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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
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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

179 Publications have been cited 14,165 times in 7,897 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.
978
1974
Mixed finite element methods and applications. Zbl 1277.65092
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
698
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.
513
2013
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
505
1985
A stable finite element for the Stokes equations. Zbl 0593.76039
Arnold, D. N.; Brezzi, F.; Fortin, M.
405
1984
Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078
Arnold, D. N.; Brezzi, F.
335
1985
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
259
2014
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
220
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
215
2013
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
185
1984
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
177
1980
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
176
2005
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
175
2013
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
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
164
2005
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
164
1994
Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033
Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P.
159
1993
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
159
2000
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
150
1997
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
148
1987
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.
146
2016
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
145
2014
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
134
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
134
1987
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.
114
1977
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
109
2009
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
103
2001
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
101
2016
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
94
1991
Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238
Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel
89
1989
On the stabilization of finite element approximations of the Stokes equations. Zbl 0552.76002
Brezzi, F.; Pitkäranta, J
88
1984
\(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
84
2016
On drilling degrees of freedom. Zbl 0691.73015
Hughes, Thomas J. R.; Brezzi, F.
84
1989
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
75
2007
Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
72
1989
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
71
1991
A discourse on the stability conditions for mixed finite element formulations. Zbl 0736.73062
Brezzi, Franco; Bathe, Klaus-Jürgen
70
1990
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
70
2004
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
69
2000
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
67
2006
Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058
Brezzi, F.; Fortin, M.
66
1986
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
65
2009
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
60
2006
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
60
2000
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
59
2005
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
58
1981
Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
58
1998
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
55
1991
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
55
1977
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
51
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.
50
1978
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
50
1999
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
48
1998
On the coupling of boundary integral and finite element methods. Zbl 0423.65056
Brezzi, F.; Johnson, Claes
46
1979
Numerical simulation of semiconductor devices. Zbl 0698.76125
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
45
1989
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
41
2016
On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
39
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.
39
2011
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.
38
1985
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella
37
2005
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
37
2000
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
35
2003
Mixed finite element methods with continuous stresses. Zbl 0774.73066
Brezzi, Franco; Fortin, Michel; Marini, L. Donatella
35
1993
A three-field domain decomposition method. Zbl 0801.65116
Brezzi, F.; Marini, L. D.
33
1994
The MITC7 and MITC9 plate bending elements. Zbl 0705.73241
Bathe, Klaus-Jürgen; Brezzi, Franco; Cho, Seong Wook
30
1989
On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390
Brezzi, F.; Marini, L. D.; Russo, A.
29
2005
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
27
2007
Locking-free finite element methods for shells. Zbl 0854.65095
Arnold, Douglas N.; Brezzi, Franco
26
1997
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.
24
2018
Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058
Arnold, Douglas N.; Brezzi, Franco
23
1993
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
23
2014
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
Stabilization techniques and subgrid scales capturing. Zbl 0881.65100
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
20
1997
Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024
Brezzi, F.; Marini, L. D.
20
2002
Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
19
2018
A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024
Brezzi, Franco; Canuto, Claudio; Russo, Alessandro
19
1989
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
19
2000
Finite element approximations of the von Kármán equations. Zbl 0398.73070
Brezzi, F.
19
1978
Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056
Brezzi, Franco; Buffa, Annalisa
19
2010
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
19
2006
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
19
2017
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
18
2016
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
18
2010
On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048
Brezzi, F.; Marini, L. D.
18
1975
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
17
2018
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
17
2005
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
16
2014
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
16
2008
Interacting with the subgrid world. Zbl 0952.65092
Brezzi, F.
16
2000
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
16
2014
Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
15
2017
Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071
Brezzi, F.; Douglas, J. jun.; Marini, L. D.
15
1986
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.
15
1995
Stabilization of unstable numerical methods. Zbl 0792.35010
Baiocchi, Claudio; Brezzi, Franco
15
1993
Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
15
2009
Finite elements for the Stokes problem. Zbl 1182.76895
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
14
2008
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
14
2020
Finite elements and virtual elements on classical meshes. Zbl 1477.65196
Brezzi, Franco; Marini, Luisa Donatella
3
2021
Collective dynamics in science and society. Zbl 1485.35357
Bellomo, N.; Brezzi, F.
1
2021
Recent results and perspectives for virtual element methods. Zbl 1478.65112
Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D.
1
2021
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
14
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.
24
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.
19
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
17
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
19
2017
Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
15
2017
Modeling behavioral social systems. Zbl 1355.00017
11
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.
146
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
101
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.
84
2016
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
41
2016
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
18
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
5
2015
An “immersed” finite element method based on a locally anisotropic remeshing for the incompressible Stokes problem. Zbl 1423.76203
Auricchio, F.; Brezzi, F.; Lefieux, A.; Reali, A.
1
2015
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
259
2014
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
145
2014
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
23
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
16
2014
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
16
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
698
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.
513
2013
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
220
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
215
2013
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
175
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
6
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.
39
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
19
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
109
2009
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
65
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
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
14
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
75
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
27
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
67
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.
19
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
176
2005
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
164
2005
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
59
2005
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella
37
2005
On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390
Brezzi, F.; Marini, L. D.; Russo, A.
29
2005
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
17
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.
70
2004
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
35
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.
103
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.
159
2000
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
69
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
60
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.
19
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.
2
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
50
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.
48
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.
150
1997
On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
39
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
...and 79 more Documents
all top 5

Cited by 7,207 Authors

117 Gatica, Gabriel N.
89 Brezzi, Franco
74 Beirão da Veiga, Lourenço
67 Cockburn, Bernardo
59 Carstensen, Carsten
54 Manzini, Gianmarco
53 Antonietti, Paola Francesca
53 Chen, Zhangxin
53 Codina, Ramon
52 He, Yinnian
51 Ye, Xiu
50 Hughes, Thomas J. R.
49 Marini, Luisa Donatella
48 Di Pietro, Daniele Antonio
47 Zhang, Shangyou
43 Chen, Yanping
43 Franca, Leopoldo Luis Cabo Penna
43 Ruiz-Baier, Ricardo
41 Meddahi, Salim
40 Park, Eun-Jae
40 Russo, Alessandro
40 Wheeler, Mary Fanett
39 Lovadina, Carlo
38 Boffi, Daniele
38 Mora, David
38 Oyarzúa, Ricardo
38 Quarteroni, Alfio M.
38 Yotov, Ivan
37 Sayas, Francisco-Javier
37 Vohralík, Martin
37 Wang, Junping
36 Mu, Lin
36 Stenberg, Rolf
35 Li, Jian
34 Ern, Alexandre
33 Droniou, Jérôme
33 Feng, Minfu
33 Wohlmuth, Barbara I.
33 Xu, Jinchao
32 Brenner, Susanne Cecelia
32 Sacco, Riccardo
31 Huang, Yunqing
30 Bernardi, Christine
30 Gastaldi, Lucia
30 Houston, Paul
30 Lipnikov, Konstantin N.
30 Masud, Arif
30 Rui, Hongxing
29 Burman, Erik
29 Luo, Zhendong
29 Schötzau, Dominik
29 Wriggers, Peter
29 Xie, Xiaoping
28 Chung, Tsz Shun Eric
28 Repin, Sergeĭ Igorevich
28 Rozza, Gianluigi
28 Verani, Marco
27 Bassi, Francesco
27 Duan, Huoyuan
27 Han, Weimin
27 Larson, Mats G.
27 Schöberl, Joachim
26 Bertoluzza, Silvia
26 Chen, Long
26 Loula, Abimael Fernando Dourado
26 Nataraj, Neela
25 Arnold, Douglas Norman
25 Hansbo, Peter
25 Pani, Amiya Kumar
25 Perugia, Ilaria
24 Chen, Jinru
24 Dassi, Franco
24 Fortin, Michel
24 Huang, Jianguo
24 Huang, Xuehai
24 Valentin, Frédéric
24 Winther, Ragnar
23 Auricchio, Ferdinando
23 Badia, Santiago
23 Barrenechea, Gabriel R.
23 Bazilevs, Yuri
23 Chen, Shaochun
23 Girault, Vivette
23 Gudi, Thirupathi
23 Hu, Jun
23 Marquez-Duran, Antonio M.
23 Nicaise, Serge
23 Nochetto, Ricardo Horacio
23 Reddy, B. Dayanand
23 Vacca, Giuseppe
23 Zikatanov, Ludmil T.
22 Arbogast, Todd
22 Bellomo, Nicola
22 Bochev, Pavel B.
22 Buffa, Annalisa
22 Farhat, Charbel H.
22 Giani, Stefano
22 Oñate Ibáñez de Navarra, Eugenio
22 Rodríguez, Rodolfo
22 Scovazzi, Guglielmo
...and 7,107 more Authors
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Cited in 328 Serials

1,115 Computer Methods in Applied Mechanics and Engineering
478 Journal of Computational Physics
390 Computers & Mathematics with Applications
378 Journal of Scientific Computing
374 Journal of Computational and Applied Mathematics
340 Numerische Mathematik
273 Mathematics of Computation
239 International Journal for Numerical Methods in Engineering
213 Applied Numerical Mathematics
213 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
192 Applied Mathematics and Computation
176 Numerical Methods for Partial Differential Equations
167 SIAM Journal on Numerical Analysis
156 Computational Mechanics
150 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
140 SIAM Journal on Scientific Computing
120 Computers and Fluids
115 Calcolo
106 International Journal for Numerical Methods in Fluids
91 Computational Geosciences
79 Advances in Computational Mathematics
61 RAIRO. Modélisation Mathématique et Analyse Numérique
60 Computational Methods in Applied Mathematics
56 Numerical Algorithms
54 Applied Mathematics Letters
51 Mathematics and Computers in Simulation
50 Journal of Mathematical Analysis and Applications
46 Numerical Linear Algebra with Applications
45 Communications in Numerical Methods in Engineering
45 Comptes Rendus. Mathématique. Académie des Sciences, Paris
41 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
38 Numerical Functional Analysis and Optimization
36 Applied Mathematical Modelling
34 Communications in Computational Physics
32 Mathematical Methods in the Applied Sciences
32 Japan Journal of Industrial and Applied Mathematics
31 RAIRO. Analyse Numérique
31 International Journal of Computer Mathematics
31 Computational and Applied Mathematics
31 Advances in Applied Mathematics and Mechanics
30 Applications of Mathematics
30 Journal of Numerical Mathematics
29 BIT
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28 Applicable Analysis
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25 Mathematical and Computer Modelling
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21 Multiscale Modeling & Simulation
18 Acta Mechanica
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16 Abstract and Applied Analysis
16 East Asian Journal on Applied Mathematics
15 Journal of Differential Equations
14 Russian Journal of Numerical Analysis and Mathematical Modelling
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13 Electronic Research Archive
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10 Discrete and Continuous Dynamical Systems. Series B
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9 International Journal of Engineering Science
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9 Communications in Nonlinear Science and Numerical Simulation
9 Engineering Computations
9 Results in Applied Mathematics
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Applied Mathematics and Optimization
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Computer Aided Geometric Design
8 Journal of Computational Mathematics
8 Journal of Elasticity
8 International Journal of Numerical Methods for Heat & Fluid Flow
8 Mathematics and Mechanics of Solids
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Frontiers of Mathematics in China
8 GEM - International Journal on Geomathematics
7 Inverse Problems
7 Meccanica
...and 228 more Serials
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169 Biology and other natural sciences (92-XX)
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128 Classical thermodynamics, heat transfer (80-XX)
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