1097.74054
Brezzi, Franco; Bathe, Klaus Jürgen
4
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.
171
2000
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
81
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
70
2000
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
39
2000
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
21
2000
Interacting with the subgrid world. Zbl 0952.65092
Brezzi, F.
18
2000
Inf-sup testing of upwind methods. Zbl 0963.76044
Bathe, Klaus-Jürgen; Hendriana, Dena; Brezzi, Franco; Sangalli, Giancarlo
11
2000
Stabilization techniques for the finite element method. Zbl 0991.65106
Brezzi, F.; Russo, A.
3
2000
A priori error analysis of residual-free bubbles for advection-diffusion problems. Zbl 0947.65115
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Russo, A.; Süli, Endre
54
1999
On the classification of linearly elastic shells. (Sur la classification des coques linéairement élastiques.) Zbl 0943.74036
Blouza, Adel; Brezzi, Franco; Lovadina, Carlo
9
1999
Numerical inf-sup analysis of MITC plate bending elements. Zbl 0958.74066
Iosilevich, Alexander; Bathe, Klaus-Jürgen; Brezzi, Franco
4
1999
Special issue on Mathematical models for the growth, development and treatment of tumours. Zbl 0929.00034
4
1999
Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
65
1998
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
52
1998
Mixed finite elements for Maxwell’s eigenproblem: The question of spurious modes. Zbl 0992.78509
Boffi, D.; Brezzi, F.; Gastaldi, L.
6
1998
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
177
1997
On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
44
1997
...and 84 more Documents
all top 5

Cited by 8,240 Authors

130 Gatica, Gabriel N.
93 Brezzi, Franco
85 Beirão da Veiga, Lourenço
72 Cockburn, Bernardo
63 Carstensen, Carsten
62 Antonietti, Paola Francesca
62 Manzini, Gianmarco
60 He, Yinnian
59 Chen, Zhangxin
59 Ye, Xiu
57 Codina, Ramon
57 Ruiz-Baier, Ricardo
56 Zhang, Shangyou
53 Di Pietro, Daniele Antonio
52 Hughes, Thomas J. R.
52 Marini, Luisa Donatella
51 Chen, Yanping
46 Mora, David
45 Russo, Alessandro
45 Yotov, Ivan
44 Boffi, Daniele
44 Quarteroni, Alfio M.
44 Wang, Junping
43 Franca, Leopoldo Luis Cabo Penna
43 Lovadina, Carlo
43 Meddahi, Salim
43 Park, Eun-Jae
43 Vohralík, Martin
42 Mu, Lin
42 Oyarzúa, Ricardo
42 Wheeler, Mary Fanett
40 Droniou, Jérôme
40 Huang, Yunqing
39 Ern, Alexandre
39 Rui, Hongxing
38 Wriggers, Peter
37 Feng, Minfu
37 Li, Jian
37 Sayas, Francisco-Javier
37 Stenberg, Rolf
36 Xu, Jinchao
35 Brenner, Susanne Cecelia
35 Verani, Marco
34 Chung, Tsz Shun Eric
34 Gastaldi, Lucia
34 Sacco, Riccardo
33 Burman, Erik
33 Lipnikov, Konstantin N.
33 Wohlmuth, Barbara I.
33 Xie, Xiaoping
32 Hu, Jun
32 Huang, Xuehai
32 Masud, Arif
32 Rozza, Gianluigi
32 Schöberl, Joachim
31 Houston, Paul
30 Bernardi, Christine
30 Dassi, Franco
30 Duan, Huoyuan
30 Han, Weimin
30 Luo, Zhendong
30 Repin, Sergeĭ Igorevich
29 Chen, Jinru
29 Huang, Jianguo
29 Schötzau, Dominik
29 Wang, Fei
29 Zhao, Jikun
28 Bassi, Francesco
28 Bertoluzza, Silvia
28 Gopalakrishnan, Jay
28 Hansbo, Peter
28 Larson, Mats G.
28 Nataraj, Neela
27 Auricchio, Ferdinando
27 Pani, Amiya Kumar
26 Arnold, Douglas Norman
26 Badia, Santiago
26 Chen, Long
26 Chen, Shaochun
26 Loula, Abimael Fernando Dourado
26 Perugia, Ilaria
26 Scovazzi, Guglielmo
25 Bellomo, Nicola
25 Caucao, Sergio
25 Farhat, Charbel H.
25 Fortin, Michel
25 Linke, Alexander
25 Oñate Ibáñez de Navarra, Eugenio
25 Sung, Li-Yeng
25 Valentin, Frédéric
25 Winther, Ragnar
24 Cai, Zhiqiang
24 Demkowicz, Leszek F.
24 Giani, Stefano
24 Gudi, Thirupathi
24 Hu, Xiaozhe
24 Mascotto, Lorenzo
24 Nicaise, Serge
24 Nochetto, Ricardo Horacio
24 Vacca, Giuseppe
...and 8,140 more Authors
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Cited in 357 Serials

1,282 Computer Methods in Applied Mechanics and Engineering
578 Journal of Computational Physics
483 Computers & Mathematics with Applications
440 Journal of Scientific Computing
425 Journal of Computational and Applied Mathematics
349 Numerische Mathematik
281 Mathematics of Computation
276 International Journal for Numerical Methods in Engineering
243 Applied Numerical Mathematics
228 Numerical Methods for Partial Differential Equations
227 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
209 SIAM Journal on Numerical Analysis
202 Applied Mathematics and Computation
185 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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167 SIAM Journal on Scientific Computing
138 Computers and Fluids
127 Calcolo
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93 Advances in Computational Mathematics
73 Mathematics and Computers in Simulation
67 Numerical Algorithms
67 Computational Methods in Applied Mathematics
61 RAIRO. Modélisation Mathématique et Analyse Numérique
61 Applied Mathematics Letters
51 Journal of Mathematical Analysis and Applications
49 Comptes Rendus. Mathématique. Académie des Sciences, Paris
46 Numerical Linear Algebra with Applications
45 Communications in Numerical Methods in Engineering
43 Communications in Computational Physics
42 Mathematical Methods in the Applied Sciences
42 Applied Mathematical Modelling
41 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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40 Advances in Applied Mathematics and Mechanics
38 Numerical Functional Analysis and Optimization
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35 BIT
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13 ETNA. Electronic Transactions on Numerical Analysis
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13 Nonlinear Analysis. Theory, Methods & Applications
12 COMPEL
11 Inverse Problems
11 Acta Mathematicae Applicatae Sinica. English Series
11 Applied Mathematics. Series B (English Edition)
11 Vietnam Journal of Mathematics
11 Discrete and Continuous Dynamical Systems. Series B
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10 Computational Mathematics and Mathematical Physics
10 SIAM Journal on Mathematical Analysis
10 Acta Numerica
10 Advances in Difference Equations
9 Transport Theory and Statistical Physics
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Computer Aided Geometric Design
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Journal of Mathematical Fluid Mechanics
9 Engineering Computations
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
...and 257 more Serials
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Cited in 53 Fields

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