Edit Profile (opens in new tab) Pironneau, Olivier Compute Distance To: Compute Author ID: pironneau.olivier Published as: Pironneau, Olivier; Pironneau, O.; Pironneau, Oliver; Pironneau, O. R.; Pironeau, O. more...less Homepage: http://www.ann.jussieu.fr/pironneau/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 225 Publications since 1972, including 9 Books 15 Contributions as Editor · 4 Further Contributions Biographic References: 2 Publications Co-Authors: 125 Co-Authors with 198 Joint Publications 4,042 Co-Co-Authors all top 5 Co-Authors 39 single-authored 32 Glowinski, Roland 22 Achdou, Yves 21 Périaux, Jacques F. 19 Mohammadi, Bijan 17 Lions, Jacques-Louis 13 Hecht, Frédéric 10 Kuznetsov, Yurii Alekseevich 10 Perrier, Pierre C. 9 Bercovier, Michel 8 Bardos, Claude Williams 8 Bristeau, Marie-Odile 8 Poirier, Gérard 7 Chacon, Tomas 7 Papanicolaou, George C. 6 Bègue, Catherine 6 Bernardi, Christine 6 Polak, Elijah (Lucien) 6 Valentin, Frédéric 5 McLaughlin, David W. 4 Conca, Carlos 4 Del Pino, Stéphane 4 Fitzgibbon, William Edward 4 Murat, François 4 Neittaanmäki, Pekka J. 3 Cardot, B. 3 El Dabaghi, Fadi 3 Kawarada, Hideo 3 Loeper, Grégoire 3 Lozinski, Alexei 3 Mantel, Bertrand 2 Abdoulaev, Gassan S. 2 Brezzi, Franco 2 Cessenat, Michel 2 Chetverushkin, Boris Nikolaevich 2 Dautray, Robert 2 Dicesare, Nicolas 2 Dobrzynski, Cécile 2 Frey, Pascal Jean 2 Girault, Vivette 2 Gostaf, Kirill Pichon 2 Heikkola, Erkki 2 Hontand, Jean-Claude 2 Kavenoky, Alain 2 Lantos, Nicolas 2 Lascaux, Patrick 2 Laurière, Mathieu 2 Lipp, Tobias 2 Lucquin, Brigitte 2 Maury, Bertrand 2 Mercier, Bertrand 2 Mertz, Laurent 2 Miranker, Willard Lee 2 Pagès, Gilles 2 Parés Madroñal, Carlos 2 Prud’homme, Christophe 2 Ryhming, Inge Lennart 2 Sall, Guillaume 2 Savill, A. Mark 2 Sentis, Remi 2 Tabata, Masahisa 2 Truong, Thuan V. 2 Vallet, Marie-Gabrielle 1 Alauzet, Frédéric 1 Anger, Gottfried 1 Angrand, Françoise 1 Apoung Kamga, Jean-Baptiste 1 Artola, Michel 1 Aubert, Pierre 1 Auger, Pierre M. 1 Bamberger, Alain 1 Bensoussan, Alain 1 Berwald, G. 1 Bespalov, Alexander 1 Björck, Åke 1 Boffi, Daniele 1 Bohlin, Torsten 1 Botchorishvili, Ramaz 1 Castro-Díaz, Manuel Jesús 1 Chacón Rebollo, Tomás 1 Chan, Tony Fan-Cheong 1 Chavent, Guy 1 Cifka, J. 1 Cipolla, Vittorio 1 Cont, Rama 1 Conze, Antoine 1 Cornetti, Giovanni M. 1 Coron, François 1 Cullen, Michael John Priestley 1 Dean, Edward Jerome 1 Deregowski, S. M. 1 Deshpande, Suresh M. 1 Désidéri, Jean-Antoine 1 Donea, Jean 1 Edholm, Paul 1 Eldén, Lars 1 Elfving, Tommy 1 Engquist, Bjorn E. 1 Etgen, Garret J. 1 Frediani, Aldo 1 Geeraert, Sébastien ...and 79 more Co-Authors all top 5 Serials 12 International Journal for Numerical Methods in Fluids 9 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 8 Computer Methods in Applied Mechanics and Engineering 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 6 Numerische Mathematik 6 Comptes Rendus de l’Académie des Sciences. Série I 5 Chinese Annals of Mathematics. Series B 4 Journal of Fluid Mechanics 4 SIAM Journal on Numerical Analysis 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 Applied Mathematical Modelling 3 Methods and Applications of Analysis 3 Computational Methods in Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Optimal Control Applications & Methods 2 Journal of Scientific Computing 2 IMPACT of Computing in Science and Engineering 2 East-West Journal of Numerical Mathematics 2 International Journal of Computational Fluid Dynamics 2 Revue Européenne de Mécanique Numérique 2 SIAM Journal on Financial Mathematics 2 Numerical Mathematics and Scientific Computation 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Annales des Sciences Mathématiques du Québec 1 Applied Mathematics and Computation 1 Journal of Optimization Theory and Applications 1 Japanese Journal of Mathematics. New Series 1 Mathematical Programming 1 RAIRO. Analyse Numérique 1 SIAM Journal on Control and Optimization 1 Mathematical Modelling 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Journal de Mécanique Théorique et Appliquée 1 Applied Mathematical Finance 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 RIMS Kokyuroku 1 International Journal of Theoretical and Applied Finance 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie 1 Computational Geosciences 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Information 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIAM Journal on Control 1 Frontiers in Applied Mathematics 1 Lecture Notes in Physics 1 Lecture Notes in Computational Science and Engineering 1 Risk and Decision Analysis 1 Abhandlungen der Akademie der Wissenschaften der DDR 1 East Asian Journal on Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Springer Optimization and Its Applications 1 CMAS. Computational Methods in Applied Sciences all top 5 Fields 147 Fluid mechanics (76-XX) 131 Numerical analysis (65-XX) 90 Partial differential equations (35-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Systems theory; control (93-XX) 13 General and overarching topics; collections (00-XX) 12 Operations research, mathematical programming (90-XX) 10 Mechanics of deformable solids (74-XX) 8 Computer science (68-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 173 Publications have been cited 3,034 times in 2,310 Documents Cited by ▼ Year ▼ On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Zbl 0505.76100Pironneau, O. 261 1982 Optimal shape design for elliptic systems. Zbl 0496.93029Pironneau, O. 168 1982 Applied shape optimization for fluids. Zbl 0970.76003Mohammadi, Bijan; Pironneau, Olivier 165 2001 Optimal shape design for elliptic systems. Zbl 0534.49001Pironneau, Olivier 158 1984 On optimum design in fluid mechanics. Zbl 0281.76020Pironneau, O. 147 1974 Error estimates for finite element method solution of the Stokes problem in the primitive variables. Zbl 0423.65058Bercovier, M.; Pironneau, O. 132 1979 The finite element method for hyperbolic systems. Zbl 0665.73059Pironneau, O. 115 1989 Computational methods for option pricing. Zbl 1078.91008Achdou, Yves; Pironneau, Olivier 112 2005 On optimum profiles in Stokes flow. Zbl 0274.76022Pironneau, O. 101 1973 Effective boundary conditions for laminar flows over periodic rough boundaries. Zbl 0917.76013Achdou, Yves; Pironneau, O.; Valentin, F. 89 1998 Numerical methods for the first biharmonic equation and for the two- dimensional Stokes problem. Zbl 0427.65073Glowinski, R.; Pironneau, O. 83 1979 Anisotropic unstructured mesh adaption for flow simulations. Zbl 0902.76057Castro-Díaz, M. J.; Hecht, F.; Mohammadi, B.; Pironneau, O. 77 1997 Shape optimization in fluid mechanics. Zbl 1076.76020Mohammadi, Bijan; Pironneau, Olivier 72 2004 The Stokes and Navier-Stokes equations with boundary conditions involving the pressure. Zbl 0826.35093Conca, C.; Murat, F.; Pironneau, O. 66 1994 Mathematical analysis and numerical methods for science and technology. Vol. 6: Evolution problems II. With the collaboration of Claude Bardos, Michel Cessenat, Alain Kavenoky, Patrick Lascaux, Bertrand Mercier, Olivier Pironneau, Bruno Scheurer, Rémi Sentis. Transl. from the French by Alain Craig. Translation editor: Ian N. Sneddon. 2nd printing. Zbl 0956.35001Dautray, Robert; Lions, Jacques-Louis 39 2000 Convection of microstructure and related problems. Zbl 0622.76062McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O. R. 38 1985 Finite elements and characteristics for some parabolic-hyperbolic problems. Zbl 0505.65055Bercovier, M.; Pironneau, O.; Sastri, V. 38 1983 On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions. Zbl 0423.65059Glowinski, R.; Pironneau, O. 36 1979 Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. Zbl 1155.76322Sani, R. L.; Shen, J.; Pironneau, O.; Gresho, P. M. 34 2006 Rate of convergence of a class of methods of feasible directions. Zbl 0283.65032Pironneau, O.; Polak, E. 33 1973 Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M. 32 1995 Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier 30 2005 On the rate of convergence of certain methods of centers. Zbl 0248.90048Pironneau, O.; Polak, E. 29 1972 Finite element methods for Navier-Stokes equations. Zbl 0743.76051Glowinski, Roland; Pironneau, Olivier 29 1992 A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342Nolen, James; Papanicolaou, George; Pironneau, Olivier 29 2008 Les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression. (On Stokes and Navier-Stokes equations with boundary condition on the pressure). Zbl 0687.35069Begue, C.; Conca, C.; Murat, F.; Pironneau, O. 29 1988 On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems. Zbl 0423.76047Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P. 28 1979 Applied shape optimization for fluids. 2nd ed. Zbl 1179.65002Mohammadi, Bijan; Pironneau, Olivier 26 2009 Finite element methods for the fluids. (Méthodes des éléments finis pour les fluides.) Zbl 0748.76003Pironneau, Olivier 25 1988 Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains. Zbl 0761.76073Pironneau, O.; Liou, J.; Tezduyar, T. 25 1992 Application of optimal control and finite element methods to the calculation of transonic flows and incompressible viscous flows. Zbl 0449.76002Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P.; Poirier, G. 23 1980 Dynamic programming for mean-field type control. (Programmation dynamique pour les problèmes de contrôle à champs.) Zbl 1310.90117Laurière, Mathieu; Pironneau, Olivier 22 2014 A nouveau sur les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression. (Going back to Stokes and Navier- Stokes equations with boundary conditions on the pressure). Zbl 0613.76029Bègue, Catherine; Conca, Carlos; Murat, François; Pironneau, Olivier 21 1987 Analysis of a Chimera method. Zbl 0988.65117Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier 21 2001 On the shallow water equations at low Reynolds number. Zbl 0723.76033Bernardi, Christine; Pironneau, Olivier 21 1991 Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow. Zbl 0760.76044Dean, E. J.; Glowinski, R.; Pironneau, O. 20 1991 Constructing wall laws with domain decomposition or asymptotic expansion techniques. Zbl 0920.76063Achdou, Y.; Le Tallec, P.; Valentin, F.; Pironneau, O. 20 1998 A formalism for the differentiation of conservation laws. Zbl 1020.35052Bardos, Claude; Pironneau, Olivier 19 2002 On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. II: Application to transonic flow simulations. Zbl 0555.76046Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Périaux, J.; Perrier, P.; Poirier, G. 19 1985 Domain decomposition and wall laws. Zbl 0834.76014Achdou, Yves; Pironneau, Olivier 18 1995 Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type. Zbl 1211.65119Pironneau, O.; Tabata, M. 18 2010 Conditions aux limites sur la pression pour les équations de Stokes et de Navier-Stokes. (Boundary conditions on the pressure for the Stokes and the Navier-Stokes equations). Zbl 0613.76028Pironneau, Olivier 18 1986 Rough boundaries and wall laws. Zbl 0904.76031Mohammadi, Bijan; Pironneau, Olivier; Valentin, Frederic 17 1998 On the numerical computation of the minimum-drag profile in laminar flow. Zbl 0323.76024Glowinski, R.; Pironneau, O. 17 1975 A fast solver for Navier-Stokes equations in the laminar regime using mortar finite element and boundary element methods. Zbl 0833.76032Achdou, Y.; Pironneau, O. 17 1995 Mesh adaption for the Black and Scholes equations. Zbl 0995.91026Pironneau, O.; Hecht, F. 16 2000 Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws. Zbl 1022.65099Botchorishvili, Ramaz; Pironneau, Olivier 16 2003 On numerical methods for the Stokes problem. Zbl 0415.76024Glowinski, R.; Pironneau, O. 14 1979 Analyse mathématique et calcul numérique pour les sciences et les techniques. Volume 9: Évolution: numérique, transport. (Mathematical analysis and numerical methods for science and technology. Volume 9: Evolution: numerical methods, transport equations). Tirage en 9 volumes brochés, reproduction intégrale de l’ouvrage paru en trois tomes reliés, chez Masson en 1984 et 1985. Tirage en 9 volumes brochés, reproduction intégrale de l’ouvrage paru en trois tomes reliés, chez Masson en 1984 et 1985. (Analyse mathématique et calcul numérique pour les sciences et les techniques. Volume 9: Évolution: numérique, transport.) Zbl 0749.35005Dautray, Robert; Lions, Jacques-Louis; Artola, Michel; Bardos, Claude; Cessenat, Michel; Kavenoky, Alain; Lascaux, Patrick; Mercier, Bertrand; Pironneau, Olivier; Sentis, Rémi 13 1988 Substructuring preconditioners for the \(Q_ 1\) mortar element method. Zbl 0840.65122Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O. 13 1995 Applied optimal shape design. Zbl 1018.76039Mohammadi, B.; Pironneau, O. 12 2002 Optimal swimming of flagellated micro-organisms. Zbl 0295.76084Pironneau, O.; Katz, D. F. 11 1974 A reduced basis for option pricing. Zbl 1227.91033Cont, Rama; Lantos, Nicolas; Pironneau, Olivier 11 2011 Stream vectors in three dimensional aerodynamics. Zbl 0625.76009El Dabaghi, Fadi; Pironneau, Olivier 10 1986 Data assimilation for conservation laws. Zbl 1114.35122Bardos, Claude; Pironneau, Olivier 9 2005 Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O. 8 2016 A few tools for turbulence models in Navier-Stokes equations. Zbl 1189.76110Cardot, B.; Mohammadi, B.; Pironneau, O. 8 1993 Consistent approximations and approximate functions and gradients in optimal control. Zbl 1011.49020Pironneau, Olivier; Polak, Elijah 8 2002 Automatic differentiation in C++ using expression templates and application to a flow control problem. Zbl 0966.68029Aubert, Pierre; Di Césaré, Nicolas; Pironneau, Olivier 8 2001 Sensitivity of Darcy’s law to discontinuities. Zbl 1040.35067Bernardi, C.; Pironneau, O. 8 2003 A dual method for optimal control problems with initial and final boundary constraints. Zbl 0238.49020Pironneau, O.; Polak, E. 7 1973 Some notes on periodic Beltrami fields in Cartesian geometry. Zbl 0850.76027McLaughlin, D.; Pironneau, O. 7 1991 Optimization of a photocell. Zbl 0764.49021Achdou, Y.; Pironneau, O. 7 1991 A mixed PDE/Monte-Carlo method for stochastic volatility models. Zbl 1168.91018Loeper, Grégoire; Pironneau, Olivier 7 2009 Domain decomposition methods for CAD. Zbl 0937.68140Lions, Jacques-Louis; Pironneau, Olivier 7 1999 On the problems of riblets as a drag reduction device. Zbl 0667.49002Arumugam, G.; Pironneau, O. 7 1989 An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise. Zbl 1210.37060Bensoussan, Alain; Mertz, Laurent; Pironneau, Olivier; Turi, Janos 7 2009 Towards the computation of minimum drag profiles in viscous laminar flow. Zbl 0361.76035Glowinski, R.; Pironneau, O. 7 1976 Characteristics and the finite element method. Zbl 0508.76007Bercovier, M.; Pironneau, O. 7 1982 Dynamic programming for mean-field type control. Zbl 1342.35420Laurière, Mathieu; Pironneau, Olivier 6 2016 Characteristic-Galerkin and the particle method for the convection- diffusion equation and the Navier-Stokes equations. Zbl 0751.76047Pironneau, O.; Huberson, S. 6 1991 Shape control versus boundary control. Zbl 0920.35020Achdou, Yves; Pironneau, Olivier; Valentin, Frédéric 6 1998 Domain decomposition and wall laws. Zbl 0931.76077Achdou, Y.; Mohammadi, B.; Pironneau, O.; Valentin, F. 6 1998 Introduction to scientific computing. Transl. from the French by Michel Kern. Zbl 0899.65062Lucquin, Brigitte; Pironneau, Olivier 6 1998 A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution. Zbl 0426.65064Bristeau, M. O.; Glowinski, R.; Mantel, B.; Periaux, J.; Perrier, P.; Pironneau, O. 6 1980 Numerical analysis for compressible viscous isentropic stationary flows. Zbl 0702.76073Pironneau, O.; Rappaz, J. 6 1989 The vortex method with finite elements. Zbl 0488.65049Bardos, Claude; Bercovier, Michel; Pironneau, Olivier 6 1981 Unsteady separated turbulent flows computation with wall-laws and \(k\)-\(\varepsilon\) model. Zbl 0923.76190Mohammadi, Bijan; Pironneau, Olivier 5 1997 Numerical zoom for multiscale problems with an application to nuclear waste disposal. Zbl 1261.76014Apoung Kamga, Jean-Baptiste; Pironneau, Olivier 5 2007 Numerical procedure for calibration of volatility with American options. Zbl 1138.91414Achdou, Yves; Pironneau, Olivier 5 2005 Fictitious domains with separable preconditioners versus unstructured adapted meshes. Zbl 0760.76068Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle 5 1992 Parallel algorithms for boundary value problems. (Algorithmes parallèles pour la solution de problèmes aux limites.) Zbl 0918.65071Lions, Jacques-Louis; Pironneau, Olivier 5 1998 Mesh adaption and automatic differentiation in a CAD-free framework for optimal shape design. Zbl 0922.76264Mohammadi, Bijan; Pironneau, Olivier 5 1999 Pressure boundary conditions for blood flows. Zbl 1322.76078Gostaf, Kirill P.; Pironneau, Olivier 5 2015 Optimal shape design by local boundary variations. Zbl 0966.35019Pironneau, Olivier 5 2000 Reduced basis for vanilla and basket options. Zbl 1409.91280Pironneau, Olivier 5 2011 The parareal algorithm for American options. (La méthode pararéelle pour les options américaines.) Zbl 1348.91286Pagès, Gilles; Pironneau, Olivier; Sall, Guillaume 5 2016 Fast and accurate simulations of air-cooled structures. Zbl 1176.76062Dobrzynski, Cécile; Frey, Pascal J.; Mohammadi, Bijan; Pironneau, Olivier 4 2006 Decomposition of energy spaces and applications. Zbl 0938.65081Glowinski, Roland; Lions, Jacques-Louis; Pironneau, Olivier 4 1999 Dupire-like identities for complex options. Zbl 1371.91182Pironneau, Olivier 4 2007 Transonic flow simulations by finite elements and least square methods. Zbl 0478.76073Bristeau, M. O.; Glowinski, R.; Periaux, J.; Perrier, P.; Pironneau, O.; Poirier, G. 4 1980 A priori domain decomposition of PDE systems and applications. Zbl 1004.65133Del Pino, S.; Lions, J. L.; Pironneau, O. 4 2002 Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations. Zbl 0760.76041Achdou, Yves; Glowinski, Roland; Pironneau, Olivier 4 1992 Estimations d’erreurs pour la résolution du problème de Stokes en éléments finis conformes de Lagrange. Zbl 0377.65055Bercovier, Michel; Pironneau, Olivier 4 1977 Approximation par éléments finis mixtes du problème de Stokes en formulation vitesse-pression. Convergence des solutions approchees. Zbl 0377.65056Glowinski, Roland; Pironneau, Olivier 4 1978 Numerical zoom for advection-diffusion problems with localized multiscales. Zbl 1211.76072Lozinski, Alexei; Pironneau, Olivier 4 2011 Volatility smile by multilevel least square. Zbl 1107.91319Achdou, Yves; Pironneau, Olivier 4 2002 The \(\chi\)-method for the Navier-Stokes equations. Zbl 0780.76017Achdou, Yves; Pironneau, Olivier 3 1993 Coupling mortar finite element and boundary element methods for 2D Navier-Stokes equations. Zbl 0813.76037Achdou, Y.; Pironneau, O. 3 1994 A particle in cell method for the 2-D compressible Euler equations. Zbl 0872.76076Mas-Gallic, S.; Louaked, M.; Pironneau, O. 3 1993 An energy stable monolithic Eulerian fluid-structure numerical scheme. Zbl 1386.76104Pironneau, Olivier 2 2018 Finite difference scheme for one system of nonlinear partial integro-differential equations. Zbl 1427.65164Hecht, Frederic; Jangveladze, Temur; Kiguradze, Zurab; Pironneau, Olivier 2 2018 Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O. 8 2016 Dynamic programming for mean-field type control. Zbl 1342.35420Laurière, Mathieu; Pironneau, Olivier 6 2016 The parareal algorithm for American options. (La méthode pararéelle pour les options américaines.) Zbl 1348.91286Pagès, Gilles; Pironneau, Olivier; Sall, Guillaume 5 2016 Variational analysis and aerospace engineering. Mathematical challenges for the aerospace of the future. Based on the presentations at the workshop, Erice, Italy, 2015. Zbl 1355.93004 2 2016 Pressure boundary conditions for blood flows. Zbl 1322.76078Gostaf, Kirill P.; Pironneau, Olivier 5 2015 Dynamic programming for mean-field type control. (Programmation dynamique pour les problèmes de contrôle à champs.) Zbl 1310.90117Laurière, Mathieu; Pironneau, Olivier 22 2014 Finite element analysis of multi-component assemblies: CAD-based domain decomposition. Zbl 1454.74141Gostaf, Kirill Pichon; Pironneau, Olivier; Roux, François-Xavier 1 2014 Mixing Monte-Carlo and partial differential equations for pricing options. Zbl 1264.91139Lipp, Tobias; Loeper, Grégoire; Pironneau, Olivier 3 2013 Implementation of a low-order mimetic elements in freefem++. Zbl 1267.65127Dalal, D.; Hecht, F.; Pironneau, O. 3 2012 Continuous and discrete adjoints to the Euler equations for fluids. Zbl 1412.76066Alauzet, F.; Pironneau, O. 2 2012 Pricing futures by deterministic methods. Zbl 1272.91122Pironneau, Olivier 1 2012 A reduced basis for option pricing. Zbl 1227.91033Cont, Rama; Lantos, Nicolas; Pironneau, Olivier 11 2011 Reduced basis for vanilla and basket options. Zbl 1409.91280Pironneau, Olivier 5 2011 Numerical zoom for advection-diffusion problems with localized multiscales. Zbl 1211.76072Lozinski, Alexei; Pironneau, Olivier 4 2011 Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type. Zbl 1211.65119Pironneau, O.; Tabata, M. 18 2010 Finite element characteristic methods requiring no quadrature. Zbl 1203.76087Pironneau, Olivier 3 2010 Applied shape optimization for fluids. 2nd ed. Zbl 1179.65002Mohammadi, Bijan; Pironneau, Olivier 26 2009 A mixed PDE/Monte-Carlo method for stochastic volatility models. Zbl 1168.91018Loeper, Grégoire; Pironneau, Olivier 7 2009 An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise. Zbl 1210.37060Bensoussan, Alain; Mertz, Laurent; Pironneau, Olivier; Turi, Janos 7 2009 Calibration of options on a reduced basis. Zbl 1173.91398Pironneau, Olivier 3 2009 Numerical zoom and the Schwarz algorithm. Zbl 1183.65162Hecht, Frédéric; Lozinski, Alexei; Pironneau, Olivier 2 2009 The forward Kolmogorov equation for two dimensional options. Zbl 1154.91436Conze, Antoine; Lantos, Nicolas; Pironneau, Olivier 1 2009 Numerical zoom for multiscale problems with an application to flows through porous media. Zbl 1156.76033Hecht, Frédéric; Lozinski, Alexei; Perronnet, Alain; Pironneau, Olivier 1 2009 Partial differential equations for option pricing. Zbl 1180.91311Pironneau, Olivier; Achdou, Yves 1 2009 A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342Nolen, James; Papanicolaou, George; Pironneau, Olivier 29 2008 Theory and practice of optimal shape design. Zbl 1292.76003Mohammadi, Bijan; Pironneau, Olivier 3 2008 Numerical zoom for multiscale problems with an application to nuclear waste disposal. Zbl 1261.76014Apoung Kamga, Jean-Baptiste; Pironneau, Olivier 5 2007 Dupire-like identities for complex options. Zbl 1371.91182Pironneau, Olivier 4 2007 Coupling and adaptation of anisotropic meshes for simulations of air flow in complex geometries. (Couplage et adaptation de maillage anisotrope pour des simulations de flux d’air dans des géométries complexes.) Zbl 1292.76041Dobrzynski, Cécile; Frey, Pascal; Pironneau, Olivier 2 2007 Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. Zbl 1155.76322Sani, R. L.; Shen, J.; Pironneau, O.; Gresho, P. M. 34 2006 Fast and accurate simulations of air-cooled structures. Zbl 1176.76062Dobrzynski, Cécile; Frey, Pascal J.; Mohammadi, Bijan; Pironneau, Olivier 4 2006 A vector Hamilton-Jacobi formulation for the numerical simulation of Euler flows. Zbl 1134.76057Hoch, Philippe; Pironneau, Olivier 1 2006 Computational methods for option pricing. Zbl 1078.91008Achdou, Yves; Pironneau, Olivier 112 2005 Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier 30 2005 Data assimilation for conservation laws. Zbl 1114.35122Bardos, Claude; Pironneau, Olivier 9 2005 Numerical procedure for calibration of volatility with American options. Zbl 1138.91414Achdou, Yves; Pironneau, Olivier 5 2005 Domain decomposition methods in science and engineering. XV. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Zbl 1049.65003 1 2005 Shape optimization in fluid mechanics. Zbl 1076.76020Mohammadi, Bijan; Pironneau, Olivier 72 2004 Asymptotic analysis and layer decomposition for the Couplex exercise. Zbl 1060.86004Del Pino, Stephane; Pironneau, Olivier 3 2004 Volatility calibration with American options. Zbl 1177.91121Achdou, Yves; Indragoby, Govindaraj; Pironneau, Olivier 2 2004 Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws. Zbl 1022.65099Botchorishvili, Ramaz; Pironneau, Olivier 16 2003 Sensitivity of Darcy’s law to discontinuities. Zbl 1040.35067Bernardi, C.; Pironneau, O. 8 2003 Computer solutions of Maxwell’s equations in homogeneous media. Zbl 1037.78009Pironneau, O. 2 2003 Numerical methods for scientific computing. Variational problems and applications. Zbl 1158.65006 1 2003 Shape sensitivity and design for fluids with shocks. Zbl 1043.76535Pironneau, Olivier 1 2003 A formalism for the differentiation of conservation laws. Zbl 1020.35052Bardos, Claude; Pironneau, Olivier 19 2002 Applied optimal shape design. Zbl 1018.76039Mohammadi, B.; Pironneau, O. 12 2002 Consistent approximations and approximate functions and gradients in optimal control. Zbl 1011.49020Pironneau, Olivier; Polak, Elijah 8 2002 A priori domain decomposition of PDE systems and applications. Zbl 1004.65133Del Pino, S.; Lions, J. L.; Pironneau, O. 4 2002 Volatility smile by multilevel least square. Zbl 1107.91319Achdou, Yves; Pironneau, Olivier 4 2002 Derivative with respect to discontinuities in the porosity. Zbl 1013.76085Bernardi, Christine; Pironneau, Olivier 3 2002 Consistent approximations, automatic differentiation and domain decomposition for optimal shape design. Zbl 1082.93588Pironneau, Olivier; Dicesare, Nicolas 3 2002 Control of transonic shock positions. Zbl 1069.35043Pironneau, Olivier 1 2002 Applied shape optimization for fluids. Zbl 0970.76003Mohammadi, Bijan; Pironneau, Olivier 165 2001 Analysis of a Chimera method. Zbl 0988.65117Brezzi, Franco; Lions, Jacques-Louis; Pironneau, Olivier 21 2001 Automatic differentiation in C++ using expression templates and application to a flow control problem. Zbl 0966.68029Aubert, Pierre; Di Césaré, Nicolas; Pironneau, Olivier 8 2001 A finite element problem issued from fictious domain techniques. Zbl 1002.65127Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O. 3 2001 High precision with low order finite elements. Zbl 1063.65106Lions, Jacques-Louis; Pironneau, Olivier 1 2001 Mathematical analysis and numerical methods for science and technology. Vol. 6: Evolution problems II. With the collaboration of Claude Bardos, Michel Cessenat, Alain Kavenoky, Patrick Lascaux, Bertrand Mercier, Olivier Pironneau, Bruno Scheurer, Rémi Sentis. Transl. from the French by Alain Craig. Translation editor: Ian N. Sneddon. 2nd printing. Zbl 0956.35001Dautray, Robert; Lions, Jacques-Louis 39 2000 Mesh adaption for the Black and Scholes equations. Zbl 0995.91026Pironneau, O.; Hecht, F. 16 2000 Optimal shape design by local boundary variations. Zbl 0966.35019Pironneau, Olivier 5 2000 Overlapping domain decomposition of evolution operators. Zbl 0960.65102Lions, Jacques-Louis; Pironneau, Olivier 3 2000 Non-overlapping domain decomposition for evolution operators. Zbl 0960.65103Lions, Jacques-Louis; Pironneau, Olivier 2 2000 Virtual control, replicas and decomposition of operators. Zbl 0962.93020Lions, Jacques-Louis; Pironneau, Olivier 1 2000 Domain decomposition methods for CAD. Zbl 0937.68140Lions, Jacques-Louis; Pironneau, Olivier 7 1999 Mesh adaption and automatic differentiation in a CAD-free framework for optimal shape design. Zbl 0922.76264Mohammadi, Bijan; Pironneau, Olivier 5 1999 Decomposition of energy spaces and applications. Zbl 0938.65081Glowinski, Roland; Lions, Jacques-Louis; Pironneau, Olivier 4 1999 Numerical models for turbulent flows in complex geometries. (Modèles numériques pour les écoulements turbulents dans des géométries complexes.) Zbl 0929.76111Pironneau, Olivier 1 1999 Effective boundary conditions for laminar flows over periodic rough boundaries. Zbl 0917.76013Achdou, Yves; Pironneau, O.; Valentin, F. 89 1998 Constructing wall laws with domain decomposition or asymptotic expansion techniques. Zbl 0920.76063Achdou, Y.; Le Tallec, P.; Valentin, F.; Pironneau, O. 20 1998 Rough boundaries and wall laws. Zbl 0904.76031Mohammadi, Bijan; Pironneau, Olivier; Valentin, Frederic 17 1998 Shape control versus boundary control. Zbl 0920.35020Achdou, Yves; Pironneau, Olivier; Valentin, Frédéric 6 1998 Domain decomposition and wall laws. Zbl 0931.76077Achdou, Y.; Mohammadi, B.; Pironneau, O.; Valentin, F. 6 1998 Introduction to scientific computing. Transl. from the French by Michel Kern. Zbl 0899.65062Lucquin, Brigitte; Pironneau, Olivier 6 1998 Parallel algorithms for boundary value problems. (Algorithmes parallèles pour la solution de problèmes aux limites.) Zbl 0918.65071Lions, Jacques-Louis; Pironneau, Olivier 5 1998 Nonmatching grids for fluids. Zbl 0919.76045Achdou, Yves; Abdoulaev, Gassan; Hontand, Jean-Claude; Kuznetsov, Yuri A.; Pironneau, Olivier; Prud’homme, Christophe 3 1998 On the control of distributed systems in parallel. (Sur le contrôle parallèle des systèmes distribués.) Zbl 0926.93032Lions, Jacques-Louis; Pironneau, Olivier 2 1998 Anisotropic unstructured mesh adaption for flow simulations. Zbl 0902.76057Castro-Díaz, M. J.; Hecht, F.; Mohammadi, B.; Pironneau, O. 77 1997 Unsteady separated turbulent flows computation with wall-laws and \(k\)-\(\varepsilon\) model. Zbl 0923.76190Mohammadi, Bijan; Pironneau, Olivier 5 1997 Introduction to scientific computing. (Introduction au calcul scientifique.) Zbl 0907.65105Lucquin, Brigitte; Pironneau, Olivier 3 1996 A mortar element method for an approximate Navier-Stokes solver. Zbl 0871.76037Achdou, Y.; Kuznetsov, Y.; Pironneau, O. 1 1996 Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M. 32 1995 Domain decomposition and wall laws. Zbl 0834.76014Achdou, Yves; Pironneau, Olivier 18 1995 A fast solver for Navier-Stokes equations in the laminar regime using mortar finite element and boundary element methods. Zbl 0833.76032Achdou, Y.; Pironneau, O. 17 1995 Substructuring preconditioners for the \(Q_ 1\) mortar element method. Zbl 0840.65122Achdou, Y.; Kuznetsov, Yu. A.; Pironneau, O. 13 1995 Applied mathematics and turbulence modelling. Zbl 0836.76041Mohammadi, B.; Pironneau, O. 3 1995 New tools for automatic aerodynamic shape design. Zbl 0875.76494Mohammadi, Bijan; Pironneau, Olivier 2 1995 The Stokes and Navier-Stokes equations with boundary conditions involving the pressure. Zbl 0826.35093Conca, C.; Murat, F.; Pironneau, O. 66 1994 Coupling mortar finite element and boundary element methods for 2D Navier-Stokes equations. Zbl 0813.76037Achdou, Y.; Pironneau, O. 3 1994 Small perturbations and Euler equations for aeroelasticity. (Petites perturbations et équations d’Euler pour l’aéroélasticité.) Zbl 0820.76071Bardos, C.; Pironneau, O. 1 1994 A few tools for turbulence models in Navier-Stokes equations. Zbl 1189.76110Cardot, B.; Mohammadi, B.; Pironneau, O. 8 1993 The \(\chi\)-method for the Navier-Stokes equations. Zbl 0780.76017Achdou, Yves; Pironneau, Olivier 3 1993 A particle in cell method for the 2-D compressible Euler equations. Zbl 0872.76076Mas-Gallic, S.; Louaked, M.; Pironneau, O. 3 1993 Finite element methods for Navier-Stokes equations. Zbl 0743.76051Glowinski, Roland; Pironneau, Olivier 29 1992 Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains. Zbl 0761.76073Pironneau, O.; Liou, J.; Tezduyar, T. 25 1992 Fictitious domains with separable preconditioners versus unstructured adapted meshes. Zbl 0760.76068Bespalov, Alexander; Kuznetsov, Yuri; Pironneau, Olivier; Vallet, Marie- Gabrielle 5 1992 Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations. Zbl 0760.76041Achdou, Yves; Glowinski, Roland; Pironneau, Olivier 4 1992 Integral equations for the generalized Stokes operator. Zbl 0754.76057Achdou, Yves; Pironneau, Olivier 2 1992 ...and 73 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,172 Authors 49 Pironneau, Olivier 36 Glowinski, Roland 27 Allaire, Grégoire 25 Mohammadi, Bijan 22 Ma, Yichen 21 Vázquez Cendón, Carlos 20 Bernardi, Christine 18 Gao, Zhiming 18 Harbrecht, Helmut 18 He, Yinnian 16 Mai Duc Thanh 15 Giannakoglou, Kyriakos C. 15 Tabata, Masahisa 14 Dapogny, Charles 14 El-Amrani, Mofdi 14 Hecht, Frédéric 14 Seaïd, Mohammed 13 Chacón Rebollo, Tomás 13 Périaux, Jacques F. 12 Haslinger, Jaroslav 12 Pan, Tsorng-Whay 11 Alvarez-Vázquez, Lino Jose 11 Chinesta, Francisco 11 Gatica, Gabriel N. 11 Kawahara, Mutsuto 11 Liu, Steve Wenbin 11 Martinez, Aurea 11 Olshanskii, Maxim A. 11 Papadimitriou, Dimitrios I. 11 Polak, Elijah (Lucien) 11 Yan, Wenjing 10 Bermejo, Rodolfo 10 Jian, Jinbao 10 Notsu, Hirofumi 10 Quarteroni, Alfio M. 10 Zhu, Shengfeng 9 Abdelwahed, Mohamed 9 Duan, Xianbao 9 Durany, José 9 Frey, Pascal Jean 9 Jouve, François 9 Ruas, Vitoriano 9 Rui, Hongxing 9 Si, Zhiyong 9 Vázquez-Méndez, Miguel Ernesto 9 Wang, Hong 9 Zuazua, Enrique 8 Azegami, Hideyuki 8 Bermúdez, Alfredo 8 Ewing, Richard Edward 8 Gérard-Varet, David 8 Girault, Vivette 8 Glau, Kathrin 8 Neittaanmäki, Pekka J. 8 Picasso, Marco 8 Quartapelle, Luigi 8 San Martín, Jorge Alonso 7 Alauzet, Frédéric 7 Amara, Mohamed 7 Amrouche, Chérif 7 Bresch, Didier 7 Čanić, Sunčica 7 Cuong, Dao Huy 7 Feng, Xinlong 7 Hansbo, Peter 7 Hughes, Thomas J. R. 7 Li, Kaitai 7 Marušić-Paloka, Eduard 7 Maute, Kurt 7 Nishiwaki, Shinji 7 Oñate Ibáñez de Navarra, Eugenio 7 Pažanin, Igor 7 Rappaz, Jacques 7 Ruiz-Baier, Ricardo 7 Schulz, Volker H. 7 Wohlmuth, Barbara I. 6 Achdou, Yves 6 Bensoussan, Alain 6 Bristeau, Marie-Odile 6 Carey, Graham Francis 6 Chen, Zhangxin 6 Chung, Tsz Shun Eric 6 Dalibard, Anne-Laure 6 Eppler, Karsten 6 Franca, Leopoldo Luis Cabo Penna 6 Fu, Hongfei 6 Guermond, Jean-Luc 6 Guidoboni, Giovanna 6 Hassine, Maatoug 6 He, Jiwen 6 Iollo, Angelo 6 Izui, Kazuhiro 6 Kostreva, Michael M. 6 Lapin, Aleksandr Vasil’evich 6 Le Tallec, Patrick 6 Li, Jian 6 Lozinski, Alexei 6 Maday, Yvon 6 Mittal, Sanjay 6 Murea, Cornel Marius ...and 3,072 more Authors all top 5 Cited in 314 Serials 216 Computer Methods in Applied Mechanics and Engineering 167 Journal of Computational Physics 91 Computers and Fluids 70 Journal of Computational and Applied Mathematics 67 Journal of Scientific Computing 53 Computers & Mathematics with Applications 53 Applied Mathematics and Computation 51 Journal of Optimization Theory and Applications 49 Numerische Mathematik 45 International Journal for Numerical Methods in Fluids 45 Applied Numerical Mathematics 43 International Journal of Computational Fluid Dynamics 38 Comptes Rendus. 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Analyse Numérique 4 Optimal Control Applications & Methods 4 Zeitschrift für Analysis und ihre Anwendungen ...and 214 more Serials all top 5 Cited in 44 Fields 1,264 Fluid mechanics (76-XX) 1,135 Numerical analysis (65-XX) 774 Partial differential equations (35-XX) 409 Calculus of variations and optimal control; optimization (49-XX) 296 Mechanics of deformable solids (74-XX) 152 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 139 Operations research, mathematical programming (90-XX) 70 Biology and other natural sciences (92-XX) 69 Probability theory and stochastic processes (60-XX) 61 Systems theory; control (93-XX) 59 Geophysics (86-XX) 53 Classical thermodynamics, heat transfer (80-XX) 37 Optics, electromagnetic theory (78-XX) 26 Computer science (68-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Integral equations (45-XX) 15 Potential theory (31-XX) 15 Ordinary differential equations (34-XX) 15 Functional analysis (46-XX) 13 Operator theory (47-XX) 13 Statistics (62-XX) 12 Approximations and expansions (41-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Real functions (26-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 4 Manifolds and cell complexes (57-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-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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