Edit Profile (opens in new tab) Fortin, Michel Compute Distance To: Compute Author ID: fortin.michel Published as: Fortin, M.; Fortin, Michel External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 96 Publications since 1971, including 4 Books 4 Contributions as Editor Co-Authors: 63 Co-Authors with 86 Joint Publications 1,232 Co-Co-Authors all top 5 Co-Authors 12 single-authored 16 Fortin, André 13 Brezzi, Franco 12 Habashi, Wagdi G. 7 Farhloul, Mohamed 7 Tanguy, Philippe A. 6 Soulaimani, Azzeddine 5 Dutto, Laura Cecilia 5 Vallet, Marie-Gabrielle 4 Dompierre, Julien 4 Robichaud, Michel P. 4 Yang, Geng 3 Ait-Ali-Yahia, Djaffar 3 Boffi, Daniele 3 Boivin, Sylvain 3 Bourgault, Yves 3 Delfour, Michel Claude 3 Dhatt, Gouri 3 El Maliki, Abderrahman 3 Marini, Luisa Donatella 3 Ouellet, Yvon 3 Pierre, Roger 2 Baruzzi, Guido S. 2 Bercovier, Michel 2 Choplin, L. 2 Deteix, Jean 2 Douglas, Jim jun. 2 Engelman, Michael S. 2 Gervais, Jean-Jacques 2 Glowinski, Roland 2 Guénette, Robert 2 Manouzi, Hassan 2 Mghazli, Zoubida 2 Peyret, Roger 2 Temam, Roger Meyer 2 Tibirna, Cristian 1 Arnold, Douglas Norman 1 Bathe, Klaus-Jürgen 1 Ben Salah, Nizar 1 Benmoussa, K. 1 Bertrand, François 1 Bois, Richard 1 Chamberland, Éric 1 Diop, Thierno 1 Durán, Ricardo G. 1 Esselaoui, Driss 1 Ghaly, Wahid S. 1 Goldberger, N. 1 Kari, Chadi 1 Liu, Joseph W. H. 1 Mounim, Serghini A. 1 Nguyen, Van Ngoc 1 Perréal, Yves 1 Pichelin, Élisabeth 1 Pitt, François 1 Pouliot, Benoit 1 Rezgui, Ali 1 Robitaille, Carl 1 Souissi, Ali 1 Soulie, M. 1 Stenberg, Rolf 1 Strigberger, J. 1 Tardieu, Nicolas 1 Thomasset, François all top 5 Serials 19 International Journal for Numerical Methods in Fluids 13 Computer Methods in Applied Mechanics and Engineering 7 International Journal for Numerical Methods in Engineering 6 Numerische Mathematik 4 Calcolo 3 Journal of Computational Physics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Numerical Methods for Partial Differential Equations 2 Journal of Non-Newtonian Fluid Mechanics 2 Revue Européenne des Éléments Finis 2 Advances in Computational Mathematics 2 Springer Series in Computational Mathematics 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Journal of Computational and Applied Mathematics 1 RAIRO. Analyse Numérique 1 SIAM Journal on Numerical Analysis 1 Communications in Applied Numerical Methods 1 COMPEL 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Communications on Pure and Applied Analysis 1 Journal de Mécanique 1 CRM Proceedings & Lecture Notes 1 Lecture Notes in Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering all top 5 Fields 71 Fluid mechanics (76-XX) 58 Numerical analysis (65-XX) 24 Mechanics of deformable solids (74-XX) 20 Partial differential equations (35-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 6,209 times in 4,968 Documents Cited by ▼ Year ▼ Mixed and hybrid finite element methods. Zbl 0788.73002Brezzi, Franco; Fortin, Michel 2,911 1991 Mixed finite element methods and applications. Zbl 1277.65092Boffi, Daniele; Brezzi, Franco; Fortin, Michel 698 2013 A stable finite element for the Stokes equations. Zbl 0593.76039Arnold, D. N.; Brezzi, F.; Fortin, M. 405 1984 Augmented Lagrangian methods: Applications to the numerical solution of boundary-value problems. (Transl. from the French). Zbl 0525.65045 289 1983 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 148 1987 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 134 1987 Finite-difference solutions of a non-linear Schrödinger equation. Zbl 0477.65086Delfour, M.; Fortin, M.; Payre, G. 130 1981 A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067Brezzi, F.; Fortin, M. 103 2001 An analysis of the convergence of mixed finite element methods. Zbl 0373.65055Fortin, Michel 99 1977 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 94 1991 Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel 89 1989 Old and new finite elements for incompressible flows. Zbl 0467.76030Fortin, Michel 84 1981 A non-conforming piecewise quadratic finite element on triangles. Zbl 0514.73068Fortin, M.; Soulie, M. 73 1983 Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058Brezzi, F.; Fortin, M. 66 1986 Reduced symmetry elements in linear elasticity. Zbl 1154.74041Boffi, Daniele; Brezzi, Franco; Fortin, Michel 65 2009 Anisotropic mesh adaption: Towards user-independent, mesh-independent and solver-independent CFD. I: General principles. Zbl 0981.76052Habashi, Wagdi G.; Dompierre, Julien; Bourgault, Yves; Ait-Ali-Yahia, Djaffar; Fortin, Michel; Vallet, Marie-Gabrielle 57 2000 Methodes de Lagrangian augmente. Applications a la resolution numerique de problemes aux limites. Zbl 0491.65036 54 1982 A new approach for the FEM simulation of viscoelastic flows. Zbl 0672.76010Fortin, Michel; Fortin, André 51 1989 Dual hybrid methods for the elasticity and the Stokes problems: A unified approach. Zbl 0880.73064Farhloul, Mohamed; Fortin, Michel 47 1997 On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows. Zbl 0692.76002Fortin, M.; Pierre, R. 40 1989 Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. III: Unstructured meshes. Zbl 1101.76356Dompierre, Julien; Vallet, Marie-Gabrielle; Bourgault, Yves; Fortin, Michel; Habashi, Wagdi G. 39 2002 Mixed finite element methods with continuous stresses. Zbl 0774.73066Brezzi, Franco; Fortin, Michel; Marini, L. Donatella 35 1993 A new mixed finite element for the Stokes and elasticity problems. Zbl 0777.76051Farhloul, M.; Fortin, M. 32 1993 Finite element simulation of two- and three-dimensional free surface flows. Zbl 0761.76037Soulaïmani, A.; Fortin, M.; Dhatt, G.; Ouellet, Y. 26 1991 Experiments with several elements for viscous incompressible flows. Zbl 0573.76032Fortin, M.; Fortin, A. 26 1985 Résolution numérique des équations de Navier-Stokes pour un fluide incompressible. (Numerical solution of Navier-Stokes equations for an incompressible fluid). Zbl 0225.76016Fortin, M.; Peyret, R.; Temam, R. 22 1971 A conservative stabilized finite element method for the magneto-hydrodynamic equations. Zbl 0938.76049Ben Salah, Nizar; Soulaimani, Azzeddine; Habashi, Wagdi G.; Fortin, Michel 21 1999 A generalization of Uzawa’s algorithm for the solution of the Navier- Stokes equations. Zbl 0592.76040Fortin, M.; Fortin, A. 20 1985 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051Brezzi, F.; Fortin, M.; Marini, L. D. 19 2006 Numerical analysis of the modified EVSS method. Zbl 0896.76040Fortin, Michel; Guénette, Robert; Pierre, Roger 19 1997 Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. II: Structured grids. Zbl 1101.76350Ait-Ali-Yahia, Djaffar; Baruzzi, Guido; Habashi, Wagdi G.; Fortin, Michel; Dompierre, Julien; Vallet, Marie-Gabrielle 18 2002 A finite element procedure for viscoelastic flows. Zbl 0634.76007Fortin, M.; Esselaoui, D. 18 1987 A three-dimensional quadratic nonconforming element. Zbl 0577.65008Fortin, M. 18 1985 Finite element solution of compressible viscous flows using conservative variables. Zbl 0848.76039Soulaïmani, Azzeddine; Fortin, Michel 17 1994 Mixed finite-element methods for incompressible flow problems. Zbl 0395.76023Fortin, M.; Thomasset, F. 16 1979 A directionally adaptive methodology using an edge-based error estimate on quadrilateral grids. Zbl 0884.76036Ait-Ali-Yahia, D.; Habashi, W. G.; Tam, A.; Vallet, M.-G.; Fortin, M. 16 1996 Finite elements for the Stokes problem. Zbl 1182.76895Boffi, Daniele; Brezzi, Franco; Fortin, Michel 14 2008 Finite element solution of the Navier-Stokes equations. Zbl 0801.76043Fortin, Michel 13 1993 Simple continuous pressure elements for two- and three-dimensional incompressible flows. Zbl 0608.76024Soulaimani, Azzeddine; Fortin, Michel; Ouellet, Yvon; Dhatt, Gouri; Bertrand, François 12 1987 Iterative solvers for 3D linear and nonlinear elasticity problems: displacement and mixed formulations. Zbl 1202.74005El Maliki, Abderrahman; Fortin, Michel; Tardieu, Nicolas; Fortin, André 9 2010 Anisotropic mesh adaptation: A step towards a mesh-independent and user-independent CFD. Zbl 0940.76034Habashi, W. G.; Fortin, M.; Dompierre, J.; Vallet, M.-G.; Bourgault, Y. 9 1998 An iterative implementation of the Uzawa algorithm for 3-D fluid flow problems. Zbl 0684.76038Robichaud, Michel P.; Tanguy, Philippe A.; Fortin, M. 9 1990 On finite element approximation and stabilization methods for compressible viscous flows. Zbl 0784.76048Fortin, M.; Manouzi, H.; Soulaimani, A. 8 1993 A preconditioned generalized minimal residual algorithm for the numerical solution of viscoelastic fluid flows. Zbl 0708.76012Fortin, André; Fortin, Michel 8 1990 Iterative stabilization of the bilinear velocity-constant pressure element. Zbl 0687.76029Fortin, M.; Boivin, S. 8 1990 An efficient hierarchical preconditioner for quadratic discretizations of finite element problems. Zbl 1249.65232El Maliki, A.; Guénette, R.; Fortin, M. 7 2011 A fully optimal anisotropic mesh adaptation method based on a hierarchical error estimator. Zbl 1243.65143Bois, Richard; Fortin, Michel; Fortin, André 7 2012 Stability analysis of discrete generalized Stokes problems. Zbl 0793.76052Fortin, M.; Pierre, R. 6 1992 A mixed nonconforming finite element for the elasticity and Stokes problems. Zbl 1044.74042Farhloul, M.; Fortin, M. 6 1999 Finite element simulation of dip coating. II: Non-Newtonian fluids. Zbl 0567.76003Tanguy, P.; Fortin, M.; Choplin, L. 6 1984 A method for finite element parallel viscous compressible flow calculations. Zbl 0815.76042Dutto, Laura C.; Habashi, Wagdi G.; Robichaud, Michel P.; Fortin, Michel 5 1994 Schwarz’s decomposition method for incompressible flow problems. Zbl 0652.76022Fortin, M.; Aboulaich, R. 5 1988 A mixed finite element for the Stokes problem using quadrilateral elements. Zbl 0834.76050Farhloul, Mohamed; Fortin, Michel 4 1995 An algebraic multilevel parallelizable preconditioner for large-scale CFD problems. Zbl 0923.76247Dutto, Laura C.; Habashi, Wagdi G.; Fortin, Michel 4 1997 Review and complements on mixed-hybrid finite element methods for fluid flows. Zbl 1134.76383Farhloul, M.; Fortin, M. 4 2002 Inexact block Jacobi-Broyden methods for solving nonlinear systems of equations. Zbl 0890.65044Yang, Geng; Dutto, Laura C.; Fortin, Michel 4 1997 A numerical simulation of the transition to turbulence in a two- dimensional flow. Zbl 0611.76071Fortin, A.; Fortin, M.; Gervais, J. J. 4 1987 Finite element simulation of dip coating. I: Newtonian fluids. Zbl 0567.76002Tanguy, P.; Fortin, M.; Choplin, L. 4 1984 Mixed and hybrid finite element methods for convection-diffusion equations and their relationships with finite volume. Zbl 1108.65116Fortin, M.; Mounim, Serghini A. 3 2005 On a new edge-based gradient recovery technique. Zbl 1352.65536Pouliot, B.; Fortin, M.; Fortin, A.; Chamberland, É. 3 2013 Parallelizable block diagonal preconditioners for the compressible Navier-Stokes equations. Zbl 0847.76032Dutto, Laura C.; Habashi, Wagdi G.; Fortin, Michel 3 1994 Error analysis of mixed finite elements for cylindrical shells. Zbl 0958.74075Yang, Geng; Delfour, Michel C.; Fortin, Michel 3 1999 A nonconforming mixed finite element for second-order elliptic problems. Zbl 0883.65087Farhloul, Mohamed; Fortin, Michel 3 1997 Calcul des écoulements d’un fluide visqueux incompressible. (Calculation of a incompressible viscous fluid flow.). Zbl 0232.76033Fortin, M.; Peyret, R.; Temam, R. 3 1971 Une note sur les méthodes de caractéristiques et de Lesaint-Raviart pour les problèmes hyperboliques stationnaires. (A note on the methods of characteristics and of Lesaint-Raviart for stationary hyperbolic problems). Zbl 0687.65088Fortin, Michel; Fortin, André 3 1989 Some special purpose preconditioners for conjugate gradient-like methods applied to CFD. Zbl 0778.76077Strigberger, J.; Baruzzi, G.; Habashi, W.; Fortin, M. 3 1993 A finite element method for Bingham fluid flows. Zbl 0463.76003Bercovier, M.; Engelman, M.; Fortin, M. 2 1980 Large-scale computational fluid dynamics by the finite element method. Zbl 0807.76034Habashi, W. G.; Robichaud, M.; Nguyen, V.-N.; Ghaly, W. S.; Fortin, M.; Liu, J. W. H. 2 1994 A posteriori estimation and mesh adaptation. (Estimation a posteriori et adaptation de maillages.) Zbl 0943.00026 2 2000 Analysis of a mixed finite element for the Stokes problem. II: Construction and error estimates. (Analyse d’un élément mixte pour le problème de Stokes. II: Construction et estimations d’erreur.) Zbl 0765.65114Fortin, M.; Mghazli, Z. 2 1992 A treatment of wall boundaries for turbulent flows by the use of a transmission finite element method. Zbl 0825.76428Manouzi, H.; Fortin, M. 2 1991 Simulation of the hydrodynamic model of semiconductor devices by a finite element method. Zbl 1017.82501Fortin, Michel; Yang, Geng; Perréal, Yves 2 1996 An improved finite element iterative method for three-dimensional fluid flow problems. Zbl 0687.76033Robichaud, M. P.; Tanguy, P. A.; Fortin, M. 2 1989 Numerical simulation of viscous flows in hydraulic turbomachinery by the finite element method. Zbl 0604.76028Fortin, A.; Fortin, M.; Tanguy, P. 2 1986 Development of new triangular elements for free surface flows. Zbl 0612.76013Dhatt, Gouri; Soulaimani, Azzeddine; Ouellet, Yvon; Fortin, Michel 2 1986 An updated Lagrangian method with error estimation and adaptive remeshing for very large deformation elasticity problems. Zbl 1352.74393Léger, S.; Fortin, A.; Tibirna, C.; Fortin, M. 1 2014 Domain decomposition methods for the Navier-Stokes equations. Zbl 0768.76047Fortin, M.; Aboulaich, R.; Kari, C.; Pitt, F. 1 1991 Numerical experiments on a posteriori error estimator. (Étude numérique d’estimations d’erreur a posteriori.) Zbl 0961.65094Pichelin, Élisabeth; Fortin, Michel; Boivin, Sylvain 1 2000 Utilisation de la méthode des éléments finis en mécanique des fluides. I. Zbl 0351.76030Fortin, M. 1 1976 Problèmes de surfaces libres en mécanique des fluides. (Free boundary problems in fluid mechanics). Zbl 0779.76022Fortin, Michel 1 1992 Two comments on: Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements. Zbl 0512.76002Fortin, Michel 1 1983 Numerical simulation of viscous flows in turbomachines. Zbl 0551.76023Fortin, A.; Fortin, M.; Tanguy, P. 1 1983 Preconditioned iteration for saddle-point systems with bound constraints arising in contact problems. Zbl 1297.74083El maliki, A.; Fortin, M.; Deteix, J.; Fortin, A. 1 2013 Anisotropic mesh adaptation through hierarchical error estimators. Zbl 1018.65124Fortin, Michel 1 2001 An anisotropic artificial viscosity method: Application to the simulation of compressible viscous flows. Zbl 0903.76050Boivin, S.; Fortin, M. 1 1996 Approximation des fonctions à divergence nulle par la méthode des éléments finis. Zbl 0277.76024Fortin, Michel 1 1973 Simulation of forming processes by FEM with a Bingham fluid model. Zbl 0591.76005Bercovier, M.; Engelman, M.; Fortin, M.; Goldberger, N. 1 1986 An updated Lagrangian method with error estimation and adaptive remeshing for very large deformation elasticity problems. Zbl 1352.74393Léger, S.; Fortin, A.; Tibirna, C.; Fortin, M. 1 2014 Mixed finite element methods and applications. Zbl 1277.65092Boffi, Daniele; Brezzi, Franco; Fortin, Michel 698 2013 On a new edge-based gradient recovery technique. Zbl 1352.65536Pouliot, B.; Fortin, M.; Fortin, A.; Chamberland, É. 3 2013 Preconditioned iteration for saddle-point systems with bound constraints arising in contact problems. Zbl 1297.74083El maliki, A.; Fortin, M.; Deteix, J.; Fortin, A. 1 2013 A fully optimal anisotropic mesh adaptation method based on a hierarchical error estimator. Zbl 1243.65143Bois, Richard; Fortin, Michel; Fortin, André 7 2012 An efficient hierarchical preconditioner for quadratic discretizations of finite element problems. Zbl 1249.65232El Maliki, A.; Guénette, R.; Fortin, M. 7 2011 Iterative solvers for 3D linear and nonlinear elasticity problems: displacement and mixed formulations. Zbl 1202.74005El Maliki, Abderrahman; Fortin, Michel; Tardieu, Nicolas; Fortin, André 9 2010 Reduced symmetry elements in linear elasticity. Zbl 1154.74041Boffi, Daniele; Brezzi, Franco; Fortin, Michel 65 2009 Finite elements for the Stokes problem. Zbl 1182.76895Boffi, Daniele; Brezzi, Franco; Fortin, Michel 14 2008 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051Brezzi, F.; Fortin, M.; Marini, L. D. 19 2006 Mixed and hybrid finite element methods for convection-diffusion equations and their relationships with finite volume. Zbl 1108.65116Fortin, M.; Mounim, Serghini A. 3 2005 Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. III: Unstructured meshes. Zbl 1101.76356Dompierre, Julien; Vallet, Marie-Gabrielle; Bourgault, Yves; Fortin, Michel; Habashi, Wagdi G. 39 2002 Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. II: Structured grids. Zbl 1101.76350Ait-Ali-Yahia, Djaffar; Baruzzi, Guido; Habashi, Wagdi G.; Fortin, Michel; Dompierre, Julien; Vallet, Marie-Gabrielle 18 2002 Review and complements on mixed-hybrid finite element methods for fluid flows. Zbl 1134.76383Farhloul, M.; Fortin, M. 4 2002 A minimal stabilisation procedure for mixed finite element methods. Zbl 1009.65067Brezzi, F.; Fortin, M. 103 2001 Anisotropic mesh adaptation through hierarchical error estimators. Zbl 1018.65124Fortin, Michel 1 2001 Anisotropic mesh adaption: Towards user-independent, mesh-independent and solver-independent CFD. I: General principles. Zbl 0981.76052Habashi, Wagdi G.; Dompierre, Julien; Bourgault, Yves; Ait-Ali-Yahia, Djaffar; Fortin, Michel; Vallet, Marie-Gabrielle 57 2000 A posteriori estimation and mesh adaptation. (Estimation a posteriori et adaptation de maillages.) Zbl 0943.00026 2 2000 Numerical experiments on a posteriori error estimator. (Étude numérique d’estimations d’erreur a posteriori.) Zbl 0961.65094Pichelin, Élisabeth; Fortin, Michel; Boivin, Sylvain 1 2000 A conservative stabilized finite element method for the magneto-hydrodynamic equations. Zbl 0938.76049Ben Salah, Nizar; Soulaimani, Azzeddine; Habashi, Wagdi G.; Fortin, Michel 21 1999 A mixed nonconforming finite element for the elasticity and Stokes problems. Zbl 1044.74042Farhloul, M.; Fortin, M. 6 1999 Error analysis of mixed finite elements for cylindrical shells. Zbl 0958.74075Yang, Geng; Delfour, Michel C.; Fortin, Michel 3 1999 Anisotropic mesh adaptation: A step towards a mesh-independent and user-independent CFD. Zbl 0940.76034Habashi, W. G.; Fortin, M.; Dompierre, J.; Vallet, M.-G.; Bourgault, Y. 9 1998 Dual hybrid methods for the elasticity and the Stokes problems: A unified approach. Zbl 0880.73064Farhloul, Mohamed; Fortin, Michel 47 1997 Numerical analysis of the modified EVSS method. Zbl 0896.76040Fortin, Michel; Guénette, Robert; Pierre, Roger 19 1997 An algebraic multilevel parallelizable preconditioner for large-scale CFD problems. Zbl 0923.76247Dutto, Laura C.; Habashi, Wagdi G.; Fortin, Michel 4 1997 Inexact block Jacobi-Broyden methods for solving nonlinear systems of equations. Zbl 0890.65044Yang, Geng; Dutto, Laura C.; Fortin, Michel 4 1997 A nonconforming mixed finite element for second-order elliptic problems. Zbl 0883.65087Farhloul, Mohamed; Fortin, Michel 3 1997 A directionally adaptive methodology using an edge-based error estimate on quadrilateral grids. Zbl 0884.76036Ait-Ali-Yahia, D.; Habashi, W. G.; Tam, A.; Vallet, M.-G.; Fortin, M. 16 1996 Simulation of the hydrodynamic model of semiconductor devices by a finite element method. Zbl 1017.82501Fortin, Michel; Yang, Geng; Perréal, Yves 2 1996 An anisotropic artificial viscosity method: Application to the simulation of compressible viscous flows. Zbl 0903.76050Boivin, S.; Fortin, M. 1 1996 A mixed finite element for the Stokes problem using quadrilateral elements. Zbl 0834.76050Farhloul, Mohamed; Fortin, Michel 4 1995 Finite element solution of compressible viscous flows using conservative variables. Zbl 0848.76039Soulaïmani, Azzeddine; Fortin, Michel 17 1994 A method for finite element parallel viscous compressible flow calculations. Zbl 0815.76042Dutto, Laura C.; Habashi, Wagdi G.; Robichaud, Michel P.; Fortin, Michel 5 1994 Parallelizable block diagonal preconditioners for the compressible Navier-Stokes equations. Zbl 0847.76032Dutto, Laura C.; Habashi, Wagdi G.; Fortin, Michel 3 1994 Large-scale computational fluid dynamics by the finite element method. Zbl 0807.76034Habashi, W. G.; Robichaud, M.; Nguyen, V.-N.; Ghaly, W. S.; Fortin, M.; Liu, J. W. H. 2 1994 Mixed finite element methods with continuous stresses. Zbl 0774.73066Brezzi, Franco; Fortin, Michel; Marini, L. Donatella 35 1993 A new mixed finite element for the Stokes and elasticity problems. Zbl 0777.76051Farhloul, M.; Fortin, M. 32 1993 Finite element solution of the Navier-Stokes equations. Zbl 0801.76043Fortin, Michel 13 1993 On finite element approximation and stabilization methods for compressible viscous flows. Zbl 0784.76048Fortin, M.; Manouzi, H.; Soulaimani, A. 8 1993 Some special purpose preconditioners for conjugate gradient-like methods applied to CFD. Zbl 0778.76077Strigberger, J.; Baruzzi, G.; Habashi, W.; Fortin, M. 3 1993 Stability analysis of discrete generalized Stokes problems. Zbl 0793.76052Fortin, M.; Pierre, R. 6 1992 Analysis of a mixed finite element for the Stokes problem. II: Construction and error estimates. (Analyse d’un élément mixte pour le problème de Stokes. II: Construction et estimations d’erreur.) Zbl 0765.65114Fortin, M.; Mghazli, Z. 2 1992 Problèmes de surfaces libres en mécanique des fluides. (Free boundary problems in fluid mechanics). Zbl 0779.76022Fortin, Michel 1 1992 Mixed and hybrid finite element methods. Zbl 0788.73002Brezzi, Franco; Fortin, Michel 2,911 1991 Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0751.73053Brezzi, Franco; Fortin, Michel; Stenberg, Rolf 94 1991 Finite element simulation of two- and three-dimensional free surface flows. Zbl 0761.76037Soulaïmani, A.; Fortin, M.; Dhatt, G.; Ouellet, Y. 26 1991 A treatment of wall boundaries for turbulent flows by the use of a transmission finite element method. Zbl 0825.76428Manouzi, H.; Fortin, M. 2 1991 Domain decomposition methods for the Navier-Stokes equations. Zbl 0768.76047Fortin, M.; Aboulaich, R.; Kari, C.; Pitt, F. 1 1991 An iterative implementation of the Uzawa algorithm for 3-D fluid flow problems. Zbl 0684.76038Robichaud, Michel P.; Tanguy, Philippe A.; Fortin, M. 9 1990 A preconditioned generalized minimal residual algorithm for the numerical solution of viscoelastic fluid flows. Zbl 0708.76012Fortin, André; Fortin, Michel 8 1990 Iterative stabilization of the bilinear velocity-constant pressure element. Zbl 0687.76029Fortin, M.; Boivin, S. 8 1990 Mixed-interpolated elements for Reissner-Mindlin plates. Zbl 0705.73238Brezzi, Franco; Bathe, Klaus-Jürgen; Fortin, Michel 89 1989 A new approach for the FEM simulation of viscoelastic flows. Zbl 0672.76010Fortin, Michel; Fortin, André 51 1989 On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows. Zbl 0692.76002Fortin, M.; Pierre, R. 40 1989 Une note sur les méthodes de caractéristiques et de Lesaint-Raviart pour les problèmes hyperboliques stationnaires. (A note on the methods of characteristics and of Lesaint-Raviart for stationary hyperbolic problems). Zbl 0687.65088Fortin, Michel; Fortin, André 3 1989 An improved finite element iterative method for three-dimensional fluid flow problems. Zbl 0687.76033Robichaud, M. P.; Tanguy, P. A.; Fortin, M. 2 1989 Schwarz’s decomposition method for incompressible flow problems. Zbl 0652.76022Fortin, M.; Aboulaich, R. 5 1988 Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel 148 1987 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 134 1987 A finite element procedure for viscoelastic flows. Zbl 0634.76007Fortin, M.; Esselaoui, D. 18 1987 Simple continuous pressure elements for two- and three-dimensional incompressible flows. Zbl 0608.76024Soulaimani, Azzeddine; Fortin, Michel; Ouellet, Yvon; Dhatt, Gouri; Bertrand, François 12 1987 A numerical simulation of the transition to turbulence in a two- dimensional flow. Zbl 0611.76071Fortin, A.; Fortin, M.; Gervais, J. J. 4 1987 Numerical approximation of Mindlin-Reissner plates. Zbl 0596.73058Brezzi, F.; Fortin, M. 66 1986 Numerical simulation of viscous flows in hydraulic turbomachinery by the finite element method. Zbl 0604.76028Fortin, A.; Fortin, M.; Tanguy, P. 2 1986 Development of new triangular elements for free surface flows. Zbl 0612.76013Dhatt, Gouri; Soulaimani, Azzeddine; Ouellet, Yvon; Fortin, Michel 2 1986 Simulation of forming processes by FEM with a Bingham fluid model. Zbl 0591.76005Bercovier, M.; Engelman, M.; Fortin, M.; Goldberger, N. 1 1986 Experiments with several elements for viscous incompressible flows. Zbl 0573.76032Fortin, M.; Fortin, A. 26 1985 A generalization of Uzawa’s algorithm for the solution of the Navier- Stokes equations. Zbl 0592.76040Fortin, M.; Fortin, A. 20 1985 A three-dimensional quadratic nonconforming element. Zbl 0577.65008Fortin, M. 18 1985 A stable finite element for the Stokes equations. Zbl 0593.76039Arnold, D. N.; Brezzi, F.; Fortin, M. 405 1984 Finite element simulation of dip coating. II: Non-Newtonian fluids. Zbl 0567.76003Tanguy, P.; Fortin, M.; Choplin, L. 6 1984 Finite element simulation of dip coating. I: Newtonian fluids. Zbl 0567.76002Tanguy, P.; Fortin, M.; Choplin, L. 4 1984 Augmented Lagrangian methods: Applications to the numerical solution of boundary-value problems. (Transl. from the French). Zbl 0525.65045 289 1983 A non-conforming piecewise quadratic finite element on triangles. Zbl 0514.73068Fortin, M.; Soulie, M. 73 1983 Two comments on: Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements. Zbl 0512.76002Fortin, Michel 1 1983 Numerical simulation of viscous flows in turbomachines. Zbl 0551.76023Fortin, A.; Fortin, M.; Tanguy, P. 1 1983 Methodes de Lagrangian augmente. Applications a la resolution numerique de problemes aux limites. Zbl 0491.65036 54 1982 Finite-difference solutions of a non-linear Schrödinger equation. Zbl 0477.65086Delfour, M.; Fortin, M.; Payre, G. 130 1981 Old and new finite elements for incompressible flows. Zbl 0467.76030Fortin, Michel 84 1981 A finite element method for Bingham fluid flows. Zbl 0463.76003Bercovier, M.; Engelman, M.; Fortin, M. 2 1980 Mixed finite-element methods for incompressible flow problems. Zbl 0395.76023Fortin, M.; Thomasset, F. 16 1979 An analysis of the convergence of mixed finite element methods. Zbl 0373.65055Fortin, Michel 99 1977 Utilisation de la méthode des éléments finis en mécanique des fluides. I. Zbl 0351.76030Fortin, M. 1 1976 Approximation des fonctions à divergence nulle par la méthode des éléments finis. Zbl 0277.76024Fortin, Michel 1 1973 Résolution numérique des équations de Navier-Stokes pour un fluide incompressible. (Numerical solution of Navier-Stokes equations for an incompressible fluid). Zbl 0225.76016Fortin, M.; Peyret, R.; Temam, R. 22 1971 Calcul des écoulements d’un fluide visqueux incompressible. (Calculation of a incompressible viscous fluid flow.). Zbl 0232.76033Fortin, M.; Peyret, R.; Temam, R. 3 1971 all cited Publications top 5 cited Publications all top 5 Cited by 5,168 Authors 99 Gatica, Gabriel N. 55 Carstensen, Carsten 47 Codina, Ramon 37 Oyarzúa, Ricardo 37 Ruiz-Baier, Ricardo 36 Cockburn, Bernardo 35 Fortin, Michel 35 Meddahi, Salim 35 Yotov, Ivan 33 Brezzi, Franco 33 Chen, Zhangxin 33 Zhang, Shangyou 32 Beirão da Veiga, Lourenço 32 Wheeler, Mary Fanett 30 Boffi, Daniele 30 Vohralík, Martin 29 He, Yinnian 29 Lovadina, Carlo 27 Wohlmuth, Barbara I. 27 Ye, Xiu 26 Stenberg, Rolf 24 Chen, Yanping 24 Duan, Huoyuan 24 Gastaldi, Lucia 24 Luo, Zhendong 24 Xu, Jinchao 22 Fortin, André 22 Sayas, Francisco-Javier 22 Xie, Xiaoping 21 Arbogast, Todd 21 Farhloul, Mohamed 21 Hughes, Thomas J. R. 21 Park, Eun-Jae 21 Repin, Sergeĭ Igorevich 20 Auricchio, Ferdinando 20 Di Pietro, Daniele Antonio 20 Franca, Leopoldo Luis Cabo Penna 20 Hu, Jun 20 Huang, Yunqing 20 Li, Jian 20 Manzini, Gianmarco 20 Marini, Luisa Donatella 20 Marquez-Duran, Antonio M. 20 Winther, Ragnar 19 Glowinski, Roland 19 Lamichhane, Bishnu Prasad 19 Sacco, Riccardo 18 Barrenechea, Gabriel R. 18 Cai, Zhiqiang 18 Cervera, Miguel 18 Chiumenti, Michele 18 Huang, Xuehai 18 Linke, Alexander 18 Nicaise, Serge 18 Quarteroni, Alfio M. 18 Rozza, Gianluigi 18 Rui, Hongxing 18 Schöberl, Joachim 17 Arnold, Douglas Norman 17 Mora, David 17 Soulaimani, Azzeddine 17 Wang, Junping 16 Chen, Jinru 16 Demkowicz, Leszek F. 16 Girault, Vivette 16 Hoppe, Ronald H. W. 16 Hou, Tianliang 16 Hu, Xiaozhe 16 Nakshatrala, K. B. 16 Nordbotten, Jan Martin 16 Qiu, Weifeng 16 Starke, Gerhard 16 Sun, Shuyu 16 Yang, Suh-Yuh 16 Yuan, Xiaoming 15 Ainsworth, Mark 15 Alduncin, Gonzalo 15 Badia, Santiago 15 Chen, Long 15 Chen, Shaochun 15 Farhat, Charbel H. 15 Fumagalli, Alessio 15 Lipnikov, Konstantin N. 15 Mu, Lin 15 Radu, Florin Adrian 15 Reddy, B. Dayanand 15 Xie, Hehu 14 Buffa, Annalisa 14 Falk, Richard S. 14 Hansbo, Peter 14 Kanschat, Guido 14 Kuznetsov, Yurii Alekseevich 14 Larson, Mats G. 14 Lee, Jeonghun J. 14 Ma, Changfeng 14 Nochetto, Ricardo Horacio 14 Olshanskii, Maxim A. 14 Pavarino, Luca Franco 14 Rodríguez, Rodolfo 14 Süli, Endre E. ...and 5,068 more Authors all top 5 Cited in 304 Serials 658 Computer Methods in Applied Mechanics and Engineering 243 Journal of Computational Physics 229 Computers & Mathematics with Applications 223 Journal of Computational and Applied Mathematics 212 Numerische Mathematik 207 Journal of Scientific Computing 200 Mathematics of Computation 173 International Journal for Numerical Methods in Engineering 144 Applied Mathematics and Computation 137 Applied Numerical Mathematics 122 Numerical Methods for Partial Differential Equations 119 SIAM Journal on Numerical Analysis 103 International Journal for Numerical Methods in Fluids 92 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 88 M\(^3\)AS. 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Series B 12 Abstract and Applied Analysis 12 East Asian Journal on Applied Mathematics 11 Computing and Visualization in Science 11 Journal of Applied Mathematics 11 Multiscale Modeling & Simulation 11 International Journal of Computational Methods 11 Boundary Value Problems 10 Journal of Applied Mathematics and Computing 10 S\(\vec{\text{e}}\)MA Journal 10 SMAI Journal of Computational Mathematics 9 Linear Algebra and its Applications 9 International Journal of Numerical Methods for Heat & Fluid Flow 8 Mathematical and Computer Modelling 8 Applied Mathematics. Series B (English Edition) 8 ETNA. Electronic Transactions on Numerical Analysis 8 Journal of Inequalities and Applications 8 European Journal of Mechanics. B. Fluids 8 Foundations of Computational Mathematics 8 Advances in Difference Equations 7 Journal of Computational Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Optimization Methods & Software 7 Nonlinear Analysis. Real World Applications 7 Frontiers of Mathematics in China 7 International Journal for Numerical Methods in Biomedical Engineering 6 International Journal of Engineering Science 6 Theoretical and Computational Fluid Dynamics 6 Applied Mathematics and Optimization 6 Acta Mathematicae Applicatae Sinica. English Series 6 SIAM Journal on Matrix Analysis and Applications 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Journal of Mathematical Imaging and Vision 6 Mathematics and Mechanics of Solids 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 6 Journal of Mathematical Fluid Mechanics 6 Engineering Computations 6 SIAM/ASA Journal on Uncertainty Quantification 5 Archive for Rational Mechanics and Analysis 5 SIAM Journal on Control and Optimization 5 European Journal of Applied Mathematics 5 Computational Mathematics and Mathematical Physics ...and 204 more Serials all top 5 Cited in 50 Fields 3,542 Numerical analysis (65-XX) 2,245 Fluid mechanics (76-XX) 1,537 Partial differential equations (35-XX) 1,169 Mechanics of deformable solids (74-XX) 244 Calculus of variations and optimal control; optimization (49-XX) 157 Optics, electromagnetic theory (78-XX) 132 Operations research, mathematical programming (90-XX) 95 Biology and other natural sciences (92-XX) 93 Classical thermodynamics, heat transfer (80-XX) 89 Geophysics (86-XX) 60 Statistical mechanics, structure of matter (82-XX) 47 Operator theory (47-XX) 44 Computer science (68-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 28 Probability theory and stochastic processes (60-XX) 27 Dynamical systems and ergodic theory (37-XX) 27 Integral equations (45-XX) 26 Quantum theory (81-XX) 25 Approximations and expansions (41-XX) 24 Global analysis, analysis on manifolds (58-XX) 24 Systems theory; control (93-XX) 19 Information and communication theory, circuits (94-XX) 18 Potential theory (31-XX) 18 Functional analysis (46-XX) 16 Real functions (26-XX) 16 Ordinary differential equations (34-XX) 11 Mechanics of particles and systems (70-XX) 8 Statistics (62-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 5 Combinatorics (05-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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