Edit Profile (opens in new tab) Franca, Leopoldo Luis Cabo Penna (b. 1959 d. 2012) Co-Author Distance Author ID: franca.leopoldo-penna Published as: Franca, Leopoldo P.; Franca, L. P.; Franca, Leopoldo Penna; Franca, Leopold P. more...less External Links: MGP · Wikidata · dblp Documents Indexed: 74 Publications since 1986 1 Contribution as Editor Biographic References: 3 Publications Co-Authors: 42 Co-Authors with 69 Joint Publications 1,395 Co-Co-Authors all top 5 Co-Authors 6 single-authored 21 Hughes, Thomas J. R. 11 Valentin, Frédéric 10 Russo, Alessandro 7 Loula, Abimael Fernando Dourado 5 Brezzi, Franco 5 Farhat, Charbel H. 5 Stenberg, Rolf 4 Coutinho, Alvaro L. G. A. 4 Mallet, Michel 4 Miranda, Isidoro 3 Barrenechea, Gabriel R. 3 Frey, Sergio L. 3 Harari, Isaac 3 Madureira, Alexandre L. 3 Oliveira, Saulo Pomponet 3 Tobiska, Lutz 2 Lesoinne, Michel 2 Macedo, Antonini P. 2 Masud, Arif 2 Nesliturk, Ali I. 1 Araya, Rodolfo A. 1 Asensio, Maria Isabel 1 Baiocchi, Claudio 1 Balestra, Marc 1 Behr, Marek A. 1 Bristeau, Marie-Odile 1 Catabriga, Lucia 1 Dolbow, John E. 1 Dutra do Carmo, Eduardo Gomes 1 Filho, José Karam 1 Harder, Christopher 1 Hauke, Guillermo 1 Henao, Carlos A. A. 1 Hulbert, Gregory M. 1 Hwang, Fengnan 1 John, Volker 1 Matthies, Gunar 1 Ramalho, J. V. A. 1 Rogé, Gilbert 1 Sarkis, Marcus V. 1 Stynes, Martin Joseph 1 Tezduyar, Tayfun E. all top 5 Serials 38 Computer Methods in Applied Mechanics and Engineering 5 International Journal for Numerical Methods in Engineering 3 International Journal for Numerical Methods in Fluids 3 SIAM Journal on Numerical Analysis 2 Computational Mechanics 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Communications in Applied Numerical Methods 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Matemática Aplicada e Computacional 1 Applied Mechanics Reviews 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 East-West Journal of Numerical Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation all top 5 Fields 41 Numerical analysis (65-XX) 41 Fluid mechanics (76-XX) 20 Mechanics of deformable solids (74-XX) 15 Partial differential equations (35-XX) 5 Classical thermodynamics, heat transfer (80-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 4,635 times in 2,309 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 0622.76077Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc 629 1986 A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M. 549 1989 Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048Franca, Leopoldo P.; Frey, Sérgio L. 274 1992 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 263 1992 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 0572.76068Hughes, T. J. R.; Franca, L. P.; Mallet, M. 215 1986 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 0635.76067Hughes, Thomas J. R.; Franca, Leopoldo P. 201 1987 The discontinuous enrichment method. Zbl 1002.76065Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P. 183 2001 A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Zbl 0756.76044Brezzi, Franco; Bristeau, Marie-Odile; Franca, Leopoldo P.; Mallet, Michel; Rogé, Gilbert 176 1992 Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P. 163 1993 \(b=\int g\). Zbl 0904.76041Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 157 1997 Error analysis of some Galerkin least squares methods for the elasticity equations. Zbl 0759.73055Franca, Leopoldo P.; Stenberg, Rolf 133 1991 Bubble functions prompt unusual stabilized finite element methods. Zbl 1067.76567Franca, Leopoldo P.; Farhat, Charbel 115 1995 Two classes of mixed finite element methods. Zbl 0629.73053Franca, Leopoldo P.; Hughes, Thomas J. R. 110 1988 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 0635.76066Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel 108 1987 On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation. Zbl 0976.76038Franca, L. P.; Valentin, F. 99 2000 Residual-free bubbles for the Helmholtz equation. Zbl 0897.73062Franca, Leopoldo P.; Farhat, Charbel; Macedo, Antonini P.; Lesoinne, Michel 84 1997 The Galerkin gradient least-squares method. Zbl 0699.65077Franca, Leopoldo Penna; Dutra do Carmo, Eduardo Gomes 66 1989 Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126Brezzi, F.; Franca, L. P.; Russo, A. 63 1998 Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations. Zbl 0771.76037Franca, Leopoldo P.; Hughes, Thomas J. R. 61 1993 Some new classes of mixed finite element methods. Zbl 0651.65078Hughes, T. J. R.; Franca, L. P. 60 1988 Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles. Zbl 0903.65082Franca, L. P.; Russo, A. 60 1996 Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions. Zbl 1091.76034Franca, Leopoldo P.; Madureira, Alexandre L.; Valentin, Frederic 52 2005 Stabilized finite element methods. Zbl 1189.76339Franca, Leopoldo P.; Hughes, Thomas J. R.; Stenberg, Rolf 48 1993 Revisiting stabilized finite element methods for the advective-diffusive equation. Zbl 1122.76054Franca, Leopoldo P.; Hauke, Guillermo; Masud, Arif 48 2006 On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method. Zbl 0934.65127Franca, L. P.; Nesliturk, A.; Stynes, M. 48 1998 A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation. Zbl 0656.73036Franca, Leopoldo P.; Hughes, Thomas J. R.; Loula, Abimael F. D.; Miranda, Isidoro 47 1988 Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows. Zbl 0771.76033Behr, Marek A.; Franca, Leopoldo P.; Tezduyar, Tayfun E. 46 1993 On a two-level finite element method for the incompressible Navier-Stokes equations. Zbl 1002.76066Franca, L. P.; Nesliturk, A. 43 2001 Mixed Petrov-Galerkin methods for the Timoshenko beam problem. Zbl 0607.73076Loula, Abimael F. D.; Hughes, Thomas J. R.; Franca, Leopoldo P.; Miranda, Isidoro 33 1987 Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces. Zbl 0611.73077Hughes, Thomas J. R.; Franca, Leopoldo P. 33 1988 Residual-free bubbles for embedded Dirichlet problems. Zbl 1197.65180Dolbow, J. E.; Franca, L. P. 29 2008 A two-level finite element method and its application to the Helmholtz equation. Zbl 0935.65117Franca, Leopoldo P.; Macedo, Antonini P. 29 1998 Unlocking with residual-free bubbles. Zbl 0890.73064Franca, Leopoldo P.; Russo, Alessandro 26 1997 Stability, convergence, and accuracy of a new finite element method for the circular arch problem. Zbl 0607.73077Loula, Abimael F. D.; Franca, Leopoldo P.; Hughes, Thomas J. R.; Miranda, Isodora 25 1987 Unusual stabilized finite element methods and residual free bubbles. Zbl 0904.76045Franca, Leopoldo P.; Farhat, Charbel; Lesoinne, Michel; Russo, Alessandro 23 1998 Approximation of the Stokes problem by residual-free macro bubbles. Zbl 0869.76038Franca, L. P.; Russo, A. 21 1996 Stabilization techniques and subgrid scales capturing. Zbl 0881.65100Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 20 1997 A hierarchical multiscale framework for problems with multiscale source terms. Zbl 1194.74557Masud, Arif; Franca, Leopoldo P. 18 2008 Mass lumping emanating from residual-free bubbles. Zbl 0883.65086Franca, Leopoldo P.; Russo, Alessandro 16 1997 Convergence analysis of a multiscale finite element method for singularly perturbed problems. Zbl 1091.65108Franca, Leopoldo P.; Madureira, Alexandre L.; Tobiska, Lutz; Valentin, Frédéric 16 2005 Pressure bubbles stabilization features in the Stokes problem. Zbl 1029.76032Franca, Leopoldo P.; Oliveira, Saulo P. 16 2003 Element diameter free stability parameters for stabilized methods applied to fluids. Zbl 0776.76049Franca, Leopoldo P.; Madureira, Alexandre L. 15 1993 Enriched finite element methods for unsteady reaction-diffusion problems. Zbl 1105.65347Franca, L. P.; Ramalho, J. V. A.; Valentin, F. 15 2006 A new mixed finite element method for the Timoshenko beam problem. Zbl 0779.73059Franca, Leopoldo P.; Loula, Abimael F. D. 14 1991 Petrov-Galerkin formulations of the Timoshenko beam problem. Zbl 0645.73030Loula, Abimael F. D.; Hughes, Thomas J. R.; Franca, Leopoldo P. 14 1987 Stability of the residual free bubble method for bilinear finite elements on rectangular grids. Zbl 1005.65122Franca, Leopoldo P.; Tobiska, Lutz 14 2002 Streamline design of stability parameters for advection-diffusion problems. Zbl 0985.65146Harari, Isaac; Franca, Leopold P.; Oliveira, Saulo P. 14 2001 A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation. Zbl 1173.76329Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric 14 2007 Refining the submesh strategy in the two-level finite element method: Application to the advection-diffusion equation. Zbl 1016.76047Franca, Leopoldo P.; Hwang, Feng-Nan 11 2002 Combining stabilized finite element methods. Zbl 1005.65128Valentin, Frederic G. C.; Franca, Leopoldo P. 10 1995 Stabilization arising from PGEM: A review and further developments. Zbl 1165.76021Araya, Rodolfo; Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric 10 2009 Analysis and finite element approximation of compressible and incompressible linear isotropic elasticity based upon a variational principle. Zbl 0688.73044Franca, Leopoldo P. 9 1989 An algorithm to compute the square root of a 3\(\times 3\) positive definite matrix. Zbl 0686.65019Franca, L. P. 9 1989 An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz 8 2007 New finite element methods for the compressible Euler and Navier-Stokes equations. Zbl 0678.76069Hughes, T. J. R.; Mallet, M.; Franca, L. P. 8 1986 On mixed finite element methods for axisymmetric shell analysis. Zbl 0691.73030Loula, Abimael F. D.; Miranda, Isidoro; Hughes, Thomas J. R.; Franca, Leopoldo P. 7 1989 Recovering SUPG using Petrov-Galerkin formulations enriched with adjoint residual-free bubbles. Zbl 0977.76044Franca, L. P.; Russo, A. 7 2000 On a residual local projection method for the Darcy equation. Zbl 1171.76026Franca, Leopoldo P.; Harder, Christopher; Valentin, Frédéric 6 2009 A symmetric nodal conservative finite element method for the Darcy equation. Zbl 1410.76153Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric 6 2009 A convergence analysis of a stabilized method for the Stokes flow. Zbl 0737.76044Franca, L. P.; Filho, J. Karam; Loula, A. F. D.; Stenberg, R. 5 1991 On the limitations of bubble functions. Zbl 0847.76033Franca, Leopoldo P.; Farhat, Charbel 5 1994 Numerical multiscale methods. Zbl 1412.65206Coutinho, A. L. G. A.; Franca, L. P.; Valentin, F. 4 2012 Incompressible flows based upon stabilized methods. Zbl 0873.76044Franca, Leopoldo P. 3 1994 A note on a recent study of stabilized element computations for heat conduction. Zbl 1115.80321Harari, 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 1060.76568Catabriga, Lucia; Coutinho, Alvaro L. G. A.; Franca, Leopoldo P. 3 2003 Finite element approximation of a new variational principle for compressible and incompressible linear isotropic elasticity. Zbl 0749.73076Franca, Leopoldo P.; Stenberg, Rolf 2 1989 Convergence of transverse shear stresses in the finite element analysis of plates. Zbl 0633.73080Hughes, Thomas J. R.; Franca, Leopoldo P. 2 1988 Residual-free bubbles for a singular perturbation equation. Zbl 1043.65123Asensio, M. I.; Franca, L. P.; Russo, A. 2 2003 On the superconvergence of the satisfying-Babuska-Brezzi method. Zbl 0723.65054Franca, Leopoldo P. 2 1990 A stabilized method for transient transport equations. Zbl 1301.76050Henao, Carlos A. A.; Coutinho, Alvaro L. G. A.; Franca, Leopoldo P. 2 2010 Continuous Q1-Q1 Stokes elements stabilized with non-conforming null edge average velocity functions. Zbl 1134.76026Franca, Leopoldo P.; Oliveira, Saulo P.; Sarkis, Marcus 2 2007 Special issue: Advances in stabilized methods in computational mechanics. Zbl 0929.00026 2 1998 An overview of the residual-free-bubbles method. Zbl 0914.73056Franca, Leopoldo P. 1 1997 Numerical multiscale methods. Zbl 1412.65206Coutinho, A. L. G. A.; Franca, L. P.; Valentin, F. 4 2012 A stabilized method for transient transport equations. Zbl 1301.76050Henao, Carlos A. A.; Coutinho, Alvaro L. G. A.; Franca, Leopoldo P. 2 2010 Stabilization arising from PGEM: A review and further developments. Zbl 1165.76021Araya, Rodolfo; Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric 10 2009 On a residual local projection method for the Darcy equation. Zbl 1171.76026Franca, Leopoldo P.; Harder, Christopher; Valentin, Frédéric 6 2009 A symmetric nodal conservative finite element method for the Darcy equation. Zbl 1410.76153Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric 6 2009 Residual-free bubbles for embedded Dirichlet problems. Zbl 1197.65180Dolbow, J. E.; Franca, L. P. 29 2008 A hierarchical multiscale framework for problems with multiscale source terms. Zbl 1194.74557Masud, Arif; Franca, Leopoldo P. 18 2008 A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation. Zbl 1173.76329Barrenechea, Gabriel R.; Franca, Leopoldo P.; Valentin, Frédéric 14 2007 An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz 8 2007 Continuous Q1-Q1 Stokes elements stabilized with non-conforming null edge average velocity functions. Zbl 1134.76026Franca, Leopoldo P.; Oliveira, Saulo P.; Sarkis, Marcus 2 2007 Revisiting stabilized finite element methods for the advective-diffusive equation. Zbl 1122.76054Franca, Leopoldo P.; Hauke, Guillermo; Masud, Arif 48 2006 Enriched finite element methods for unsteady reaction-diffusion problems. Zbl 1105.65347Franca, 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 1091.76034Franca, Leopoldo P.; Madureira, Alexandre L.; Valentin, Frederic 52 2005 Convergence analysis of a multiscale finite element method for singularly perturbed problems. Zbl 1091.65108Franca, Leopoldo P.; Madureira, Alexandre L.; Tobiska, Lutz; Valentin, Frédéric 16 2005 Pressure bubbles stabilization features in the Stokes problem. Zbl 1029.76032Franca, Leopoldo P.; Oliveira, Saulo P. 16 2003 Evaluating the LCD algorithm for solving linear systems of equations arising from implicit SUPG formulation of compressible flows. Zbl 1060.76568Catabriga, Lucia; Coutinho, Alvaro L. G. A.; Franca, Leopoldo P. 3 2003 Residual-free bubbles for a singular perturbation equation. Zbl 1043.65123Asensio, M. I.; Franca, L. P.; Russo, A. 2 2003 Stability of the residual free bubble method for bilinear finite elements on rectangular grids. Zbl 1005.65122Franca, Leopoldo P.; Tobiska, Lutz 14 2002 Refining the submesh strategy in the two-level finite element method: Application to the advection-diffusion equation. Zbl 1016.76047Franca, Leopoldo P.; Hwang, Feng-Nan 11 2002 A note on a recent study of stabilized element computations for heat conduction. Zbl 1115.80321Harari, I.; Frey, S.; Franca, L. P. 3 2002 The discontinuous enrichment method. Zbl 1002.76065Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P. 183 2001 On a two-level finite element method for the incompressible Navier-Stokes equations. Zbl 1002.76066Franca, L. P.; Nesliturk, A. 43 2001 Streamline design of stability parameters for advection-diffusion problems. Zbl 0985.65146Harari, Isaac; Franca, Leopold P.; Oliveira, Saulo P. 14 2001 On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation. Zbl 0976.76038Franca, L. P.; Valentin, F. 99 2000 Recovering SUPG using Petrov-Galerkin formulations enriched with adjoint residual-free bubbles. Zbl 0977.76044Franca, L. P.; Russo, A. 7 2000 Further considerations on residual-free bubbles for advective-diffusive equations. Zbl 0934.65126Brezzi, F.; Franca, L. P.; Russo, A. 63 1998 On the stability of residual-free bubbles for convection-diffusion problems and their approximation by a two-level finite element method. Zbl 0934.65127Franca, L. P.; Nesliturk, A.; Stynes, M. 48 1998 A two-level finite element method and its application to the Helmholtz equation. Zbl 0935.65117Franca, Leopoldo P.; Macedo, Antonini P. 29 1998 Unusual stabilized finite element methods and residual free bubbles. Zbl 0904.76045Franca, Leopoldo P.; Farhat, Charbel; Lesoinne, Michel; Russo, Alessandro 23 1998 Special issue: Advances in stabilized methods in computational mechanics. Zbl 0929.00026 2 1998 \(b=\int g\). Zbl 0904.76041Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 157 1997 Residual-free bubbles for the Helmholtz equation. Zbl 0897.73062Franca, Leopoldo P.; Farhat, Charbel; Macedo, Antonini P.; Lesoinne, Michel 84 1997 Unlocking with residual-free bubbles. Zbl 0890.73064Franca, Leopoldo P.; Russo, Alessandro 26 1997 Stabilization techniques and subgrid scales capturing. Zbl 0881.65100Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 20 1997 Mass lumping emanating from residual-free bubbles. Zbl 0883.65086Franca, Leopoldo P.; Russo, Alessandro 16 1997 An overview of the residual-free-bubbles method. Zbl 0914.73056Franca, Leopoldo P. 1 1997 Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles. Zbl 0903.65082Franca, L. P.; Russo, A. 60 1996 Approximation of the Stokes problem by residual-free macro bubbles. Zbl 0869.76038Franca, L. P.; Russo, A. 21 1996 Bubble functions prompt unusual stabilized finite element methods. Zbl 1067.76567Franca, Leopoldo P.; Farhat, Charbel 115 1995 Combining stabilized finite element methods. Zbl 1005.65128Valentin, Frederic G. C.; Franca, Leopoldo P. 10 1995 On the limitations of bubble functions. Zbl 0847.76033Franca, Leopoldo P.; Farhat, Charbel 5 1994 Incompressible flows based upon stabilized methods. Zbl 0873.76044Franca, Leopoldo P. 3 1994 Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P. 163 1993 Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations. Zbl 0771.76037Franca, Leopoldo P.; Hughes, Thomas J. R. 61 1993 Stabilized finite element methods. Zbl 1189.76339Franca, Leopoldo P.; Hughes, Thomas J. R.; Stenberg, Rolf 48 1993 Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows. Zbl 0771.76033Behr, Marek A.; Franca, Leopoldo P.; Tezduyar, Tayfun E. 46 1993 Element diameter free stability parameters for stabilized methods applied to fluids. Zbl 0776.76049Franca, Leopoldo P.; Madureira, Alexandre L. 15 1993 Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048Franca, Leopoldo P.; Frey, Sérgio L. 274 1992 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 263 1992 A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Zbl 0756.76044Brezzi, Franco; Bristeau, Marie-Odile; Franca, Leopoldo P.; Mallet, Michel; Rogé, Gilbert 176 1992 Error analysis of some Galerkin least squares methods for the elasticity equations. Zbl 0759.73055Franca, Leopoldo P.; Stenberg, Rolf 133 1991 A new mixed finite element method for the Timoshenko beam problem. Zbl 0779.73059Franca, Leopoldo P.; Loula, Abimael F. D. 14 1991 A convergence analysis of a stabilized method for the Stokes flow. Zbl 0737.76044Franca, L. P.; Filho, J. Karam; Loula, A. F. D.; Stenberg, R. 5 1991 On the superconvergence of the satisfying-Babuska-Brezzi method. Zbl 0723.65054Franca, Leopoldo P. 2 1990 A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M. 549 1989 The Galerkin gradient least-squares method. Zbl 0699.65077Franca, Leopoldo Penna; Dutra do Carmo, Eduardo Gomes 66 1989 Analysis and finite element approximation of compressible and incompressible linear isotropic elasticity based upon a variational principle. Zbl 0688.73044Franca, Leopoldo P. 9 1989 An algorithm to compute the square root of a 3\(\times 3\) positive definite matrix. Zbl 0686.65019Franca, L. P. 9 1989 On mixed finite element methods for axisymmetric shell analysis. Zbl 0691.73030Loula, 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 0749.73076Franca, Leopoldo P.; Stenberg, Rolf 2 1989 Two classes of mixed finite element methods. Zbl 0629.73053Franca, Leopoldo P.; Hughes, Thomas J. R. 110 1988 Some new classes of mixed finite element methods. Zbl 0651.65078Hughes, T. J. R.; Franca, L. P. 60 1988 A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation. Zbl 0656.73036Franca, Leopoldo P.; Hughes, Thomas J. R.; Loula, Abimael F. D.; Miranda, Isidoro 47 1988 Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces. Zbl 0611.73077Hughes, Thomas J. R.; Franca, Leopoldo P. 33 1988 Convergence of transverse shear stresses in the finite element analysis of plates. Zbl 0633.73080Hughes, 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 0635.76067Hughes, Thomas J. R.; Franca, Leopoldo P. 201 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 0635.76066Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel 108 1987 Mixed Petrov-Galerkin methods for the Timoshenko beam problem. Zbl 0607.73076Loula, Abimael F. D.; Hughes, Thomas J. R.; Franca, Leopoldo P.; Miranda, Isidoro 33 1987 Stability, convergence, and accuracy of a new finite element method for the circular arch problem. Zbl 0607.73077Loula, Abimael F. D.; Franca, Leopoldo P.; Hughes, Thomas J. R.; Miranda, Isodora 25 1987 Petrov-Galerkin formulations of the Timoshenko beam problem. Zbl 0645.73030Loula, 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 0622.76077Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc 629 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 0572.76068Hughes, T. J. R.; Franca, L. P.; Mallet, M. 215 1986 New finite element methods for the compressible Euler and Navier-Stokes equations. Zbl 0678.76069Hughes, T. J. R.; Mallet, M.; Franca, L. P. 8 1986 all cited Publications top 5 cited Publications all top 5 Cited by 2,845 Authors 86 Tezduyar, Tayfun E. 69 Hughes, Thomas J. R. 50 Codina, Ramon 45 Franca, Leopoldo Luis Cabo Penna 41 Oñate Ibáñez de Navarra, Eugenio 39 Masud, Arif 34 Bazilevs, Yuri 28 Farhat, Charbel H. 27 Harari, Isaac 26 Hauke, Guillermo 26 Takizawa, Kenji 24 Valentin, Frédéric 22 He, Yinnian 22 Loula, Abimael Fernando Dourado 22 Wall, Wolfgang A. 19 Idelsohn, Sergio Rodolfo 19 Scovazzi, Guglielmo 18 Feng, Minfu 18 Ilinca, Florin 18 Jansen, Kenneth E. 17 Araya, Rodolfo A. 17 Gravemeier, Volker 17 Russo, Alessandro 16 Barrenechea, Gabriel R. 15 Brezzi, Franco 15 Calo, Victor Manuel 15 Evans, John A. 15 John, Volker 15 Liu, Wing Kam 15 Stenberg, Rolf 15 Tezaur, Radek 15 Trevelyan, Jon 14 Hachem, Elie 14 Shadid, John N. 14 Yang, Suh-Yuh 13 Abgrall, Rémi 13 Bochev, Pavel B. 13 Dutra do Carmo, Eduardo Gomes 13 Gil, Antonio J. 13 Hétu, Jean-François 13 Hsu, Ming-Chen 13 Lube, Gert 13 Nakshatrala, Kalyana B. 13 Sathe, Sunil 13 Shang, Yueqiang 12 Badia, Santiago 12 Baiges, Joan 12 Buscaglia, Gustavo Carlos 12 Chan, Jesse 12 Jaiman, Rajeev Kumar 12 Laghrouche, Omar 12 Li, Jian 11 Akkerman, Ido 11 Behr, Marek A. 11 Bonet, Javier 11 Coutinho, Alvaro L. G. A. 11 Demkowicz, Leszek F. 11 Duan, Huoyuan 11 Ladevèze, Pierre 11 Linke, Alexander 11 Liu, Gui-Rong 11 Nesliturk, Ali I. 11 Riou, Hervé 11 Seaïd, Mohammed 10 Blasco, Jordi 10 Burman, Erik 10 Canuto, Claudio 10 Cervera, Miguel 10 Chiumenti, Michele 10 Doweidar, Mohamed Hamdy 10 Mittal, Sanjay 10 Oberai, Assad A. 10 Ruas, Vitoriano 10 Shephard, Mark S. 9 Chacón Rebollo, Tomás 9 Coupez, Thierry 9 Cruchaga, Marcela A. 9 Dettmer, Wulf G. 9 Dolbow, John E. 9 El Kacimi, Abdellah 9 Garcia-Espinosa, Julio 9 Gatica, Gabriel N. 9 Hansbo, Peter 9 Marini, Luisa Donatella 9 Marsden, Alison L. 9 Novo, Julia 9 Perić, Djordje 9 Picasso, Marco 9 Rebholz, Leo G. 9 Reddy, Junuthula Narasimha 9 Sangalli, Giancarlo 9 Soulaimani, Azzeddine 9 Surana, Karan S. 9 Xu, Jinchao 8 Almeida, Regina C. 8 Berrone, Stefano 8 Carpenter, Mark H. 8 Chung, Tsz Shun Eric 8 Del Rey Fernández, David C. 8 Desmet, Wim ...and 2,745 more Authors all top 5 Cited in 157 Serials 766 Computer Methods in Applied Mechanics and Engineering 177 Journal of Computational Physics 120 International Journal for Numerical Methods in Engineering 100 Computational Mechanics 91 International Journal for Numerical Methods in Fluids 70 Computers and Fluids 66 Journal of Scientific Computing 63 Journal of Computational and Applied Mathematics 57 Computers & Mathematics with Applications 52 Applied Numerical Mathematics 37 Applied Mathematics and Computation 36 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 30 Mathematics of Computation 29 Numerische Mathematik 29 International Journal of Computational Fluid Dynamics 25 Communications in Numerical Methods in Engineering 25 Engineering Analysis with Boundary Elements 20 Archives of Computational Methods in Engineering 18 SIAM Journal on Numerical Analysis 18 SIAM Journal on Scientific Computing 17 Numerical Methods for Partial Differential Equations 16 Applied Mathematical Modelling 16 International Journal of Computer Mathematics 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Calcolo 13 International Journal of Computational Methods 11 Advances in Computational Mathematics 11 Computational Geosciences 9 Applied Mathematics Letters 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 Advances in Applied Mathematics and Mechanics 8 Journal of Fluid Mechanics 8 Journal of Mathematical Analysis and Applications 8 Applied Mathematics and Mechanics. (English Edition) 8 Engineering Computations 8 Computational Methods in Applied Mathematics 8 International Journal for Computational Methods in Engineering Science and Mechanics 7 Mathematics and Computers in Simulation 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Journal of Computational Acoustics 6 Wave Motion 6 Computing 6 Abstract and Applied Analysis 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 6 Journal of Numerical Mathematics 6 Communications in Computational Physics 6 International Journal for Numerical Methods in Biomedical Engineering 5 Acta Mechanica 5 Numerical Algorithms 5 Computational and Applied Mathematics 5 Computing and Visualization in Science 5 Journal of Applied Mathematics 5 Multiscale Modeling & Simulation 5 International Journal of Numerical Analysis and Modeling 4 International Journal of Engineering Science 4 Journal of the Mechanics and Physics of Solids 4 Numerical Functional Analysis and Optimization 4 Mathematical Problems in Engineering 4 European Journal of Mechanics. B. Fluids 4 Communications in Nonlinear Science and Numerical Simulation 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 Science China. Mathematics 3 Communications on Applied Mathematics and Computation 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 SIAM Review 2 Applied Mathematics. Series B (English Edition) 2 Physics of Fluids 2 European Journal of Mechanics. A. Solids 2 Combustion Theory and Modelling 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Structural and Multidisciplinary Optimization 2 Acta Numerica 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 2 Electronic Research Archive 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Fluid Dynamics 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences ...and 57 more Serials all top 5 Cited in 30 Fields 1,530 Fluid mechanics (76-XX) 1,294 Numerical analysis (65-XX) 551 Mechanics of deformable solids (74-XX) 479 Partial differential equations (35-XX) 73 Classical thermodynamics, heat transfer (80-XX) 53 Biology and other natural sciences (92-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 27 Geophysics (86-XX) 24 Optics, electromagnetic theory (78-XX) 21 Statistical mechanics, structure of matter (82-XX) 12 Computer science (68-XX) 10 Ordinary differential equations (34-XX) 10 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 5 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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