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Franca, Leopoldo Luis Cabo Penna

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Author ID: franca.leopoldo-penna Recent zbMATH articles by "Franca, Leopoldo Luis Cabo Penna"
Published as: Franca, Leopoldo P.; Franca, L. P.; Franca, Leopoldo Luis Cabo Penna; Franca, Leopoldo Penna; Franca, Leopold P.
External Links: MGP · Wikidata · dblp
Documents Indexed: 75 Publications since 1986
Biographic References: 3 Publications

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Citations contained in zbMATH Open

73 Publications have been cited 4,143 times in 2,014 Documents Cited by Year
A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Zbl 0622.76077
Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc
560
1986
A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100
Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M.
474
1989
Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048
Franca, Leopoldo P.; Frey, Sérgio L.
253
1992
Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040
Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R.
237
1992
A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. Zbl 0635.76067
Hughes, Thomas J. R.; Franca, Leopoldo P.
175
1987
A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Zbl 0572.76068
Hughes, T. J. R.; Franca, L. P.; Mallet, M.
172
1986
The discontinuous enrichment method. Zbl 1002.76065
Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P.
167
2001
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
161
1992
Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033
Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P.
151
1993
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
138
1997
Error analysis of some Galerkin least squares methods for the elasticity equations. Zbl 0759.73055
Franca, Leopoldo P.; Stenberg, Rolf
127
1991
Bubble functions prompt unusual stabilized finite element methods. Zbl 1067.76567
Franca, Leopoldo P.; Farhat, Charbel
107
1995
A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems. Zbl 0635.76066
Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel
94
1987
On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation. Zbl 0976.76038
Franca, L. P.; Valentin, F.
91
2000
Two classes of mixed finite element methods. Zbl 0629.73053
Franca, Leopoldo P.; Hughes, Thomas J. R.
83
1988
Residual-free bubbles for the Helmholtz equation. Zbl 0897.73062
Franca, Leopoldo P.; Farhat, Charbel; Macedo, Antonini P.; Lesoinne, Michel
76
1997
The Galerkin gradient least-squares method. Zbl 0699.65077
Franca, Leopoldo Penna; Dutra do Carmo, Eduardo Gomes
60
1989
Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations. Zbl 0771.76037
Franca, Leopoldo P.; Hughes, Thomas J. R.
59
1993
Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
57
1998
Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles. Zbl 0903.65082
Franca, L. P.; Russo, A.
56
1996
Some new classes of mixed finite element methods. Zbl 0651.65078
Hughes, T. J. R.; Franca, L. P.
55
1988
Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions. Zbl 1091.76034
Franca, Leopoldo P.; Madureira, Alexandre L.; Valentin, Frederic
47
2005
On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method. Zbl 0934.65127
Franca, L. P.; Nesliturk, A.; Stynes, M.
46
1998
Stabilized finite element methods. Zbl 1189.76339
Franca, Leopoldo P.; Hughes, Thomas J. R.; Stenberg, Rolf
44
1993
Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows. Zbl 0771.76033
Behr, Marek A.; Franca, Leopoldo P.; Tezduyar, Tayfun E.
41
1993
A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation. Zbl 0656.73036
Franca, Leopoldo P.; Hughes, Thomas J. R.; Loula, Abimael F. D.; Miranda, Isidoro
39
1988
Revisiting stabilized finite element methods for the advective-diffusive equation. Zbl 1122.76054
Franca, Leopoldo P.; Hauke, Guillermo; Masud, Arif
38
2006
On a two-level finite element method for the incompressible Navier-Stokes equations. Zbl 1002.76066
Franca, L. P.; Nesliturk, A.
36
2001
Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces. Zbl 0611.73077
Hughes, Thomas J. R.; Franca, Leopoldo P.
33
1988
Mixed Petrov-Galerkin methods for the Timoshenko beam problem. Zbl 0607.73076
Loula, Abimael F. D.; Hughes, Thomas J. R.; Franca, Leopoldo P.; Miranda, Isidoro
30
1987
A two-level finite element method and its application to the Helmholtz equation. Zbl 0935.65117
Franca, Leopoldo P.; Macedo, Antonini P.
29
1998
Unlocking with residual-free bubbles. Zbl 0890.73064
Franca, Leopoldo P.; Russo, Alessandro
26
1997
Residual-free bubbles for embedded Dirichlet problems. Zbl 1197.65180
Dolbow, J. E.; Franca, L. P.
26
2008
Stability, convergence, and accuracy of a new finite element method for the circular arch problem. Zbl 0607.73077
Loula, Abimael F. D.; Franca, Leopoldo P.; Hughes, Thomas J. R.; Miranda, Isodora
23
1987
Unusual stabilized finite element methods and residual free bubbles. Zbl 0904.76045
Franca, Leopoldo P.; Farhat, Charbel; Lesoinne, Michel; Russo, Alessandro
21
1998
Stabilization techniques and subgrid scales capturing. Zbl 0881.65100
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
20
1997
Approximation of the Stokes problem by residual-free macro bubbles. Zbl 0869.76038
Franca, L. P.; Russo, A.
19
1996
Mass lumping emanating from residual-free bubbles. Zbl 0883.65086
Franca, Leopoldo P.; Russo, Alessandro
16
1997
Element diameter free stability parameters for stabilized methods applied to fluids. Zbl 0776.76049
Franca, Leopoldo P.; Madureira, Alexandre L.
15
1993
Enriched finite element methods for unsteady reaction-diffusion problems. Zbl 1105.65347
Franca, L. P.; Ramalho, J. V. A.; Valentin, F.
15
2006
Convergence analysis of a multiscale finite element method for singularly perturbed problems. Zbl 1091.65108
Franca, Leopoldo P.; Madureira, Alexandre L.; Tobiska, Lutz; Valentin, Frédéric
15
2005
A hierarchical multiscale framework for problems with multiscale source terms. Zbl 1194.74557
Masud, Arif; Franca, Leopoldo P.
15
2008
Streamline design of stability parameters for advection-diffusion problems. Zbl 0985.65146
Harari, Isaac; Franca, Leopold P.; Oliveira, Saulo P.
14
2001
Pressure bubbles stabilization features in the Stokes problem. Zbl 1029.76032
Franca, Leopoldo P.; Oliveira, Saulo P.
14
2003
Petrov-Galerkin formulations of the Timoshenko beam problem. Zbl 0645.73030
Loula, Abimael F. D.; Hughes, Thomas J. R.; Franca, Leopoldo P.
14
1987
A new mixed finite element method for the Timoshenko beam problem. Zbl 0779.73059
Franca, Leopoldo P.; Loula, Abimael F. D.
13
1991
A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation. Zbl 1173.76329
Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric
13
2007
Stability of the residual free bubble method for bilinear finite elements on rectangular grids. Zbl 1005.65122
Franca, Leopoldo P.; Tobiska, Lutz
11
2002
Combining stabilized finite element methods. Zbl 1005.65128
Valentin, Frederic G. C.; Franca, Leopoldo P.
10
1995
Refining the submesh strategy in the two-level finite element method: Application to the advection-diffusion equation. Zbl 1016.76047
Franca, Leopoldo P.; Hwang, Feng-Nan
10
2002
Analysis and finite element approximation of compressible and incompressible linear isotropic elasticity based upon a variational principle. Zbl 0688.73044
Franca, Leopoldo P.
9
1989
Stabilization arising from PGEM: A review and further developments. Zbl 1165.76021
Araya, Rodolfo; Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric
8
2009
An algorithm to compute the square root of a 3\(\times 3\) positive definite matrix. Zbl 0686.65019
Franca, L. P.
8
1989
New finite element methods for the compressible Euler and Navier-Stokes equations. Zbl 0678.76069
Hughes, T. J. R.; Mallet, M.; Franca, L. P.
7
1986
On mixed finite element methods for axisymmetric shell analysis. Zbl 0691.73030
Loula, Abimael F. D.; Miranda, Isidoro; Hughes, Thomas J. R.; Franca, Leopoldo P.
7
1989
An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040
Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz
6
2007
Recovering SUPG using Petrov-Galerkin formulations enriched with adjoint residual-free bubbles. Zbl 0977.76044
Franca, L. P.; Russo, A.
6
2000
A symmetric nodal conservative finite element method for the Darcy equation. Zbl 1410.76153
Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric
6
2009
On the limitations of bubble functions. Zbl 0847.76033
Franca, Leopoldo P.; Farhat, Charbel
5
1994
A convergence analysis of a stabilized method for the Stokes flow. Zbl 0737.76044
Franca, L. P.; Filho, J. Karam; Loula, A. F. D.; Stenberg, R.
5
1991
On a residual local projection method for the Darcy equation. Zbl 1171.76026
Franca, Leopoldo P.; Harder, Christopher; Valentin, Frédéric
4
2009
Incompressible flows based upon stabilized methods. Zbl 0873.76044
Franca, Leopoldo P.
3
1994
A note on a recent study of stabilized element computations for heat conduction. Zbl 1115.80321
Harari, I.; Frey, S.; Franca, L. P.
3
2002
Evaluating the LCD algorithm for solving linear systems of equations arising from implicit SUPG formulation of compressible flows. Zbl 1060.76568
Catabriga, Lucia; Coutinho, Alvaro L. G. A.; Franca, Leopoldo P.
3
2003
Numerical multiscale methods. Zbl 1412.65206
Coutinho, A. L. G. A.; Franca, L. P.; Valentin, F.
2
2012
Special issue: Advances in stabilized methods in computational mechanics. Zbl 0929.00026
Franca, Leopoldo P. (ed.)
2
1998
On the superconvergence of the satisfying-Babuska-Brezzi method. Zbl 0723.65054
Franca, Leopoldo P.
2
1990
Residual-free bubbles for a singular perturbation equation. Zbl 1043.65123
Asensio, M. I.; Franca, L. P.; Russo, A.
2
2003
A stabilized method for transient transport equations. Zbl 1301.76050
Henao, Carlos A. A.; Coutinho, Alvaro L. G. A.; Franca, Leopoldo P.
2
2010
Convergence of transverse shear stresses in the finite element analysis of plates. Zbl 0633.73080
Hughes, Thomas J. R.; Franca, Leopoldo P.
2
1988
Finite element approximation of a new variational principle for compressible and incompressible linear isotropic elasticity. Zbl 0749.73076
Franca, Leopoldo P.; Stenberg, Rolf
2
1989
Continuous Q1-Q1 Stokes elements stabilized with non-conforming null edge average velocity functions. Zbl 1134.76026
Franca, Leopoldo P.; Oliveira, Saulo P.; Sarkis, Marcus
2
2007
An overview of the residual-free-bubbles method. Zbl 0914.73056
Franca, Leopoldo P.
1
1997
Numerical multiscale methods. Zbl 1412.65206
Coutinho, A. L. G. A.; Franca, L. P.; Valentin, F.
2
2012
A stabilized method for transient transport equations. Zbl 1301.76050
Henao, Carlos A. A.; Coutinho, Alvaro L. G. A.; Franca, Leopoldo P.
2
2010
Stabilization arising from PGEM: A review and further developments. Zbl 1165.76021
Araya, Rodolfo; Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric
8
2009
A symmetric nodal conservative finite element method for the Darcy equation. Zbl 1410.76153
Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric
6
2009
On a residual local projection method for the Darcy equation. Zbl 1171.76026
Franca, Leopoldo P.; Harder, Christopher; Valentin, Frédéric
4
2009
Residual-free bubbles for embedded Dirichlet problems. Zbl 1197.65180
Dolbow, J. E.; Franca, L. P.
26
2008
A hierarchical multiscale framework for problems with multiscale source terms. Zbl 1194.74557
Masud, Arif; Franca, Leopoldo P.
15
2008
A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation. Zbl 1173.76329
Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric
13
2007
An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040
Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz
6
2007
Continuous Q1-Q1 Stokes elements stabilized with non-conforming null edge average velocity functions. Zbl 1134.76026
Franca, Leopoldo P.; Oliveira, Saulo P.; Sarkis, Marcus
2
2007
Revisiting stabilized finite element methods for the advective-diffusive equation. Zbl 1122.76054
Franca, Leopoldo P.; Hauke, Guillermo; Masud, Arif
38
2006
Enriched finite element methods for unsteady reaction-diffusion problems. Zbl 1105.65347
Franca, L. P.; Ramalho, J. V. A.; Valentin, F.
15
2006
Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions. Zbl 1091.76034
Franca, Leopoldo P.; Madureira, Alexandre L.; Valentin, Frederic
47
2005
Convergence analysis of a multiscale finite element method for singularly perturbed problems. Zbl 1091.65108
Franca, Leopoldo P.; Madureira, Alexandre L.; Tobiska, Lutz; Valentin, Frédéric
15
2005
Pressure bubbles stabilization features in the Stokes problem. Zbl 1029.76032
Franca, Leopoldo P.; Oliveira, Saulo P.
14
2003
Evaluating the LCD algorithm for solving linear systems of equations arising from implicit SUPG formulation of compressible flows. Zbl 1060.76568
Catabriga, Lucia; Coutinho, Alvaro L. G. A.; Franca, Leopoldo P.
3
2003
Residual-free bubbles for a singular perturbation equation. Zbl 1043.65123
Asensio, M. I.; Franca, L. P.; Russo, A.
2
2003
Stability of the residual free bubble method for bilinear finite elements on rectangular grids. Zbl 1005.65122
Franca, Leopoldo P.; Tobiska, Lutz
11
2002
Refining the submesh strategy in the two-level finite element method: Application to the advection-diffusion equation. Zbl 1016.76047
Franca, Leopoldo P.; Hwang, Feng-Nan
10
2002
A note on a recent study of stabilized element computations for heat conduction. Zbl 1115.80321
Harari, I.; Frey, S.; Franca, L. P.
3
2002
The discontinuous enrichment method. Zbl 1002.76065
Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P.
167
2001
On a two-level finite element method for the incompressible Navier-Stokes equations. Zbl 1002.76066
Franca, L. P.; Nesliturk, A.
36
2001
Streamline design of stability parameters for advection-diffusion problems. Zbl 0985.65146
Harari, Isaac; Franca, Leopold P.; Oliveira, Saulo P.
14
2001
On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation. Zbl 0976.76038
Franca, L. P.; Valentin, F.
91
2000
Recovering SUPG using Petrov-Galerkin formulations enriched with adjoint residual-free bubbles. Zbl 0977.76044
Franca, L. P.; Russo, A.
6
2000
Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126
Brezzi, F.; Franca, L. P.; Russo, A.
57
1998
On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method. Zbl 0934.65127
Franca, L. P.; Nesliturk, A.; Stynes, M.
46
1998
A two-level finite element method and its application to the Helmholtz equation. Zbl 0935.65117
Franca, Leopoldo P.; Macedo, Antonini P.
29
1998
Unusual stabilized finite element methods and residual free bubbles. Zbl 0904.76045
Franca, Leopoldo P.; Farhat, Charbel; Lesoinne, Michel; Russo, Alessandro
21
1998
Special issue: Advances in stabilized methods in computational mechanics. Zbl 0929.00026
Franca, Leopoldo P.
2
1998
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
138
1997
Residual-free bubbles for the Helmholtz equation. Zbl 0897.73062
Franca, Leopoldo P.; Farhat, Charbel; Macedo, Antonini P.; Lesoinne, Michel
76
1997
Unlocking with residual-free bubbles. Zbl 0890.73064
Franca, Leopoldo P.; Russo, Alessandro
26
1997
Stabilization techniques and subgrid scales capturing. Zbl 0881.65100
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
20
1997
Mass lumping emanating from residual-free bubbles. Zbl 0883.65086
Franca, Leopoldo P.; Russo, Alessandro
16
1997
An overview of the residual-free-bubbles method. Zbl 0914.73056
Franca, Leopoldo P.
1
1997
Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles. Zbl 0903.65082
Franca, L. P.; Russo, A.
56
1996
Approximation of the Stokes problem by residual-free macro bubbles. Zbl 0869.76038
Franca, L. P.; Russo, A.
19
1996
Bubble functions prompt unusual stabilized finite element methods. Zbl 1067.76567
Franca, Leopoldo P.; Farhat, Charbel
107
1995
Combining stabilized finite element methods. Zbl 1005.65128
Valentin, Frederic G. C.; Franca, Leopoldo P.
10
1995
On the limitations of bubble functions. Zbl 0847.76033
Franca, Leopoldo P.; Farhat, Charbel
5
1994
Incompressible flows based upon stabilized methods. Zbl 0873.76044
Franca, Leopoldo P.
3
1994
Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033
Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P.
151
1993
Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations. Zbl 0771.76037
Franca, Leopoldo P.; Hughes, Thomas J. R.
59
1993
Stabilized finite element methods. Zbl 1189.76339
Franca, Leopoldo P.; Hughes, Thomas J. R.; Stenberg, Rolf
44
1993
Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows. Zbl 0771.76033
Behr, Marek A.; Franca, Leopoldo P.; Tezduyar, Tayfun E.
41
1993
Element diameter free stability parameters for stabilized methods applied to fluids. Zbl 0776.76049
Franca, Leopoldo P.; Madureira, Alexandre L.
15
1993
Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048
Franca, Leopoldo P.; Frey, Sérgio L.
253
1992
Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040
Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R.
237
1992
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
161
1992
Error analysis of some Galerkin least squares methods for the elasticity equations. Zbl 0759.73055
Franca, Leopoldo P.; Stenberg, Rolf
127
1991
A new mixed finite element method for the Timoshenko beam problem. Zbl 0779.73059
Franca, Leopoldo P.; Loula, Abimael F. D.
13
1991
A convergence analysis of a stabilized method for the Stokes flow. Zbl 0737.76044
Franca, L. P.; Filho, J. Karam; Loula, A. F. D.; Stenberg, R.
5
1991
On the superconvergence of the satisfying-Babuska-Brezzi method. Zbl 0723.65054
Franca, Leopoldo P.
2
1990
A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100
Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M.
474
1989
The Galerkin gradient least-squares method. Zbl 0699.65077
Franca, Leopoldo Penna; Dutra do Carmo, Eduardo Gomes
60
1989
Analysis and finite element approximation of compressible and incompressible linear isotropic elasticity based upon a variational principle. Zbl 0688.73044
Franca, Leopoldo P.
9
1989
An algorithm to compute the square root of a 3\(\times 3\) positive definite matrix. Zbl 0686.65019
Franca, L. P.
8
1989
On mixed finite element methods for axisymmetric shell analysis. Zbl 0691.73030
Loula, Abimael F. D.; Miranda, Isidoro; Hughes, Thomas J. R.; Franca, Leopoldo P.
7
1989
Finite element approximation of a new variational principle for compressible and incompressible linear isotropic elasticity. Zbl 0749.73076
Franca, Leopoldo P.; Stenberg, Rolf
2
1989
Two classes of mixed finite element methods. Zbl 0629.73053
Franca, Leopoldo P.; Hughes, Thomas J. R.
83
1988
Some new classes of mixed finite element methods. Zbl 0651.65078
Hughes, T. J. R.; Franca, L. P.
55
1988
A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation. Zbl 0656.73036
Franca, Leopoldo P.; Hughes, Thomas J. R.; Loula, Abimael F. D.; Miranda, Isidoro
39
1988
Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces. Zbl 0611.73077
Hughes, Thomas J. R.; Franca, Leopoldo P.
33
1988
Convergence of transverse shear stresses in the finite element analysis of plates. Zbl 0633.73080
Hughes, Thomas J. R.; Franca, Leopoldo P.
2
1988
A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. Zbl 0635.76067
Hughes, Thomas J. R.; Franca, Leopoldo P.
175
1987
A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems. Zbl 0635.76066
Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel
94
1987
Mixed Petrov-Galerkin methods for the Timoshenko beam problem. Zbl 0607.73076
Loula, Abimael F. D.; Hughes, Thomas J. R.; Franca, Leopoldo P.; Miranda, Isidoro
30
1987
Stability, convergence, and accuracy of a new finite element method for the circular arch problem. Zbl 0607.73077
Loula, Abimael F. D.; Franca, Leopoldo P.; Hughes, Thomas J. R.; Miranda, Isodora
23
1987
Petrov-Galerkin formulations of the Timoshenko beam problem. Zbl 0645.73030
Loula, Abimael F. D.; Hughes, Thomas J. R.; Franca, Leopoldo P.
14
1987
A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Zbl 0622.76077
Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc
560
1986
A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Zbl 0572.76068
Hughes, T. J. R.; Franca, L. P.; Mallet, M.
172
1986
New finite element methods for the compressible Euler and Navier-Stokes equations. Zbl 0678.76069
Hughes, T. J. R.; Mallet, M.; Franca, L. P.
7
1986
all top 5

Cited by 2,447 Authors

82 Tezduyar, Tayfun E.
67 Hughes, Thomas J. R.
48 Codina, Ramon
45 Franca, Leopoldo Luis Cabo Penna
36 Oñate Ibáñez de Navarra, Eugenio
34 Masud, Arif
31 Bazilevs, Yuri
27 Farhat, Charbel H.
27 Harari, Isaac
24 Hauke, Guillermo
22 Loula, Abimael Fernando Dourado
22 Takizawa, Kenji
22 Valentin, Frédéric
20 Wall, Wolfgang A.
19 He, Yinnian
18 Idelsohn, Sergio Rodolfo
18 Ilinca, Florin
18 Jansen, Kenneth E.
17 Russo, Alessandro
17 Scovazzi, Guglielmo
16 Gravemeier, Volker
15 Brezzi, Franco
15 Liu, Wing Kam
15 Stenberg, Rolf
15 Tezaur, Radek
14 Araya, Rodolfo A.
14 Shadid, John N.
14 Yang, Suh-Yuh
13 Barrenechea, Gabriel R.
13 Bochev, Pavel B.
13 Calo, Victor Manuel
13 Dutra do Carmo, Eduardo Gomes
13 Hétu, Jean-François
13 John, Volker
13 Lube, Gert
13 Sathe, Sunil
13 Trevelyan, Jon
12 Badia, Santiago
12 Evans, John A.
12 Nakshatrala, K. B.
11 Abgrall, Rémi
11 Buscaglia, Gustavo Carlos
11 Coutinho, Alvaro L. G. A.
11 Duan, Huoyuan
11 Feng, Minfu
11 Hachem, Elie
11 Ladevèze, Pierre
11 Laghrouche, Omar
11 Li, Jian
11 Liu, Gui-Rong
11 Nesliturk, Ali I.
11 Riou, Hervé
10 Akkerman, Ido
10 Baiges, Joan
10 Behr, Marek A.
10 Blasco, Jordi
10 Demkowicz, Leszek F.
10 Doweidar, Mohamed Hamdy
10 Hsu, Ming-Chen
10 Jaiman, Rajeev Kumar
10 Linke, Alexander
9 Bonet, Javier
9 Burman, Erik
9 Canuto, Claudio
9 Cervera, Miguel
9 Chiumenti, Michele
9 Cruchaga, Marcela A.
9 Dettmer, Wulf G.
9 Dolbow, John E.
9 Garcia-Espinosa, Julio
9 Gatica, Gabriel N.
9 Gil, Antonio J.
9 Hansbo, Peter
9 Marini, Luisa Donatella
9 Mittal, Sanjay
9 Oberai, Assad A.
9 Perić, Djordje
9 Ruas, Vitoriano
9 Sangalli, Giancarlo
9 Shephard, Mark S.
9 Soulaimani, Azzeddine
9 Surana, Karan S.
8 Almeida, Regina C.
8 Carpenter, Mark H.
8 Desmet, Wim
8 He, Zhicheng
8 Hou, Yanren
8 Pain, Christopher C.
8 Picasso, Marco
8 Pinsky, Peter M.
8 Rebholz, Leo G.
8 Reddy, Junuthula Narasimha
8 Rispoli, Franco
8 Tobiska, Lutz
7 Alvarez, Gustavo Benitez
7 Barbone, Paul E.
7 Bettess, Peter
7 Cai, Xiao-Chuan
7 Chan, Jesse
7 Chen, Zhangxin
...and 2,347 more Authors
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Cited in 136 Serials

690 Computer Methods in Applied Mechanics and Engineering
138 Journal of Computational Physics
115 International Journal for Numerical Methods in Engineering
91 International Journal for Numerical Methods in Fluids
91 Computational Mechanics
65 Computers and Fluids
58 Journal of Scientific Computing
56 Journal of Computational and Applied Mathematics
47 Applied Numerical Mathematics
42 Computers & Mathematics with Applications
33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
32 Applied Mathematics and Computation
29 Mathematics of Computation
28 Numerische Mathematik
25 Communications in Numerical Methods in Engineering
25 International Journal of Computational Fluid Dynamics
21 Engineering Analysis with Boundary Elements
20 Archives of Computational Methods in Engineering
17 Numerical Methods for Partial Differential Equations
16 SIAM Journal on Numerical Analysis
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 SIAM Journal on Scientific Computing
11 Calcolo
10 Applied Mathematical Modelling
10 Computational Geosciences
9 International Journal of Computer Mathematics
9 International Journal of Numerical Methods for Heat & Fluid Flow
9 Advances in Computational Mathematics
9 International Journal of Computational Methods
8 Applied Mathematics and Mechanics. (English Edition)
8 Applied Mathematics Letters
8 Engineering Computations
8 International Journal for Computational Methods in Engineering Science and Mechanics
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 Journal of Computational Acoustics
6 Journal of Fluid Mechanics
6 Journal of Mathematical Analysis and Applications
6 Wave Motion
6 Computing
6 Mathematics and Computers in Simulation
6 Abstract and Applied Analysis
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Computational Methods in Applied Mathematics
6 International Journal for Numerical Methods in Biomedical Engineering
5 Journal of Numerical Mathematics
5 Multiscale Modeling & Simulation
4 Acta Mechanica
4 International Journal of Engineering Science
4 Journal of the Mechanics and Physics of Solids
4 Numerical Functional Analysis and Optimization
4 Numerical Algorithms
4 Mathematical Problems in Engineering
4 European Journal of Mechanics. B. Fluids
4 Journal of Applied Mathematics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Mechanics Research Communications
3 Acta Mathematicae Applicatae Sinica. English Series
3 Applications of Mathematics
3 Numerical Linear Algebra with Applications
3 Computational and Applied Mathematics
3 Computing and Visualization in Science
3 Science China. Mathematics
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 International Journal of Heat and Mass Transfer
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 Transport Theory and Statistical Physics
2 Theoretical and Computational Fluid Dynamics
2 Journal of the Korean Mathematical Society
2 Meccanica
2 Mathematical and Computer Modelling
2 Japan Journal of Industrial and Applied Mathematics
2 Applied Mathematics. Series B (English Edition)
2 Physics of Fluids
2 European Journal of Mechanics. A. Solids
2 Communications in Nonlinear Science and Numerical Simulation
2 Combustion Theory and Modelling
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Structural and Multidisciplinary Optimization
2 Inverse Problems in Science and Engineering
2 Journal of Zhejiang University. Science A
2 Acta Mechanica Sinica
2 S\(\vec{\text{e}}\)MA Journal
1 International Journal of Modern Physics B
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 International Journal of Solids and Structures
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 BIT
1 Journal of Optimization Theory and Applications
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quaestiones Mathematicae
1 Acta Applicandae Mathematicae
1 COMPEL
1 European Journal of Applied Mathematics
1 Journal of Elasticity
...and 36 more Serials

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