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Marini, Luisa Donatella

Author ID: marini.luisa-donatella Recent zbMATH articles by "Marini, Luisa Donatella"
Published as: Marini, L. D.; Marini, L. Donatella; Marini, Luisa Donatella; Marini, D.; Marini, Donatella; Donatella Marini, Luisa; Marini, Luisa Donatelia
Homepage: http://arturo.imati.cnr.it/marini/
External Links: ORCID · Google Scholar

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 6,811 times in 3,563 Documents Cited by Year
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella
2002
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
734
2013
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
593
1985
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
374
2014
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
330
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
306
2013
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
224
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.
213
2016
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
185
2014
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
175
2000
Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065
Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella
151
1987
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
129
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.
125
2016
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
87
2004
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
84
2000
An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method. Zbl 0573.65082
Donatella Marini, Luisa
82
1985
Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
79
1989
Discontinuous Galerkin methods for advection-diffusion-reaction problems. Zbl 1205.65308
Ayuso, Blanca; Marini, L. Donatella
75
2009
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
70
2005
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
68
2006
A relaxation procedure for domain decomposition methods using finite elements. Zbl 0661.65111
Marini, L. D.; Quarteroni, A.
65
1989
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
62
2016
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
55
1999
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
53
1998
Numerical simulation of semiconductor devices. Zbl 0698.76125
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
51
1989
Virtual element method for fourth order problems: \(L^2\)-estimates. Zbl 1367.65169
Chinosi, Claudia; Marini, L. Donatella
49
2016
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
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
40
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.
40
2018
A three-field domain decomposition method. Zbl 0801.65116
Brezzi, F.; Marini, L. D.
37
1994
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
Mixed finite element methods with continuous stresses. Zbl 0774.73066
Brezzi, Franco; Fortin, Michel; Marini, L. Donatella
36
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.
36
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
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
30
2007
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
29
2016
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
26
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
24
2018
Nonconforming locking-free finite elements for Reissner-Mindlin plates. Zbl 1119.74047
Chinosi, C.; Lovadina, C.; Marini, L. D.
24
2006
Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024
Brezzi, F.; Marini, L. D.
24
2002
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
23
2017
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
22
2005
Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118
Brezzi, Franco; Marini, Donatella
21
2001
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
21
2000
A domain decomposition method for a bonded structure. Zbl 0940.74060
Geymonat, G.; Krasucki, F.; Marini, D.; Vidrascu, M.
20
1998
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
20
2014
On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048
Brezzi, F.; Marini, L. D.
20
1975
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
20
2014
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
20
2006
Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071
Brezzi, F.; Douglas, J. jun.; Marini, L. D.
19
1986
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
16
2005
Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
15
2009
An abstract theory for mixed approximations of second order elliptic problems. Zbl 0711.65091
Marini, L. D.; Pietra, P.
14
1989
New mixed finite element schemes for current continuity equations. Zbl 0721.65075
Marini, Luisa Donatella; Pietra, Paola
13
1990
An iterative procedure for domain decomposition methods: A finite element approach. Zbl 0662.65096
Marini, L. D.; Quarteroni, A.
12
1988
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
A-posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems. Zbl 1203.65257
Lovadina, Carlo; Marini, L. Donatella
12
2009
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 and iterative solutions of a fourth-order elliptic variational inequality. Zbl 0544.65043
Glowinski, R.; Marini, L. D.; Vidrascu, M.
11
1984
Macro hybrid elements and domain decomposition methods. Zbl 0845.65060
Brezzi, F.; Marini, L. D.
9
1993
Méthodes d’éléments finis mixtes et schéma de Scharfetter-Gummel. (Mixed finite element methods and Scharfetter-Gummel scheme). Zbl 0623.65131
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
9
1987
Mixed finite element approximation of a degenerate elliptic problem. Zbl 0837.65125
Marini, Donatella; Pietra, Paola
8
1995
Fixed-point algorithms for stationary flow in porous media. Zbl 0577.76086
Marini, L. D.; Pietra, P.
8
1986
\(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095
Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella
7
2012
The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case. Zbl 1307.74063
Bathe, Klaus-Jürgen; Brezzi, Franco; Marini, L. Donatella
7
2011
Finite elements and virtual elements on classical meshes. Zbl 1477.65196
Brezzi, Franco; Marini, Luisa Donatella
7
2021
Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
6
2008
New rectangular plate elements based on twist-Kirchhoff theory. Zbl 1230.74170
Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D.
6
2011
Subgrid phenomena and numerical schemes. Zbl 1016.76044
Brezzi, Franco; Marini, Donatella
5
2002
A parallel domain reduction method. Zbl 0678.65070
Brezzi, Franco; Douglas, Craig C.; Marini, L. Donatella
4
1989
A monotonic scheme for advection-diffusion problems. Zbl 0870.65101
Brezzi, F.; Marini, D.; Pietra, P.; Russo, A.
4
1996
On an equilibrium finite element method for plate bending problems. Zbl 0456.73062
Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A.
4
1980
Discontinuous Galerkin elements for Reissner-Mindlin plates. Zbl 1155.74046
Marini, L. D.
3
2008
Recent results and perspectives for virtual element methods. Zbl 1478.65112
Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D.
3
2021
Mixed and hybrid exponential fitting schemes for the drift-diffusion equations in semiconductors. Zbl 0706.65132
Brezzi, F.; Marini, L. D.; Pietra, P.
2
1989
On some numerical problems in semiconductor device simulation. Zbl 0732.65112
Brezzi, F.; Marini, L. D.; Markowich, P.; Pietra, P.
2
1991
Accurate computation of electric field in reverse-biased semiconductor devices: A mixed finite-element approach. Zbl 0619.65120
Marini, L. D.; Savini, A.
2
1984
The virtual element method. Zbl 07736655
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro
2
2023
Non-matching grids and Lagrange multipliers. Zbl 1066.65139
Bertoluzza, S.; Brezzi, F.; Marini, L. D.; Sangalli, G.
1
2005
Mixed exponential fitting schemes for current continuity equations. Zbl 0800.65026
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
1
1989
Finite element approximation of a degenerate eigenvalue problem. Zbl 0795.65070
Marini, Donatella; Pietra, Paola
1
1993
Implementation of hybrid finite element methods and associated numerical problems. Part I. Zbl 0353.65061
Marini, L. D.
1
1976
Sul calcolo numerico della soluzione del problema di Dirichlet con dati singolari. Zbl 0358.65092
Brezzi, F.; Marini, L. D.
1
1972
A survey of DG methods for elliptic problems. Zbl 1043.65129
Marini, L. D.
1
2003
Mixed finite elements in magnetostatics. Zbl 0809.65126
Di Barba, P.; Marini, L. D.; Savini, A.
1
1993
A quick tutorial on DG methods for elliptic problems. Zbl 1282.65149
Brezzi, F.; Marini, L. D.
1
2014
Nonconforming finite elements for Reissner-Mindlin plates. Zbl 1229.65211
Chinosi, C.; Lovadina, C.; Marini, L. D.
1
2005
Implementation of hybrid finite element methods and associated numerical problems. Part II. Zbl 0443.65086
Marini, L. D.
1
1978
Recent developments in non-standard finite element methods. Zbl 0453.73074
Brezzi, F.; Chinosi, C.; Della Croce, L.; Marini, L. D.; Quarteroni, A.; Sacchi, G.; Scapolla, T.
1
1979
Implementation of the stabilized three-field formulation. Zbl 1018.65129
Brezzi, Franco; Marini, L. Donatella
1
2001
Singular perturbation problems in semiconductor devices. Zbl 0617.35010
Brezzi, Franco; Capelo, Antonio; Marini, Luisa Donatella
1
1986
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
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
Recent results and perspectives for virtual element methods. Zbl 1478.65112
Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D.
3
2021
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
26
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.
40
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.
36
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
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
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.
213
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
129
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.
125
2016
Serendipity nodal VEM spaces. Zbl 1390.76292
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
62
2016
Virtual element method for fourth order problems: \(L^2\)-estimates. Zbl 1367.65169
Chinosi, Claudia; Marini, L. Donatella
49
2016
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
29
2016
The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336
Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A.
374
2014
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
185
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
20
2014
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
20
2014
A quick tutorial on DG methods for elliptic problems. Zbl 1282.65149
Brezzi, F.; Marini, L. D.
1
2014
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
734
2013
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
330
2013
Virtual elements for linear elasticity problems. Zbl 1268.74010
Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.
306
2013
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
224
2013
\(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095
Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella
7
2012
The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case. Zbl 1307.74063
Bathe, Klaus-Jürgen; Brezzi, Franco; Marini, L. Donatella
7
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.
6
2011
Discontinuous Galerkin methods for advection-diffusion-reaction problems. Zbl 1205.65308
Ayuso, Blanca; Marini, L. Donatella
75
2009
Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
15
2009
A-posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems. Zbl 1203.65257
Lovadina, Carlo; Marini, L. Donatella
12
2009
Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
6
2008
Discontinuous Galerkin elements for Reissner-Mindlin plates. Zbl 1155.74046
Marini, L. D.
3
2008
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
30
2007
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
68
2006
Nonconforming locking-free finite elements for Reissner-Mindlin plates. Zbl 1119.74047
Chinosi, C.; Lovadina, C.; Marini, L. D.
24
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
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
70
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
16
2005
Non-matching grids and Lagrange multipliers. Zbl 1066.65139
Bertoluzza, S.; Brezzi, F.; Marini, L. D.; Sangalli, G.
1
2005
Nonconforming finite elements for Reissner-Mindlin plates. Zbl 1229.65211
Chinosi, C.; Lovadina, C.; Marini, L. D.
1
2005
Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117
Brezzi, F.; Marini, L. D.; Süli, E.
87
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
A survey of DG methods for elliptic problems. Zbl 1043.65129
Marini, L. D.
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.
24
2002
Subgrid phenomena and numerical schemes. Zbl 1016.76044
Brezzi, Franco; Marini, Donatella
5
2002
Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118
Brezzi, Franco; Marini, Donatella
21
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.
175
2000
Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127
Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella
84
2000
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
40
2000
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
21
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
55
1999
Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113
Brezzi, F.; Marini, D.; Russo, A.
53
1998
A domain decomposition method for a bonded structure. Zbl 0940.74060
Geymonat, G.; Krasucki, F.; Marini, D.; Vidrascu, M.
20
1998
A monotonic scheme for advection-diffusion problems. Zbl 0870.65101
Brezzi, F.; Marini, D.; Pietra, P.; Russo, A.
4
1996
Mixed finite element approximation of a degenerate elliptic problem. Zbl 0837.65125
Marini, Donatella; Pietra, Paola
8
1995
A three-field domain decomposition method. Zbl 0801.65116
Brezzi, F.; Marini, L. D.
37
1994
Mixed finite element methods with continuous stresses. Zbl 0774.73066
Brezzi, Franco; Fortin, Michel; Marini, L. Donatella
36
1993
Macro hybrid elements and domain decomposition methods. Zbl 0845.65060
Brezzi, F.; Marini, L. D.
9
1993
Finite element approximation of a degenerate eigenvalue problem. Zbl 0795.65070
Marini, Donatella; Pietra, Paola
1
1993
Mixed finite elements in magnetostatics. Zbl 0809.65126
Di Barba, P.; Marini, L. D.; Savini, A.
1
1993
On some numerical problems in semiconductor device simulation. Zbl 0732.65112
Brezzi, F.; Marini, L. D.; Markowich, P.; Pietra, P.
2
1991
New mixed finite element schemes for current continuity equations. Zbl 0721.65075
Marini, Luisa Donatella; Pietra, Paola
13
1990
Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
79
1989
A relaxation procedure for domain decomposition methods using finite elements. Zbl 0661.65111
Marini, L. D.; Quarteroni, A.
65
1989
Numerical simulation of semiconductor devices. Zbl 0698.76125
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
51
1989
An abstract theory for mixed approximations of second order elliptic problems. Zbl 0711.65091
Marini, L. D.; Pietra, P.
14
1989
A parallel domain reduction method. Zbl 0678.65070
Brezzi, Franco; Douglas, Craig C.; Marini, L. Donatella
4
1989
Mixed and hybrid exponential fitting schemes for the drift-diffusion equations in semiconductors. Zbl 0706.65132
Brezzi, F.; Marini, L. D.; Pietra, P.
2
1989
Mixed exponential fitting schemes for current continuity equations. Zbl 0800.65026
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
1
1989
An iterative procedure for domain decomposition methods: A finite element approach. Zbl 0662.65096
Marini, L. D.; Quarteroni, A.
12
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
151
1987
Méthodes d’éléments finis mixtes et schéma de Scharfetter-Gummel. (Mixed finite element methods and Scharfetter-Gummel scheme). Zbl 0623.65131
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
9
1987
Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071
Brezzi, F.; Douglas, J. jun.; Marini, L. D.
19
1986
Fixed-point algorithms for stationary flow in porous media. Zbl 0577.76086
Marini, L. D.; Pietra, P.
8
1986
Singular perturbation problems in semiconductor devices. Zbl 0617.35010
Brezzi, Franco; Capelo, Antonio; Marini, Luisa Donatella
1
1986
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
593
1985
An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method. Zbl 0573.65082
Donatella Marini, Luisa
82
1985
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 and iterative solutions of a fourth-order elliptic variational inequality. Zbl 0544.65043
Glowinski, R.; Marini, L. D.; Vidrascu, M.
11
1984
Accurate computation of electric field in reverse-biased semiconductor devices: A mixed finite-element approach. Zbl 0619.65120
Marini, L. D.; Savini, A.
2
1984
On an equilibrium finite element method for plate bending problems. Zbl 0456.73062
Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A.
4
1980
Recent developments in non-standard finite element methods. Zbl 0453.73074
Brezzi, F.; Chinosi, C.; Della Croce, L.; Marini, L. D.; Quarteroni, A.; Sacchi, G.; Scapolla, T.
1
1979
Implementation of hybrid finite element methods and associated numerical problems. Part II. Zbl 0443.65086
Marini, L. D.
1
1978
Implementation of hybrid finite element methods and associated numerical problems. Part I. Zbl 0353.65061
Marini, L. D.
1
1976
On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048
Brezzi, F.; Marini, L. D.
20
1975
Sul calcolo numerico della soluzione del problema di Dirichlet con dati singolari. Zbl 0358.65092
Brezzi, F.; Marini, L. D.
1
1972
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Cited by 3,785 Authors

63 Beirão da Veiga, Lourenço
60 Antonietti, Paola Francesca
57 Cockburn, Bernardo
50 Brezzi, Franco
48 Marini, Luisa Donatella
47 Manzini, Gianmarco
39 Ye, Xiu
36 Di Pietro, Daniele Antonio
35 Chen, Zhangxin
34 Russo, Alessandro
31 Dassi, Franco
31 Mora, David
30 Bassi, Francesco
30 Wang, Fei
29 Houston, Paul
29 Verani, Marco
28 Wang, Junping
27 Mu, Lin
26 Natarajan, Sundararajan
26 Schötzau, Dominik
26 Wriggers, Peter
26 Yotov, Ivan
26 Zhao, Jikun
25 Gatica, Gabriel N.
25 Masud, Arif
25 Park, Eun-Jae
24 Chen, Yanping
24 Droniou, Jérôme
24 Giani, Stefano
24 Lovadina, Carlo
24 Mascotto, Lorenzo
24 Vacca, Giuseppe
24 Wheeler, Mary Fanett
23 Feng, Minfu
23 Zhang, Shangyou
22 Perugia, Ilaria
22 Rui, Hongxing
21 Quarteroni, Alfio M.
21 Xu, Jinchao
20 Adak, Dibyendu
20 Han, Weimin
20 Huang, Jianguo
20 Huang, Yunqing
20 Hudobivnik, Blaž
20 Sacco, Riccardo
19 Artioli, Edoardo
19 Berrone, Stefano
19 Carstensen, Carsten
19 Chen, Long
19 Chung, Tsz Shun Eric
19 Gudi, Thirupathi
19 Scovazzi, Guglielmo
18 Bertoluzza, Silvia
18 Brenner, Susanne Cecelia
18 Crivellini, Andrea
18 He, Yinnian
18 Huang, Xuehai
18 Hughes, Thomas J. R.
18 Kumar, Sarvesh
18 Nordström, Jan
18 Shu, Chi-Wang
18 Zhao, Lina
18 Zikatanov, Ludmil T.
17 Bazilevs, Yuri
17 Dolejší, Vít
17 Kwak, Do Young
17 Wang, Gang
16 Cangiani, Andrea
16 Chen, Shaochun
16 Colombo, Alessandro G.
16 Ern, Alexandre
16 Georgoulis, Emmanuil H.
16 Ruiz-Baier, Ricardo
16 Wang, Yanqiu
15 Arbogast, Todd
15 Devloo, Philippe Remy Bernard
15 Ghidoni, Antonio
15 Mazzieri, Ilario
15 Rivière, Beatrice M.
15 Sukumar, Natarajan
15 Xie, Xiaoping
14 Hu, Jun
14 Lipnikov, Konstantin N.
14 Loula, Abimael Fernando Dourado
14 Nguyen, Ngoc Cuong
14 Paulino, Glaucio H.
14 Rebay, Stefano
14 Schöberl, Joachim
14 Sung, Li-Yeng
14 Velásquez, Iván G.
14 Wang, Feng
14 Wihler, Thomas Pascal
14 Zhang, Bei
13 Badia, Santiago
13 Borio, Andrea
13 Botti, Lorenzo
13 Burman, Erik
13 Fumagalli, Alessio
13 Gomes, Sônia Maria
13 Kanschat, Guido
...and 3,685 more Authors
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Cited in 203 Serials

448 Computer Methods in Applied Mechanics and Engineering
293 Journal of Computational Physics
250 Journal of Scientific Computing
221 Computers & Mathematics with Applications
176 Journal of Computational and Applied Mathematics
121 Mathematics of Computation
120 International Journal for Numerical Methods in Engineering
110 Applied Numerical Mathematics
104 Numerische Mathematik
97 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
91 Numerical Methods for Partial Differential Equations
90 SIAM Journal on Numerical Analysis
79 SIAM Journal on Scientific Computing
79 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
77 Computers and Fluids
67 Applied Mathematics and Computation
62 Calcolo
59 Computational Mechanics
39 Advances in Computational Mathematics
37 Computational Geosciences
34 International Journal for Numerical Methods in Fluids
30 Numerical Algorithms
26 Applied Mathematics Letters
26 Computational Methods in Applied Mathematics
21 Communications in Computational Physics
20 Mathematics and Computers in Simulation
19 RAIRO. Modélisation Mathématique et Analyse Numérique
19 Engineering Analysis with Boundary Elements
18 International Journal of Computer Mathematics
18 Advances in Applied Mathematics and Mechanics
16 Computational and Applied Mathematics
16 International Journal of Numerical Analysis and Modeling
15 Numerical Linear Algebra with Applications
15 Communications in Nonlinear Science and Numerical Simulation
15 Communications on Applied Mathematics and Computation
14 Numerical Functional Analysis and Optimization
13 Mathematical Methods in the Applied Sciences
13 Japan Journal of Industrial and Applied Mathematics
13 Journal of Numerical Mathematics
12 Applied Mathematical Modelling
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 SMAI Journal of Computational Mathematics
11 Journal of Mathematical Analysis and Applications
11 Applications of Mathematics
10 Applicable Analysis
10 BIT
10 Communications in Numerical Methods in Engineering
10 International Journal of Computational Methods
9 COMPEL
9 Archives of Computational Methods in Engineering
9 Science China. Mathematics
8 Computer Physics Communications
8 Mathematical Problems in Engineering
8 Journal of Applied Mathematics and Computing
8 East Asian Journal on Applied Mathematics
8 Electronic Research Archive
7 Computing and Visualization in Science
7 Discrete and Continuous Dynamical Systems. Series B
7 Journal of Applied Mathematics
7 Acta Numerica
6 Computing
6 Meccanica
6 Journal of Computational Mathematics
6 ETNA. Electronic Transactions on Numerical Analysis
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Foundations of Computational Mathematics
6 Multiscale Modeling & Simulation
6 GEM - International Journal on Geomathematics
5 Computer Aided Geometric Design
5 Computational Mathematics and Mathematical Physics
5 Abstract and Applied Analysis
5 Nonlinear Analysis. Real World Applications
5 Advances in Difference Equations
5 Journal of the Korean Society for Industrial and Applied Mathematics
5 Results in Applied Mathematics
4 RAIRO. Analyse Numérique
4 Applied Mathematics and Mechanics. (English Edition)
4 Mathematical and Computer Modelling
4 SIAM Review
4 International Journal of Computational Fluid Dynamics
4 Vietnam Journal of Mathematics
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Oberwolfach Reports
4 Boundary Value Problems
4 Advances in Mathematical Physics
4 S\(\vec{\text{e}}\)MA Journal
3 ACM Transactions on Mathematical Software
3 Acta Mathematicae Applicatae Sinica. English Series
3 Mathematical Modelling and Analysis
3 International Journal for Numerical Methods in Biomedical Engineering
3 Journal of Applied Analysis and Computation
2 International Journal of Engineering Science
2 Journal of Mathematical Biology
2 Mathematical Biosciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Journal of Optimization Theory and Applications
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Journal of Complexity
2 SIAM Journal on Matrix Analysis and Applications
...and 103 more Serials
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Cited in 49 Fields

3,033 Numerical analysis (65-XX)
1,437 Partial differential equations (35-XX)
1,153 Fluid mechanics (76-XX)
714 Mechanics of deformable solids (74-XX)
157 Optics, electromagnetic theory (78-XX)
113 Calculus of variations and optimal control; optimization (49-XX)
79 Statistical mechanics, structure of matter (82-XX)
72 Geophysics (86-XX)
46 Biology and other natural sciences (92-XX)
43 Classical thermodynamics, heat transfer (80-XX)
32 Approximations and expansions (41-XX)
31 Potential theory (31-XX)
29 Global analysis, analysis on manifolds (58-XX)
24 Ordinary differential equations (34-XX)
22 Computer science (68-XX)
18 Integral equations (45-XX)
13 Real functions (26-XX)
11 Probability theory and stochastic processes (60-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Functional analysis (46-XX)
10 Operator theory (47-XX)
10 Operations research, mathematical programming (90-XX)
9 General and overarching topics; collections (00-XX)
8 Quantum theory (81-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Systems theory; control (93-XX)
6 Differential geometry (53-XX)
6 Statistics (62-XX)
5 Information and communication theory, circuits (94-XX)
4 Special functions (33-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Relativity and gravitational theory (83-XX)
3 History and biography (01-XX)
3 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Mechanics of particles and systems (70-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Combinatorics (05-XX)
2 Astronomy and astrophysics (85-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

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