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Marini, Luisa Donatella

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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
Documents Indexed: 102 Publications since 1972, including 4 Books
Co-Authors: 46 Co-Authors with 94 Joint Publications
2,649 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 5,398 times in 2,922 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.
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
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
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
175
2013
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
159
2000
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
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
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
An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method. Zbl 0573.65082
Donatella Marini, Luisa
73
1985
Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
72
1989
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
Discontinuous Galerkin methods for advection-diffusion-reaction problems. Zbl 1205.65308
Ayuso, Blanca; Marini, L. Donatella
62
2009
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
60
2006
A relaxation procedure for domain decomposition methods using finite elements. Zbl 0661.65111
Marini, L. D.; Quarteroni, A.
60
1989
Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031
Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A.
59
2005
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
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
Virtual element method for fourth order problems: \(L^2\)-estimates. Zbl 1367.65169
Chinosi, Claudia; Marini, L. Donatella
38
2016
Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109
Brezzi, F.; Marini, D.; Süli, E.
37
2000
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
Mixed finite element methods with continuous stresses. Zbl 0774.73066
Brezzi, Franco; Fortin, Michel; Marini, L. Donatella
35
1993
Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104
Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G.
35
2003
A three-field domain decomposition method. Zbl 0801.65116
Brezzi, F.; Marini, L. D.
33
1994
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
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
Nonconforming locking-free finite elements for Reissner-Mindlin plates. Zbl 1119.74047
Chinosi, C.; Lovadina, C.; Marini, L. D.
21
2006
Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024
Brezzi, F.; Marini, L. D.
20
2002
Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118
Brezzi, Franco; Marini, Donatella
20
2001
Serendipity face and edge VEM spaces. Zbl 1395.65139
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
19
2017
Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042
Brezzi, F.; Houston, P.; Marini, D.; Süli, E.
19
2000
Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051
Brezzi, F.; Fortin, M.; Marini, L. D.
19
2006
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 domain decomposition method for a bonded structure. Zbl 0940.74060
Geymonat, G.; Krasucki, F.; Marini, D.; Vidrascu, M.
18
1998
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
18
2016
On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048
Brezzi, F.; Marini, L. D.
18
1975
Discretization of semiconductor device problems. I. Zbl 1179.82150
Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S.
17
2005
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
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
16
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
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
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
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
Polynomial preserving virtual elements with curved edges. Zbl 1444.65066
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A.
14
2020
New mixed finite element schemes for current continuity equations. Zbl 0721.65075
Marini, Luisa Donatella; Pietra, Paola
12
1990
The three-field formulation for elasticity problems. Zbl 1156.74042
Brezzi, Franco; Marini, Luisa Donatella
12
2005
Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073
Brezzi, F.; Douglas, Jim jun.; Marini, L. D.
12
1985
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
A-posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems. Zbl 1203.65257
Lovadina, Carlo; Marini, L. Donatella
11
2009
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
An iterative procedure for domain decomposition methods: A finite element approach. Zbl 0662.65096
Marini, L. D.; Quarteroni, A.
10
1988
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
8
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.
7
1986
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
\(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095
Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella
6
2012
Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141
Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella
6
2008
Subgrid phenomena and numerical schemes. Zbl 1016.76044
Brezzi, Franco; Marini, Donatella
5
2002
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
A parallel domain reduction method. Zbl 0678.65070
Brezzi, Franco; Douglas, Craig C.; Marini, L. Donatella
4
1989
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
Finite elements and virtual elements on classical meshes. Zbl 1477.65196
Brezzi, Franco; Marini, Luisa Donatella
3
2021
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
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
A monotonic scheme for advection-diffusion problems. Zbl 0870.65101
Brezzi, F.; Marini, D.; Pietra, P.; Russo, A.
2
1996
Implementation of the stabilized three-field formulation. Zbl 1018.65129
Brezzi, Franco; Marini, L. Donatella
1
2001
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
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 II. Zbl 0443.65086
Marini, L. D.
1
1978
On some numerical problems in semiconductor device simulation. Zbl 0732.65112
Brezzi, F.; Marini, L. D.; Markowich, P.; Pietra, P.
1
1991
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
Mixed finite elements in magnetostatics. Zbl 0809.65126
Di Barba, P.; Marini, L. D.; Savini, A.
1
1993
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
Non-matching grids and Lagrange multipliers. Zbl 1066.65139
Bertoluzza, S.; Brezzi, F.; Marini, L. D.; Sangalli, G.
1
2005
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
Implementation of hybrid finite element methods and associated numerical problems. Part I. Zbl 0353.65061
Marini, L. D.
1
1976
Recent results and perspectives for virtual element methods. Zbl 1478.65112
Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D.
1
2021
Finite elements and virtual elements on classical meshes. Zbl 1477.65196
Brezzi, Franco; Marini, Luisa Donatella
3
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
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
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
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 method for fourth order problems: \(L^2\)-estimates. Zbl 1367.65169
Chinosi, Claudia; Marini, L. Donatella
38
2016
Virtual element implementation for general elliptic equations. Zbl 1357.65253
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
18
2016
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
Virtual element and discontinuous Galerkin methods. Zbl 1282.65150
Brezzi, F.; Marini, L. D.
16
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
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.
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
\(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095
Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella
6
2012
The 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
Discontinuous Galerkin methods for advection-diffusion-reaction problems. Zbl 1205.65308
Ayuso, Blanca; Marini, L. Donatella
62
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
11
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
27
2007
Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102
Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E.
60
2006
Nonconforming locking-free finite elements for Reissner-Mindlin plates. Zbl 1119.74047
Chinosi, C.; Lovadina, C.; Marini, L. D.
21
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
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
Nonconforming finite elements for Reissner-Mindlin plates. Zbl 1229.65211
Chinosi, C.; Lovadina, C.; Marini, L. D.
1
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
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.
20
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
20
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
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
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
A domain decomposition method for a bonded structure. Zbl 0940.74060
Geymonat, G.; Krasucki, F.; Marini, D.; Vidrascu, M.
18
1998
A monotonic scheme for advection-diffusion problems. Zbl 0870.65101
Brezzi, F.; Marini, D.; Pietra, P.; Russo, A.
2
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.
33
1994
Mixed finite element methods with continuous stresses. Zbl 0774.73066
Brezzi, Franco; Fortin, Michel; Marini, L. Donatella
35
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.
1
1991
New mixed finite element schemes for current continuity equations. Zbl 0721.65075
Marini, Luisa Donatella; Pietra, Paola
12
1990
Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
72
1989
A relaxation procedure for domain decomposition methods using finite elements. Zbl 0661.65111
Marini, L. D.; Quarteroni, A.
60
1989
Numerical simulation of semiconductor devices. Zbl 0698.76125
Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola
45
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.
10
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
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
8
1987
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
Fixed-point algorithms for stationary flow in porous media. Zbl 0577.76086
Marini, L. D.; Pietra, P.
7
1986
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
505
1985
An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method. Zbl 0573.65082
Donatella Marini, Luisa
73
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.
18
1975
Sul calcolo numerico della soluzione del problema di Dirichlet con dati singolari. Zbl 0358.65092
Brezzi, F.; Marini, L. D.
1
1972
all top 5

Cited by 3,143 Authors

55 Cockburn, Bernardo
53 Beirão da Veiga, Lourenço
49 Antonietti, Paola Francesca
47 Brezzi, Franco
45 Marini, Luisa Donatella
39 Manzini, Gianmarco
34 Ye, Xiu
31 Di Pietro, Daniele Antonio
29 Chen, Zhangxin
29 Houston, Paul
27 Bassi, Francesco
27 Russo, Alessandro
26 Schötzau, Dominik
25 Gatica, Gabriel N.
25 Mu, Lin
24 Dassi, Franco
23 Mora, David
23 Vacca, Giuseppe
23 Verani, Marco
23 Wheeler, Mary Fanett
22 Giani, Stefano
22 Masud, Arif
22 Park, Eun-Jae
22 Yotov, Ivan
21 Feng, Minfu
21 Perugia, Ilaria
21 Wang, Fei
21 Wang, Junping
21 Xu, Jinchao
19 Chen, Yanping
19 Sacco, Riccardo
19 Wriggers, Peter
18 Carstensen, Carsten
18 Crivellini, Andrea
18 Droniou, Jérôme
18 Han, Weimin
18 Lovadina, Carlo
18 Quarteroni, Alfio M.
18 Shu, Chi-Wang
18 Zhang, Shangyou
17 Bazilevs, Yuri
17 Bertoluzza, Silvia
17 Chen, Long
17 Gudi, Thirupathi
17 Huang, Jianguo
17 Hughes, Thomas J. R.
17 Natarajan, Sundararajan
16 Chung, Tsz Shun Eric
16 Dolejší, Vít
16 Hudobivnik, Blaž
16 Mascotto, Lorenzo
15 Brenner, Susanne Cecelia
15 He, Yinnian
15 Huang, Yunqing
15 Rui, Hongxing
14 Colombo, Alessandro G.
14 Ern, Alexandre
14 Rivière, Beatrice M.
14 Zhao, Jikun
14 Zikatanov, Ludmil T.
13 Adak, Dibyendu
13 Arbogast, Todd
13 Artioli, Edoardo
13 Cangiani, Andrea
13 Chen, Shaochun
13 Huang, Xuehai
13 Kanschat, Guido
13 Kumar, Sarvesh
13 Larson, Mats G.
13 Nguyen, Ngoc Cuong
13 Nordström, Jan
13 Ruiz-Baier, Ricardo
13 Scovazzi, Guglielmo
13 van der Vegt, Jaap J. W.
13 Wang, Yanqiu
13 Wihler, Thomas Pascal
13 Zhao, Lina
12 Berrone, Stefano
12 Botti, Lorenzo
12 Burman, Erik
12 Georgoulis, Emmanuil H.
12 Ghidoni, Antonio
12 Kwak, Do Young
12 Lipnikov, Konstantin N.
12 Loula, Abimael Fernando Dourado
12 Mazzieri, Ilario
12 Pani, Amiya Kumar
12 Scialò, Stefano
12 Xie, Xiaoping
11 Badia, Santiago
11 Guo, Hui
11 Hiptmair, Ralf
11 Hsu, Ming-Chen
11 Karasözen, Bülent
11 Li, Jichun
11 Meddahi, Salim
11 Rebay, Stefano
11 Sayas, Francisco-Javier
11 Schütz, Jochen
10 Codina, Ramon
...and 3,043 more Authors
all top 5

Cited in 193 Serials

373 Computer Methods in Applied Mechanics and Engineering
249 Journal of Computational Physics
213 Journal of Scientific Computing
168 Computers & Mathematics with Applications
150 Journal of Computational and Applied Mathematics
117 Mathematics of Computation
102 Numerische Mathematik
92 Applied Numerical Mathematics
86 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
72 SIAM Journal on Numerical Analysis
66 Computers and Fluids
66 SIAM Journal on Scientific Computing
65 Applied Mathematics and Computation
65 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
60 International Journal for Numerical Methods in Engineering
59 Numerical Methods for Partial Differential Equations
54 Calcolo
50 Computational Mechanics
35 Computational Geosciences
29 Advances in Computational Mathematics
25 International Journal for Numerical Methods in Fluids
24 Applied Mathematics Letters
22 Numerical Algorithms
21 Computational Methods in Applied Mathematics
19 RAIRO. Modélisation Mathématique et Analyse Numérique
18 Communications in Computational Physics
14 Mathematics and Computers in Simulation
14 Numerical Functional Analysis and Optimization
13 Advances in Applied Mathematics and Mechanics
13 Communications on Applied Mathematics and Computation
12 Applied Mathematical Modelling
12 International Journal of Numerical Analysis and Modeling
11 Journal of Mathematical Analysis and Applications
11 Japan Journal of Industrial and Applied Mathematics
11 Applications of Mathematics
11 International Journal of Computer Mathematics
11 Computational and Applied Mathematics
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Journal of Numerical Mathematics
10 Communications in Numerical Methods in Engineering
10 Engineering Analysis with Boundary Elements
9 Applicable Analysis
9 BIT
9 COMPEL
9 Numerical Linear Algebra with Applications
9 Archives of Computational Methods in Engineering
9 International Journal of Computational Methods
8 Mathematical Problems in Engineering
8 Journal of Applied Mathematics and Computing
8 Science China. Mathematics
8 SMAI Journal of Computational Mathematics
8 Electronic Research Archive
7 Computing and Visualization in Science
7 Journal of Applied Mathematics
6 Computing
6 ETNA. Electronic Transactions on Numerical Analysis
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Communications in Nonlinear Science and Numerical Simulation
6 Discrete and Continuous Dynamical Systems. Series B
6 East Asian Journal on Applied Mathematics
5 Abstract and Applied Analysis
5 Multiscale Modeling & Simulation
5 Acta Numerica
5 Advances in Difference Equations
5 GEM - International Journal on Geomathematics
4 Mathematical Methods in the Applied Sciences
4 Meccanica
4 RAIRO. Analyse Numérique
4 Applied Mathematics and Mechanics. (English Edition)
4 Computer Aided Geometric Design
4 Mathematical and Computer Modelling
4 Foundations of Computational Mathematics
4 Boundary Value Problems
4 Advances in Mathematical Physics
4 Journal of the Korean Society for Industrial and Applied Mathematics
4 S\(\vec{\text{e}}\)MA Journal
4 Results in Applied Mathematics
3 Acta Mathematicae Applicatae Sinica. English Series
3 Computational Mathematics and Mathematical Physics
3 SIAM Review
3 Vietnam Journal of Mathematics
3 Nonlinear Analysis. Real World Applications
3 Oberwolfach Reports
3 International Journal for Numerical Methods in Biomedical Engineering
3 Journal of Applied Analysis and Computation
2 Computer Physics Communications
2 International Journal of Engineering Science
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 Computational Mathematics
2 Journal of Complexity
2 Science in China. Series A
2 Linear Algebra and its Applications
2 SIAM Journal on Applied Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Applied Mathematics. Series B (English Edition)
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Russian Journal of Numerical Analysis and Mathematical Modelling
...and 93 more Serials
all top 5

Cited in 43 Fields

2,445 Numerical analysis (65-XX)
1,186 Partial differential equations (35-XX)
953 Fluid mechanics (76-XX)
560 Mechanics of deformable solids (74-XX)
130 Optics, electromagnetic theory (78-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
66 Statistical mechanics, structure of matter (82-XX)
62 Geophysics (86-XX)
36 Biology and other natural sciences (92-XX)
31 Classical thermodynamics, heat transfer (80-XX)
24 Potential theory (31-XX)
24 Ordinary differential equations (34-XX)
23 Computer science (68-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Approximations and expansions (41-XX)
16 Integral equations (45-XX)
11 Real functions (26-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Functional analysis (46-XX)
9 Probability theory and stochastic processes (60-XX)
9 Quantum theory (81-XX)
9 Operations research, mathematical programming (90-XX)
7 General and overarching topics; collections (00-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Statistics (62-XX)
5 Systems theory; control (93-XX)
4 Operator theory (47-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Special functions (33-XX)
3 Differential geometry (53-XX)
3 Mechanics of particles and systems (70-XX)
3 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Combinatorics (05-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Manifolds and cell complexes (57-XX)
2 Astronomy and astrophysics (85-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)

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