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Brezzi, Franco

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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 · Wikidata · ORCID · GND
Documents Indexed: 211 Publications since 1970, including 10 Books
all top 5

Co-Authors

36 single-authored
66 Marini, Luisa Donatella
26 Russo, Alessandro
16 Bellomo, Nicola
15 Beirão da Veiga, Lourenço
13 Fortin, Michel
12 Pietra, Paola
10 Bathe, Klaus-Jürgen
9 Arnold, Douglas Norman
8 Raviart, Pierre-Arnaud
7 Douglas, Jim jun.
7 Hughes, Thomas J. R.
7 Marini, Luisa Donatelia
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 Micheletti, Sandro M. R.
2 Nadal, Jean-Pierre
2 Pironneau, Olivier
2 Quarteroni, Alfio M.
2 Sacchi, Giannantonio
2 Sacco, Ralph L.
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 Cornalba, M. D. T.
1 Corsaro, Stefania
1 Dales, H. Garth
1 Della Croce, Lucia
1 Descloux, Jean
1 DiCarlo, Anthony
1 Douglas, Craig C.
1 Durán, Ricardo G.
1 Evans, John A.
1 Fialowski, Alice
1 Fujii, Hideki
1 Fujii, Hidenori
1 Fujii, Hisashi
1 Gasser, Ingenuin
1 Gatteschi, Luigi
1 Gazzaniga, Gianna
1 Gentili, Graziano
1 Georgoulis, Emmanuil H.
1 Gerard, Patrick
1 Gianazza, Ugo Pietro
1 Gilardi, Gianni
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
...and 29 more Co-Authors
all top 5

Serials

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

176 Publications have been cited 12,056 times in 6,899 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.
880
1974
Mixed finite element methods and applications. Zbl 1277.65092
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
454
2013
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
433
1985
A stable finite element for the Stokes equations. Zbl 0593.76039
Arnold, D. N.; Brezzi, F.; Fortin, M.
360
1984
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
321
2013
Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. Zbl 0567.65078
Arnold, D. N.; Brezzi, F.
283
1985
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
164
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
160
1992
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
159
1994
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions. Zbl 0488.65021
Brezzi, F.; Rappaz, J.; Raviart, P. A.
159
1980
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
157
2014
Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033
Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P.
156
1993
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
154
2005
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
153
2013
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
145
1997
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
140
2000
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
134
2005
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
130
1987
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
129
2013
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
128
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
125
1987
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
115
2013
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.
107
1977
Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053
Brezzi, Franco; Fortin, Michel; Stenberg, Rolf
91
1991
A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067
Brezzi, F.; Fortin, M.
90
2001
Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238
Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel
86
1989
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
83
2014
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
83
2009
On drilling degrees of freedom. Zbl 0691.73015
Hughes, Thomas J. R.; Brezzi, F.
83
1989
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.
79
2016
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
70
2007
On the stabilization of finite element approximations of the Stokes equations. Zbl 0552.76002
Brezzi, F.; Pitkäranta, J
69
1984
Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
67
1989
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
65
2000
A discourse on the stability conditions for mixed finite element formulations. Zbl 0736.73062
Brezzi, Franco; Bathe, Klaus-Jürgen
63
1990
Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058
Brezzi, F.; Fortin, M.
63
1986
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
58
1991
Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
57
1998
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
56
2016
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
55
2006
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
55
2004
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
53
2005
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
53
2000
Finite dimensional approximation of nonlinear problems. II: Limit points. Zbl 0525.65036
Brezzi, F.; Rappaz, J.; Raviart, P. A.
53
1981
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
52
2009
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
51
2006
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
51
1991
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.
51
1978
Mixed finite element methods for 4th order elliptic equations. Zbl 0434.65085
Brezzi, F.; Raviart, P. A.
50
1977
Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points. Zbl 0525.65037
Brezzi, F.; Rappaz, J.; Raviart, P. A.
46
1981
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
45
1998
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
44
1999
\(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
43
2016
Numerical simulation of semiconductor devices. Zbl 0698.76125
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
41
1989
On the coupling of boundary integral and finite element methods. Zbl 0423.65056
Brezzi, F.; Johnson, Claes
40
1979
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
36
2003
On the convergence of eigenvalues for mixed formulations. Zbl 1003.65052
Boffi, Daniele; Brezzi, Franco; Gastaldi, Lucia
36
1997
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.
36
1985
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
35
2000
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
Mixed finite element methods with continuous stresses. Zbl 0774.73066
Brezzi, Franco; Fortin, Michel; Marini, L. Donatella
33
1993
A three-field domain decomposition method. Zbl 0801.65116
Brezzi, F.; Marini, L. D.
31
1994
The MITC7 and MITC9 plate bending elements. Zbl 0705.73241
Bathe, Klaus-Jürgen; Brezzi, Franco; Cho, Seong Wook
29
1989
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.
28
2011
On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390
Brezzi, F.; Marini, L. D.; Russo, A.
28
2005
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
27
2016
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
25
2007
Locking-free finite element methods for shells. Zbl 0854.65095
Arnold, Douglas N.; Brezzi, Franco
25
1997
Some new elements for the Reissner-Mindlin plate model. Zbl 0817.73058
Arnold, Douglas N.; Brezzi, Franco
22
1993
Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024
Brezzi, F.; Marini, L. D.
20
2002
Analysis of a Chimera method. Zbl 0988.65117
Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier
20
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
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
19
2014
A self-adaptive formulation for the Euler/Navier-Stokes coupling. Zbl 0688.76024
Brezzi, Franco; Canuto, Claudio; Russo, Alessandro
18
1989
On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048
Brezzi, F.; Marini, L. D.
18
1975
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
17
2010
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
17
2000
Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056
Brezzi, Franco; Buffa, Annalisa
16
2010
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
15
2008
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
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
14
2017
Interacting with the subgrid world. Zbl 0952.65092
Brezzi, F.
14
2000
Stabilization of unstable numerical methods. Zbl 0792.35010
Baiocchi, Claudio; Brezzi, Franco
14
1993
Finite elements for the Stokes problem. Zbl 1182.76895
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
13
2008
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
13
2006
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
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
12
2014
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
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 element approximations of the von Kármán equations. Zbl 0398.73070
Brezzi, F.
12
1978
A finite element approximation of a variational inequality related to hydraulics. Zbl 0353.76068
Brezzi, F.; Sacchi, G.
12
1976
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
11
2014
Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
11
2009
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
11
2005
On evaluating the inf-sup condition for plate bending elements. Zbl 0901.73074
Iosilevich, Alexander; Bathe, Klaus-Jürgen; Brezzi, Franco
11
1997
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
10
2018
Modeling behavioral social systems. Zbl 1355.00017
Bellomo, N. (ed.); Brezzi, F. (ed.); Pulvirenti, M. (ed.)
10
2017
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
2
2020
Active particles methods and challenges in behavioral systems. Zbl 1454.35392
Bellomo, N.; Brezzi, F.; Soler, J.
1
2020
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
10
2018
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.
9
2018
Challenges in active particles methods: theory and applications. Zbl 1411.35149
Bellomo, N.; Brezzi, F.
6
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.
5
2018
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
14
2017
Modeling behavioral social systems. Zbl 1355.00017
Bellomo, N. (ed.); Brezzi, F. (ed.); Pulvirenti, M. (ed.)
10
2017
Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017
Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A.
4
2017
Mathematical models of self-propelled particles. Zbl 1370.82034
Bellomo, N.; Brezzi, F.
3
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.
79
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
56
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.
43
2016
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
27
2016
Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024
Bellomo, N.; Brezzi, F.
9
2016
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
6
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
Barrenechea, Gabriel R. (ed.); Brezzi, Franco (ed.); Cangiani, Andrea (ed.); Georgoulis, Emmanuil H. (ed.)
4
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.
157
2014
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
83
2014
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
19
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
12
2014
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
11
2014
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
6
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
454
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.
321
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
153
2013
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
129
2013
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
115
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.
28
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
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
17
2010
Innovative mimetic discretizations for electromagnetic problems. Zbl 1191.78056
Brezzi, Franco; Buffa, Annalisa
16
2010
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
83
2009
Reduced symmetry elements in linear elasticity. Zbl 1154.74041
Boffi, Daniele; Brezzi, Franco; Fortin, Michel
52
2009
Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
11
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.
15
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
4
2008
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
70
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
25
2007
The method of mothers for non-overlapping non-matching DDM. Zbl 1130.65117
Bertoluzza, S.; Brezzi, F.; Sangalli, G.
2
2007
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
55
2006
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
51
2006
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
13
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.
10
2006
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
154
2005
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
134
2005
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
53
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.
12
2005
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
11
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.
55
2004
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
36
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.
90
2001
Analysis of a Chimera method. Zbl 0988.65117
Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier
20
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
5
2001
Stability of finite element mixed interpolations for contact problems. Zbl 1097.74054
Brezzi, Franco; Bathe, Klaus Jürgen
3
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.
140
2000
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
65
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
53
2000
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
35
2000
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
17
2000
Interacting with the subgrid world. Zbl 0952.65092
Brezzi, F.
14
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
44
1999
On the classification of linearly elastic shells. 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
Bellomo, N. (ed.); Brezzi, F. (ed.)
3
1999
Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
57
1998
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
45
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.
145
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
25
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
3
1997
A monotonic scheme for advection-diffusion problems. Zbl 0870.65101
Brezzi, F.; Marini, D.; Pietra, P.; Russo, A.
2
1996
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
Choosing bubbles for advection-diffusion problems. Zbl 0819.65128
Brezzi, Franco; Russo, Alessandro
159
1994
...and 76 more Documents
all top 5

Cited by 6,848 Authors

102 Gatica, Gabriel N.
86 Brezzi, Franco
65 Beirão da Veiga, Lourenço
64 Cockburn, Bernardo
51 Carstensen, Carsten
51 Codina, Ramon
50 Chen, Zhangxin
49 Hughes, Thomas J. R.
43 Franca, Leopoldo Luis Cabo Penna
43 Marini, Luisa Donatella
41 Ye, Xiu
40 Russo, Alessandro
39 Chen, Yanping
39 He, Yinnian
38 Antonietti, Paola Francesca
38 Di Pietro, Daniele Antonio
38 Manzini, Gianmarco
38 Wheeler, Mary Fanett
37 Quarteroni, Alfio M.
36 Sayas, Francisco-Javier
36 Vohralík, Martin
35 Meddahi, Salim
35 Stenberg, Rolf
35 Zhang, Shangyou
33 Boffi, Daniele
33 Lovadina, Carlo
32 Mu, Lin
32 Park, Eun-Jae
32 Sacco, Riccardo
32 Wohlmuth, Barbara I.
31 Ruiz-Baier, Ricardo
31 Wang, Junping
31 Yotov, Ivan
30 Bernardi, Christine
30 Brenner, Susanne Cecelia
30 Ern, Alexandre
30 Lipnikov, Konstantin N.
30 Masud, Arif
29 Luo, Zhendong
29 Oyarzúa, Ricardo
29 Rui, Hongxing
29 Schötzau, Dominik
28 Gastaldi, Lucia
28 Houston, Paul
28 Li, Jian
28 Xu, Jinchao
27 Huang, Yunqing
26 Bassi, Francesco
26 Larson, Mats G.
26 Loula, Abimael Fernando Dourado
26 Mora, David
25 Arnold, Douglas Norman
25 Duan, Huoyuan
24 Farhat, Charbel H.
24 Winther, Ragnar
24 Xie, Xiaoping
23 Auricchio, Ferdinando
23 Bazilevs, Yuri
23 Chung, Tsz Shun Eric
23 Girault, Vivette
23 Hansbo, Peter
23 Nicaise, Serge
23 Oñate Ibáñez de Navarra, Eugenio
23 Perugia, Ilaria
23 Repin, Sergeĭ Igorevich
23 Schöberl, Joachim
22 Bochev, Pavel B.
22 Chen, Shaochun
22 Droniou, Jérôme
22 Fortin, Michel
22 Rodríguez, Rodolfo
22 Rozza, Gianluigi
22 Scovazzi, Guglielmo
22 Valentin, Frédéric
21 Badia, Santiago
21 Burman, Erik
21 Demkowicz, Leszek F.
21 Gudi, Thirupathi
21 Hauke, Guillermo
21 Hu, Jun
21 Linke, Alexander
21 Wriggers, Peter
21 Yang, Suh-Yuh
21 Zikatanov, Ludmil T.
20 Barrenechea, Gabriel R.
20 Bellomo, Nicola
20 Chen, Long
20 Ciarlet, Patrick jun.
20 Giani, Stefano
20 Han, Weimin
20 Lamichhane, Bishnu Prasad
20 Marquez-Duran, Antonio M.
20 Nataraj, Neela
20 Pani, Amiya Kumar
20 Rivière, Beatrice M.
20 Verani, Marco
19 Arbogast, Todd
19 Buffa, Annalisa
19 Chen, Jinru
19 Feng, Minfu
...and 6,748 more Authors
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Cited in 298 Serials

1,051 Computer Methods in Applied Mechanics and Engineering
432 Journal of Computational Physics
358 Journal of Computational and Applied Mathematics
316 Numerische Mathematik
308 Computers & Mathematics with Applications
308 Journal of Scientific Computing
255 Mathematics of Computation
239 International Journal for Numerical Methods in Engineering
193 Applied Numerical Mathematics
192 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
181 Applied Mathematics and Computation
176 Numerical Methods for Partial Differential Equations
139 SIAM Journal on Numerical Analysis
135 Computational Mechanics
117 Computers and Fluids
111 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
109 SIAM Journal on Scientific Computing
106 International Journal for Numerical Methods in Fluids
96 Calcolo
75 Computational Geosciences
61 RAIRO. Modélisation Mathématique et Analyse Numérique
56 Advances in Computational Mathematics
50 Applied Mathematics Letters
46 Numerical Linear Algebra with Applications
46 Comptes Rendus. Mathématique. Académie des Sciences, Paris
45 Communications in Numerical Methods in Engineering
45 Computational Methods in Applied Mathematics
44 Journal of Mathematical Analysis and Applications
41 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
40 Mathematics and Computers in Simulation
37 Numerical Functional Analysis and Optimization
34 Numerical Algorithms
32 Mathematical Methods in the Applied Sciences
31 RAIRO. Analyse Numérique
29 Applied Mathematics and Mechanics. (English Edition)
29 Applications of Mathematics
28 Japan Journal of Industrial and Applied Mathematics
28 Archives of Computational Methods in Engineering
27 Applied Mathematical Modelling
25 BIT
25 Mathematical and Computer Modelling
24 Computing
23 Applicable Analysis
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23 Mathematical Problems in Engineering
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22 Computational and Applied Mathematics
21 Science China. Mathematics
19 International Journal of Computer Mathematics
18 Computing and Visualization in Science
18 Multiscale Modeling & Simulation
18 International Journal of Computational Methods
17 International Journal of Computational Fluid Dynamics
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16 Abstract and Applied Analysis
15 Journal of Differential Equations
15 East Asian Journal on Applied Mathematics
14 Acta Mechanica
13 Archive for Rational Mechanics and Analysis
13 European Journal of Mechanics. A. Solids
13 Nonlinear Analysis. Theory, Methods & Applications
12 COMPEL
12 Russian Journal of Numerical Analysis and Mathematical Modelling
11 Acta Mathematicae Applicatae Sinica. English Series
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11 S\(\vec{\text{e}}\)MA Journal
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9 Transport Theory and Statistical Physics
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 ETNA. Electronic Transactions on Numerical Analysis
9 Engineering Computations
9 Foundations of Computational Mathematics
8 International Journal of Engineering Science
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Journal of Elasticity
8 International Journal of Numerical Methods for Heat & Fluid Flow
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Advances in Difference Equations
8 Frontiers of Mathematics in China
8 GEM - International Journal on Geomathematics
7 Meccanica
7 Computer Aided Geometric Design
7 SIAM Journal on Mathematical Analysis
7 Mathematics and Mechanics of Solids
7 Discrete and Continuous Dynamical Systems. Series B
7 Journal of Systems Science and Complexity
7 Acta Numerica
7 International Journal for Numerical Methods in Biomedical Engineering
6 Communications on Pure and Applied Mathematics
6 Inverse Problems
6 Journal of Fluid Mechanics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Aplikace Matematiky
6 SIAM Journal on Matrix Analysis and Applications
6 Linear Algebra and its Applications
...and 198 more Serials
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Cited in 48 Fields

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2,620 Fluid mechanics (76-XX)
2,322 Partial differential equations (35-XX)
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314 Calculus of variations and optimal control; optimization (49-XX)
279 Optics, electromagnetic theory (78-XX)
147 Biology and other natural sciences (92-XX)
146 Statistical mechanics, structure of matter (82-XX)
130 Geophysics (86-XX)
115 Classical thermodynamics, heat transfer (80-XX)
73 Ordinary differential equations (34-XX)
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47 Operations research, mathematical programming (90-XX)
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33 Systems theory; control (93-XX)
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