Edit Profile (opens in new tab) Maday, Yvon Compute Distance To: Compute Author ID: maday.yvon Published as: Maday, Yvon; Maday, Y. Homepage: https://www.ljll.math.upmc.fr/maday/ External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 243 Publications since 1981, including 4 Books 5 Contributions as Editor Co-Authors: 161 Co-Authors with 239 Joint Publications 3,537 Co-Co-Authors all top 5 Co-Authors 9 single-authored 40 Bernardi, Christine 34 Patera, Anthony T. 16 Rønquist, Einar M. 15 Cancès, Eric 15 Rapetti, Francesca 13 Stamm, Benjamin 13 Turinici, Gabriel 12 Grandmont, Céline 10 Buffa, Annalisa 9 Japhet, Caroline 8 Ben Belgacem, Faker 8 Le Bris, Claude 8 Métivet, Brigitte 8 Quarteroni, Alfio M. 7 Chakir, Rachida 7 Chen, Yanlai 7 Dusson, Geneviève 7 Mula, Olga 6 Canuto, Claudio 6 Dauge, Monique 6 Hesthaven, Jan S. 6 Magoulès, Frédéric 6 Nataf, Frédéric 6 Nguyen, Ngoc Cuong 6 Vohralík, Martin 5 Løvgren, Alf Emil 5 Wohlmuth, Barbara I. 4 Achdou, Yves 4 Charpentier, Isabelle 4 Debit, Naïma 4 Machiels, Luc 4 Rodríguez, Jerónimo 4 Salomon, Julien 3 Bouillault, Frédéric 3 Lacour, Catherine 3 Maury, Bertrand 3 Metier, Paul 3 Ravel, Jean Christophe 3 Rovas, Dimitrios V. 3 Taddei, Tommaso 3 Yano, Masayuki 2 Ait-Ameur, Katia 2 Argaud, Jean-Philippe 2 Bal, Guillaume 2 Ballarin, Francesco 2 Baudron, Anne-Marie 2 Boukir, Karima 2 Bouriquet, B. 2 Boyaval, Sébastien 2 Coppoletta, Giuseppe 2 Coquel, Frédéric 2 Dai, Xiaoying 2 Ehrlacher, Virginie 2 Flemisch, Bernd 2 Girault, Vivette 2 Gottlieb, Sigal 2 Guimet, Valérie 2 Herrero, Henar 2 Kaber, Sidi M. Ould 2 Lautard, Jean-Jacques 2 Lelièvre, Tony 2 Müller, Siegfried 2 Muñoz, Rafael 2 Penn, James D. 2 Pernaud-Thomas, Bernadette 2 Perrier, Valérie 2 Pla, Francisco 2 Postel, Marie 2 Quan, Chaoyu 2 Riahi, Mohamed Kamel 2 Rozza, Gianluigi 2 Tadmor, Eitan 2 Tajchman, Marc 2 Tran, Quang Huy 2 Vandeven, Hervé 2 Widlund, Olof B. 2 Xu, Chuanju 1 Amari, Tahar 1 Anagnostou, George 1 Azaïez, Mejdi 1 Baffico, Leonardo 1 Barrault, Maxime 1 Bebendorf, Mario 1 Bègue, Catherine 1 Ben Abdallah, Adnene 1 Bertoluzza, Silvia 1 Besley, Elena 1 Bjøntegaard, Tormod 1 Boudin, Laurent 1 Boulmezaoud, Tahar Zamène 1 Bourquin, Frédéric 1 Bui, Duc Quang 1 Cagniart, Nicolas 1 Cazabeau, Lydie 1 Chorfi, Nejmeddine 1 Ciarlet, Philippe Gaston 1 Cottet, Georges-Henri 1 Dabaghi, Jad 1 Dapogny, Charles 1 de Caso, F. ...and 62 more Co-Authors all top 5 Serials 17 Comptes Rendus de l’Académie des Sciences. Série I 16 Computer Methods in Applied Mechanics and Engineering 16 SIAM Journal on Numerical Analysis 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Numerische Mathematik 10 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 9 Journal of Computational Physics 9 Journal of Scientific Computing 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 SIAM Journal on Scientific Computing 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 IMA Journal of Numerical Analysis 5 Mathematics of Computation 5 Journal of Computational and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 La Recherche Aérospatiale 3 International Journal for Numerical Methods in Fluids 3 Mathématiques & Applications (Berlin) 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 COMPEL 2 Applied Mathematical Modelling 2 Revue Européenne des Éléments Finis 2 Archives of Computational Methods in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applicable Analysis 1 Computers and Structures 1 International Journal of Heat and Mass Transfer 1 BIT 1 International Journal for Numerical Methods in Engineering 1 RAIRO. Analyse Numérique 1 Constructive Approximation 1 Numerical Algorithms 1 Journal of Elasticity 1 East-West Journal of Numerical Mathematics 1 Vietnam Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Applied Mathematics and Informatics 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 GAMM-Mitteilungen 1 Journal of Mathematics in Industry all top 5 Fields 197 Numerical analysis (65-XX) 142 Partial differential equations (35-XX) 62 Fluid mechanics (76-XX) 22 Optics, electromagnetic theory (78-XX) 20 Mechanics of deformable solids (74-XX) 13 Quantum theory (81-XX) 12 Approximations and expansions (41-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functional analysis (46-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Biology and other natural sciences (92-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 222 Publications have been cited 4,746 times in 2,826 Documents Cited by ▼ Year ▼ An ‘empirical interpolation’ method: Application to efficient reduced-basis discretization of partial differential equations. Zbl 1061.65118Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 460 2004 A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094Bernardi, C.; Maday, Y.; Patera, A. T. 275 1994 A “parareal” in time discretization of PDE’s. (Résolution d’EDP par un schéma en temps “pararéel”.) Zbl 0984.65085Lions, Jacques-Louis; Maday, Yvon; Turinici, Gabriel 184 2001 Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T. 170 2007 Spectral approximation for elliptic boundary value problems. (Approximations spectrales de problèmes aux limites elliptiques.) Zbl 0773.47032Bernardi, Christine; Maday, Yvon 135 1992 Domain decomposition by the mortar element method. Zbl 0799.65124Bernardi, C.; Maday, Y.; Patera, A. T. 102 1993 An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. Zbl 0724.76070Maday, Y.; Patera, Anthony T.; Rønquist, Einar M. 87 1990 A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel 81 2012 A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H. 74 2009 Legendre pseudospectral viscosity method for nonlinear conservation laws. Zbl 0774.65072Maday, Yvon; Kaber, Sidi M. Ould; Tadmor, Eitan 69 1993 The mortar element method for three dimensional finite elements. Zbl 0868.65082Ben Belgacem, F.; Maday, Y. 66 1997 Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem. Zbl 0666.76055Bernardi, Christine; Canuto, Claudio; Maday, Yvon 63 1988 Existence for an unsteady fluid-structure interaction problem. Zbl 0969.76017Grandmont, Céline; Maday, Yvon 60 2000 Une réhabilitation des méthodes spectrales de type Laguerre. (Reappraisal of Laguerre type spectral method). Zbl 0604.42026Maday, Y.; Pernaud-Thomas, B.; Vandeven, H. 55 1985 A high-order characteristics/finite element method for the incompressible Navier-Stokes equations. Zbl 0904.76040Boukir, K.; Maday, Y.; Métivet, B.; Razafindrakoto, E. 55 1997 The reduced basis element method: application to a thermal fin problem. Zbl 1077.65120Maday, Yvon; Ronquist, Einar M. 53 2004 Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 52 2004 A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Zbl 1014.65115Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel 51 2002 Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations. Zbl 0769.76047Maday, Yvon; Meiron, Dan; Patera, Anthony T.; Rønquist, Einar M. 50 1993 Reduced basis techniques for stochastic problems. Zbl 1269.65005Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 49 2010 Polynomial interpolation results in Sobolev spaces. Zbl 0767.41001Bernardi, Christine; Maday, Yvon 48 1992 Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems. Zbl 0960.65063Machiels, Luc; Maday, Yvon; Oliveira, Ivan B.; Patera, Anthony T.; Rovas, Dimitrios V. 46 2000 Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237Cancès, Eric; Chakir, Rachida; Maday, Yvon 43 2010 Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001Bernardi, Christine; Dauge, Monique; Maday, Yvon 43 1999 Computational quantum chemistry: a primer. Zbl 1070.81534Cancès, Eric; Defranceschi, Mireille; Kutzelnigg, Werner; Le Bris, Claude; Maday, Yvon 41 2003 Uniform inf-sup conditions for the spectral discretization of the Stokes problem. Zbl 0944.76058Bernardi, C.; Maday, Y. 41 1999 Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations. Zbl 1009.65066Maday, Yvon; Patera, Anthony T.; Turinici, G. 39 2002 A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics. Zbl 1352.65529Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki 38 2015 A parareal in time semi-implicit approximation of the Navier-Stokes equations. Zbl 1309.76060Fischer, Paul F.; Hecht, Frédéric; Maday, Yvon 37 2005 Analysis of the spectral vanishing viscosity method for periodic conservation laws. Zbl 0678.65066Maday, Yvon; Tadmor, Eitan 37 1989 A reduced basis element method for the steady Stokes problem. Zbl 1129.76036Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 37 2006 A “parareal” time discretization for nonlinear PDE’s with application to the pricing of an American put. Zbl 1022.65096Bal, Guillaume; Maday, Yvon 36 2002 Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Zbl 1191.65156Le Bris, C.; Lelièvre, T.; Maday, Y. 36 2009 Basics and some applications of the mortar element method. Zbl 1177.65178Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 36 2005 Certified reduced basis methods and output bounds for the harmonic Maxwell’s equations. Zbl 1213.78011Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo 35 2010 Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110Achdou, Yves; Maday, Yvon; Widlund, Olof 35 1998 Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries. Zbl 0728.65078Maday, Yvon; Rønquist, Einar M. 35 1990 A parareal in time procedure for the control of partial differential equations. Zbl 1006.65071Maday, Yvon; Turinici, Gabriel 34 2002 A blackbox reduced-basis output bound method for noncoercive linear problems. Zbl 1006.65124Maday, Y.; Patera, A. T.; Rovas, D. V. 34 2002 Monotonic parareal control for quantum systems. Zbl 1153.49005Maday, Yvon; Salomon, Julien; Turinici, Gabriel 33 2007 A reduced-basis element method. Zbl 1014.65119Maday, Yvon; Rønquist, Einar M. 32 2002 Properties of some weighted Sobolev spaces and application to spectral approximations. Zbl 0675.65114Bernardi, Christine; Maday, Yvon 32 1989 A generalized empirical interpolation method: application of reduced basis techniques to data assimilation. Zbl 1267.62013Maday, Yvon; Mula, Olga 31 2013 Spectral and pseudo-spectral approximations of the Navier-Stokes equations. Zbl 0503.76035Maday, Y.; Quarteroni, A. 30 1982 Coupling finite element and spectral methods: First results. Zbl 0685.65098Bernardi, Christine; Debit, Naïma; Maday, Yvon 30 1990 Legendre and Chebyshev spectral approximations of Burgers’ equation. Zbl 0452.41007Maday, Yvon; Quarteroni, Alfio 30 1981 Reduced-basis output bound methods for parabolic problems. Zbl 1101.65099Rovas, D. V.; Machiels, L.; Maday, Y. 30 2006 Stable parareal in time method for first- and second-order hyperbolic systems. Zbl 1264.65136Dai, Xiaoying; Maday, Yvon 30 2013 Parallelization in time through tensor-product space-time solvers. Zbl 1133.65066Maday, Yvon; Rønquist, Einar M. 28 2008 Error analysis for spectral approximation of the Korteweg-de Vries equation. Zbl 0647.65082Maday, Y.; Quarteroni, A. 28 1988 Reduced basis method for the rapid and reliable solution of partial differential equations. Zbl 1100.65079Maday, Yvon 28 2006 A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection. Zbl 1415.76387Fick, Lambert; Maday, Yvon; Patera, Anthony T.; Taddei, Tommaso 28 2018 Un cadre général pour l’obtention de bornes a posteriori sur des résultats en sortie d’équations aux dérivées partielles; application aux problèmes de valeurs propres. (A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem.) Zbl 0933.65129Maday, Yvon; Patera, Anthony T.; Peraire, Jaume 27 1999 Model order reduction for problems with large convection effects. Zbl 1416.35021Cagniart, Nicolas; Maday, Yvon; Stamm, Benjamin 27 2019 A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 27 2009 The parareal in time iterative solver: a further direction to parallel implementation. Zbl 1067.65102Maday, Yvon; Turinici, Gabriel 26 2005 Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003Cancès, Eric; Chakir, Rachida; Maday, Yvon 26 2012 Spectral, spectral element and mortar element methods. Zbl 0991.65124Bernardi, Christine; Maday, Yvon 24 2001 Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation. Zbl 0753.76130Bernardi, Christine; Girault, Vivette; Maday, Yvon 23 1992 The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation. Zbl 1423.76346Maday, Y.; Mula, O.; Patera, A. T.; Yano, M. 23 2015 Locally adaptive greedy approximations for anisotropic parameter reduced basis spaces. Zbl 1285.65009Maday, Yvon; Stamm, Benjamin 22 2013 Some spectral approximations of two-dimensional fourth-order problems. Zbl 0754.65088Bernardi, Christine; Coppoletta, Giuseppe; Maday, Yvon 21 1992 The mortar finite element method for 3D Maxwell equations: First results. Zbl 1001.65123Ben Belgacem, F.; Buffa, A.; Maday, Y. 20 2001 Spectral element discretizations of the Poisson equation with mixed boundary conditions. Zbl 1004.65119Bernardi, C.; Maday, Y. 20 2001 Two different approaches for matching nonconforming grids: The mortar element method and the FETI method. Zbl 0890.65111Lacour, C.; Maday, Y. 20 1997 Adaptativité dynamique sur bases d’ondelettes pour l’approximation d’équations aux dérivées partielles. (Dynamical adaptivity using wavelets basis for the approximation of partial differential equations). Zbl 0709.65099Maday, Yvon; Perrier, Valérie; Ravel, Jean-Christophe 20 1991 Analysis of spectral projectors in one-dimensional domains. Zbl 0745.41033Maday, Y. 19 1990 A collocation method over staggered grids for the Stokes problem. Zbl 0665.76037Bernardi, Christine; Maday, Yvon 19 1988 RB (reduced basis) for RB (Rayleigh-Bénard). Zbl 1286.76084Herrero, Henar; Maday, Yvon; Pla, Francisco 19 2013 Polynomial approximation of some singular functions. Zbl 0701.41009Bernardi, Christine; Maday, Yvon 19 1991 A “flux-free” nodal Neumann subproblem approach to output bounds for partial differential equations. Zbl 0946.65101Machiels, Luc; Maday, Yvon; Patera, Anthony T. 18 2000 Convergence analysis of the generalized empirical interpolation method. Zbl 1347.41044Maday, Y.; Mula, O.; Turinici, G. 18 2016 Symmetric parareal algorithms for Hamiltonian systems. Zbl 1269.65133Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon 17 2013 Parareal in time intermediate targets methods for optimal control problems. Zbl 1272.49064Maday, Yvon; Riahi, Mohamed-Kamel; Salomon, Julien 17 2013 A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines. Zbl 0986.35111Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca 17 2001 A spectral element methodology tuned to parallel implementations. Zbl 0841.65096Ben Belgacem, F.; Maday, Y. 16 1994 Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell’s problem. Zbl 1181.78019Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo 16 2009 A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Zbl 1019.65086Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F. 16 2002 Absorbing interface conditions for domain decomposition methods: A general presentation. Zbl 1168.65423Maday, Yvon; Magoulès, Frédéric 16 2006 The reduced basis method for the electric field integral equation. Zbl 1220.78045Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B. 16 2011 Coupling of transport and diffusion models in linear transport theory. Zbl 0995.45008Bal, Guillaume; Maday, Yvon 16 2002 Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations. Zbl 06779777Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 16 2017 A high order characteristics method for the incompressible Navier-Stokes equations. Zbl 0824.76060Boukir, Karima; Maday, Yvon; Métivet, Brigitte 15 1994 Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid structure interaction. Zbl 1215.65158Grandmont, C.; Guimet, V.; Maday, Y. 15 2001 Spectral element multigrid. II: Theoretical justification. Zbl 0695.65058Maday, Yvon; Muñoz, Rafael 15 1988 Optimized Schwarz methods without overlap for highly heterogeneous media. Zbl 1173.74477Maday, Yvon; Magoulès, Frédéric 15 2007 Nonconforming mortar element methods: Application to spectral discretizations. Zbl 0692.65055Maday, Yvon; Mavriplis, Cathy; Patera, Anthony T. 15 1989 Combined finite element and spectral approximation of the Navier-Stokes equations. Zbl 0614.76021Canuto, Claudio; Maday, Yvon; Quarteroni, Alfio 15 1984 Analysis of the combined finite element and Fourier interpolation. Zbl 0496.42002Canuto, C.; Maday, Y.; Quarteroni, A. 14 1982 PBDW state estimation: noisy observations; configuration-adaptive background spaces; physical interpretations. Zbl 1342.82116Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki 14 2015 A reduced-basis element method. Zbl 1006.65128Maday, Yvon; Rønquist, Einar M. 13 2002 Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Zbl 0955.65088Ben Belgacem, F.; Bernardi, C.; Chorfi, N.; Maday, Y. 13 2000 Spectral approximation of the periodic nonperiodic Navier-Stokes equations. Zbl 0583.65085Bernardi, Christine; Maday, Yvon; Métivet, Brigitte 13 1987 An integral equation approach to calculate electrostatic interactions in many-body dielectric systems. Zbl 1415.78002Lindgren, Eric B.; Stace, Anthony J.; Polack, Etienne; Maday, Yvon; Stamm, Benjamin; Besley, Elena 13 2018 A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Zbl 1067.65144Gander, Martin J.; Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 12 2005 Relèvements de traces polynomiales et interpolations hilbertiennes entre espaces de polynômes. (Extension of polynomial traces and Hilbert interpolation between spaces of polynomials). Zbl 0678.46027Maday, Yvon 12 1989 Monotonic time-discretized schemes in quantum control. Zbl 1095.65058Maday, Yvon; Salomon, Julien; Turinici, Gabriel 12 2006 A spectral element method for the time-dependent two-dimensional Euler equations: Applications to flow simulations. Zbl 0939.76076Xu, Chuanju; Maday, Yvon 12 1998 A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations. Zbl 1152.65109Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo 12 2008 Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media. Zbl 1102.65126Maday, Yvon; Magoulès, Frédéric 12 2006 An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. Zbl 07515446Chen, Yanlai; Gottlieb, Sigal; Ji, Lijie; Maday, Yvon 4 2021 An adaptive parareal algorithm. Zbl 1439.65073Maday, Y.; Mula, O. 8 2020 Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters. Zbl 1446.35083Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 4 2020 Multi-step variant of the parareal algorithm. Zbl 07621568Ait-Ameur, Katia; Maday, Yvon; Tajchman, Marc 1 2020 Model order reduction for problems with large convection effects. Zbl 1416.35021Cagniart, Nicolas; Maday, Yvon; Stamm, Benjamin 27 2019 Regularity and \(hp\) discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials. Zbl 1431.65209Maday, Yvon; Marcati, Carlo 9 2019 Adaptive PBDW approach to state estimation: noisy observations; user-defined update spaces. Zbl 1426.76551Maday, Yvon; Taddei, Tommaso 4 2019 PBDW: a non-intrusive reduced basis data assimilation method and its application to an urban dispersion modeling framework. Zbl 1481.86001Hammond, Janelle K.; Chakir, R.; Bourquin, F.; Maday, Y. 3 2019 A non-intrusive reduced basis approach for parametrized heat transfer problems. Zbl 1416.65587Chakir, R.; Maday, Y.; Parnaudeau, P. 2 2019 A domain decomposition method for the Poisson-Boltzmann solvation models. Zbl 1414.65041Quan, Chaoyu; Stamm, Benjamin; Maday, Yvon 1 2019 A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection. Zbl 1415.76387Fick, Lambert; Maday, Yvon; Patera, Anthony T.; Taddei, Tommaso 28 2018 An integral equation approach to calculate electrostatic interactions in many-body dielectric systems. Zbl 1415.78002Lindgren, Eric B.; Stace, Anthony J.; Polack, Etienne; Maday, Yvon; Stamm, Benjamin; Besley, Elena 13 2018 Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework. Zbl 1402.65137Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 6 2018 Two-grid methods for a class of nonlinear elliptic eigenvalue problems. Zbl 1417.65192Cancès, Eric; Chakir, Rachida; He, Lianhua; Maday, Yvon 6 2018 Reduced basis’ acquisition by a learning process for rapid on-line approximation of solution to PDE’s: laminar flow past a backstep. Zbl 1391.76328Gallinari, Patrick; Maday, Yvon; Sangnier, Maxime; Schwander, Olivier; Taddei, Tommaso 4 2018 Sensor placement in nuclear reactors based on the generalized empirical interpolation method. Zbl 1392.82075Argaud, J.-P.; Bouriquet, B.; de Caso, F.; Gong, H.; Maday, Y.; Mula, O. 4 2018 A domain decomposition method for the polarizable continuum model based on the solvent excluded surface. Zbl 1393.65054Quan, Chaoyu; Stamm, Benjamin; Maday, Yvon 2 2018 Reduced basis method applied to a convective stability problem. Zbl 1419.65133Herrero, Henar; Maday, Yvon; Pla, Francisco 1 2018 Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations. Zbl 06779777Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 16 2017 Stabilization of (G)EIM in presence of measurement noise: application to nuclear reactor physics. Zbl 1383.82078Argaud, J. P.; Bouriquet, B.; Gong, H.; Maday, Y.; Mula, O. 9 2017 Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 6 2017 A posteriori analysis of a nonlinear Gross-Pitaevskii-type eigenvalue problem. Zbl 1433.65269Dusson, Geneviève; Maday, Yvon 2 2017 A new method for reconstruction of cross-sections using Tucker decomposition. Zbl 1378.65043Luu, Thi Hieu; Maday, Yvon; Guillo, Matthieu; Guérin, Pierre 2 2017 Convergence analysis of the generalized empirical interpolation method. Zbl 1347.41044Maday, Y.; Mula, O.; Turinici, G. 18 2016 An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems. (Une stratégie intrinsèque de stabilisation en ligne pour l’approximation bases réduites de problèmes paramètrés avec transport dominant.) Zbl 1353.65093Maday, Yvon; Manzoni, Andrea; Quarteroni, Alfio 7 2016 A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models. Zbl 1352.65005Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 4 2016 Mortar methods with optimized transmission conditions for advection-diffusion problems. Zbl 1339.65237Japhet, Caroline; Maday, Yvon 1 2016 A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics. Zbl 1352.65529Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki 38 2015 The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation. Zbl 1423.76346Maday, Y.; Mula, O.; Patera, A. T.; Yano, M. 23 2015 PBDW state estimation: noisy observations; configuration-adaptive background spaces; physical interpretations. Zbl 1342.82116Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki 14 2015 Comparison of some reduced representation approximations. Zbl 1312.65200Bebendorf, Mario; Maday, Yvon; Stamm, Benjamin 9 2014 Parametric analytical preconditioning and its applications to the reduced collocation methods. (Préconditionnements analytiques en paramètres et applications aux méthodes de collocation réduites.) Zbl 1297.65166Chen, Yanlai; Gottlieb, Sigal; Maday, Yvon 7 2014 A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations. (Un estimateur d’erreur a posteriori basé sur une méthode de perturbation pour la discrétisation des équations de Schrödinger non linéaires dans une base d’ondes planes.) Zbl 1303.65077Cancès, Éric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 6 2014 Parareal in time 3D numerical solver for the LWR benchmark neutron diffusion transient model. Zbl 1351.82069Baudron, Anne-Marie; Lautard, Jean-Jacques; Maday, Yvon; Riahi, Mohamed Kamel; Salomon, Julien 4 2014 The parareal in time algorithm applied to the kinetic neutron diffusion equation. Zbl 1383.82079Baudron, A.-M.; Lautard, J.-J.; Maday, Y.; Mula, O. 3 2014 \({h-P}\) finite element approximation for full-potential electronic structure calculations. Zbl 1302.65255Maday, Yvon 2 2014 \(h-P\) finite element approximation for full-potential electronic structure calculations. Zbl 1318.65070Maday, Yvon 2 2014 Non-consistent approximations of self-adjoint eigenproblems: application to the supercell method. Zbl 1305.65224Cancès, Eric; Ehrlacher, Virginie; Maday, Yvon 2 2014 A new interface cement equilibrated mortar method with Ventcel conditions. Zbl 1382.65405Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 2 2014 A generalized empirical interpolation method: application of reduced basis techniques to data assimilation. Zbl 1267.62013Maday, Yvon; Mula, Olga 31 2013 Stable parareal in time method for first- and second-order hyperbolic systems. Zbl 1264.65136Dai, Xiaoying; Maday, Yvon 30 2013 Locally adaptive greedy approximations for anisotropic parameter reduced basis spaces. Zbl 1285.65009Maday, Yvon; Stamm, Benjamin 22 2013 RB (reduced basis) for RB (Rayleigh-Bénard). Zbl 1286.76084Herrero, Henar; Maday, Yvon; Pla, Francisco 19 2013 Symmetric parareal algorithms for Hamiltonian systems. Zbl 1269.65133Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon 17 2013 Parareal in time intermediate targets methods for optimal control problems. Zbl 1272.49064Maday, Yvon; Riahi, Mohamed-Kamel; Salomon, Julien 17 2013 A new interface cement equilibrated mortar (NICEM) method with Robin interface conditions: the \(P_{1}\) finite element case. Zbl 1290.65121Japhet, Caroline; Maday, Yvon; Nataf, Frederic 2 2013 A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel 81 2012 Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003Cancès, Eric; Chakir, Rachida; Maday, Yvon 26 2012 Certified reduced basis method for electromagnetic scattering and radar cross section estimation. Zbl 1253.78045Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo; Zhu, Xueyu 12 2012 Periodic Schrödinger operators with local defects and spectral pollution. Zbl 1259.49075Cancès, Eric; Ehrlacher, Virginie; Maday, Yvon 9 2012 The reduced basis method for the electric field integral equation. Zbl 1220.78045Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B. 16 2011 A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. Zbl 1217.78056Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon 9 2011 The reduced basis element method: offline-online decomposition in the nonconforming, nonaffine case. Zbl 1216.65158Løvgren, A. E.; Maday, Y.; Rønquist, E. M. 7 2011 The spectral element method used to assess the quality of a global \(C^1\) map. Zbl 1216.65170Løvgren, A. E.; Maday, Y.; Rønquist, E. M. 1 2011 Reduced basis techniques for stochastic problems. Zbl 1269.65005Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 49 2010 Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237Cancès, Eric; Chakir, Rachida; Maday, Yvon 43 2010 Certified reduced basis methods and output bounds for the harmonic Maxwell’s equations. Zbl 1213.78011Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo 35 2010 The lifting of polynomial traces revisited. Zbl 1227.46026Bernardi, Christine; Dauge, Monique; Maday, Yvon 4 2010 A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H. 74 2009 Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Zbl 1191.65156Le Bris, C.; Lelièvre, T.; Maday, Y. 36 2009 A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 27 2009 Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell’s problem. Zbl 1181.78019Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo 16 2009 A two-grid finite-element/reduced basis scheme for the approximation of the solution of parametric dependent P.D.E. (Une méthode combinée d’éléments finis à deux grilles/bases réduites pour l’approximation des solutions d’une E.D.P. Paramétrique.) Zbl 1161.65083Chakir, Rachida; Maday, Yvon 11 2009 Global \(C^1\) maps on general domains. Zbl 1196.35030Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 6 2009 Fast tensor-product solvers: partially deformed three-dimensional domains. Zbl 1203.65234Bjøntegaard, Tormod; Maday, Yvon; Rønquist, Einar M. 5 2009 New trends in multiresolution and adaptive methods for convection-dominated problems. Zbl 1423.35308Coquel, Frédéric; Maday, Yvon; Müller, Siegfried; Postel, Marie; Tran, Quang Huy 5 2009 Parallelization in time through tensor-product space-time solvers. Zbl 1133.65066Maday, Yvon; Rønquist, Einar M. 28 2008 A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations. Zbl 1152.65109Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo 12 2008 Homogenization of elastic media with gaseous inclusions. Zbl 1158.93003Baffico, L.; Grandmont, C.; Maday, Y.; Osses, A. 6 2008 A reduced basis method applied to the restricted Hartree-Fock equations. Zbl 1133.81063Maday, Yvon; Razafison, Ulrich 2 2008 Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T. 170 2007 Monotonic parareal control for quantum systems. Zbl 1153.49005Maday, Yvon; Salomon, Julien; Turinici, Gabriel 33 2007 Optimized Schwarz methods without overlap for highly heterogeneous media. Zbl 1173.74477Maday, Yvon; Magoulès, Frédéric 15 2007 The reduced basis element method for fluid flows. Zbl 1291.76247Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 9 2007 Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Zbl 1330.81022Cancès, Éric; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, George Shu Heng 8 2007 Parareal in time algorithm for kinetic systems based on model reduction. Zbl 1126.65086Maday, Yvon 8 2007 Modeling and analysis of an elastic problem with large displacements and small strains. Zbl 1109.74009Grandmont, C.; Maday, Y.; Métier, P. 3 2007 Optimal convergence properties of the FETI domain decomposition method. Zbl 1157.65068Maday, Y.; Magoulès, F. 1 2007 A reduced basis element method for the steady Stokes problem. Zbl 1129.76036Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 37 2006 Reduced-basis output bound methods for parabolic problems. Zbl 1101.65099Rovas, D. V.; Machiels, L.; Maday, Y. 30 2006 Reduced basis method for the rapid and reliable solution of partial differential equations. Zbl 1100.65079Maday, Yvon 28 2006 Absorbing interface conditions for domain decomposition methods: A general presentation. Zbl 1168.65423Maday, Yvon; Magoulès, Frédéric 16 2006 Monotonic time-discretized schemes in quantum control. Zbl 1095.65058Maday, Yvon; Salomon, Julien; Turinici, Gabriel 12 2006 Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media. Zbl 1102.65126Maday, Yvon; Magoulès, Frédéric 12 2006 Mathematical methods in quantum chemistry. An introduction. (Méthodes mathématiques en chimie quantique. Une introduction.) Zbl 1167.81001Cancès, Eric; Le Bris, Claude; Maday, Yvon 6 2006 A survey of various absorbing interface conditions for the Schwarz algorithm tuned to highly heterogeneous media. Zbl 1103.65124Maday, Yvon; Magoulès, Frédéric 6 2006 \(L^{\infty}\)-stable approximation of a solution to \(\mathrm{div}(Y)= f\) for \(f \in L^2\) in two dimensions. Zbl 1108.65107Maday, Yvon 1 2006 A parareal in time semi-implicit approximation of the Navier-Stokes equations. Zbl 1309.76060Fischer, Paul F.; Hecht, Frédéric; Maday, Yvon 37 2005 Basics and some applications of the mortar element method. Zbl 1177.65178Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 36 2005 The parareal in time iterative solver: a further direction to parallel implementation. Zbl 1067.65102Maday, Yvon; Turinici, Gabriel 26 2005 A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Zbl 1067.65144Gander, Martin J.; Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 12 2005 Analysis of some Padé–Chebyshev approximants. Zbl 1093.41008Kaber, Sidi Mahmoud; Maday, Yvon 6 2005 Non-overlapping additive Schwarz methods tuned to highly heterogeneous media. Zbl 1082.65127Maday, Yvon; Magoulès, Frédéric 6 2005 Scalar and vector potentials’ coupling on nonmatching grids for the simulation of an electromagnetic brake. Zbl 1115.78329Flemisch, Bernd; Wohlmuth, Barbara; Rapetti, Francesca; Maday, Yvon 5 2005 A multiscale/multimodel approach of the respiration tree. Zbl 1187.92030Grandmont, Céline; Maday, Yvon; Maury, Bertrand 4 2005 An ‘empirical interpolation’ method: Application to efficient reduced-basis discretization of partial differential equations. Zbl 1061.65118Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 460 2004 The reduced basis element method: application to a thermal fin problem. Zbl 1077.65120Maday, Yvon; Ronquist, Einar M. 53 2004 Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 52 2004 Mortaring the two-dimensional edge finite elements for the discretization of some electromagnetic models. Zbl 1100.78017Ben Abdallah, Adnene; Ben Belgacem, Faker; Maday, Yvon; Rapetti, Francesca 7 2004 Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor. Zbl 1059.78033Flemisch, B.; Maday, Y.; Rapetti, F.; Wohlmuth, B. I. 2 2004 ...and 122 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,588 Authors 97 Maday, Yvon 60 Patera, Anthony T. 60 Rozza, Gianluigi 58 Guo, Ben-Yu 49 Bernardi, Christine 48 Quarteroni, Alfio M. 31 Hesthaven, Jan S. 29 Wohlmuth, Barbara I. 25 Chacón Rebollo, Tomás 23 Chinesta, Francisco 23 Wu, Shulin 22 Ben Belgacem, Faker 22 Haasdonk, Bernard 22 Manzoni, Andrea 20 Benner, Peter 20 Rønquist, Einar M. 20 Willcox, Karen E. 19 Gander, Martin Jakob 19 Xu, Chuanju 18 Chen, Yanlai 18 Dehghan Takht Fooladi, Mehdi 18 Nouy, Anthony 18 Takahashi, Takéo 17 Ballarin, Francesco 17 Bertoluzza, Silvia 17 Carlberg, Kevin T. 17 Fischer, Paul F. 17 Karniadakis, George Em 17 Nguyen, Ngoc Cuong 17 Rapetti, Francesca 17 Stamm, Benjamin 16 Cancès, Eric 16 Farhat, Charbel H. 16 Néron, David 16 Volkwein, Stefan 15 Azaïez, Mejdi 15 Schwab, Christoph 15 Veroy, Karen 14 Abdulle, Assyr 14 Chorfi, Nejmeddine 14 Deparis, Simone 14 Gervasio, Paola 14 Grepl, Martin A. 14 Ladevèze, Pierre 14 Ohlberger, Mario 14 Shen, Jie 14 Yano, Masayuki 13 Chen, Jinru 13 Magoulès, Frédéric 13 Peherstorfer, Benjamin 13 Salomon, Julien 13 Stabile, Giovanni 13 Taddei, Tommaso 13 Vohralík, Martin 12 Chamoin, Ludovic 12 Hecht, Frédéric 12 Huerta, Antonio 12 Iliescu, Traian 12 Li, Huiyuan 11 Chen, Huajie 11 Gómez Mármol, Macarena 11 Guermond, Jean-Luc 11 Heinrichs, Wilhelm 11 Jiang, Yaolin 11 Knezevic, David J. 11 Lelièvre, Tony 11 Lin, Guang 11 Ma, Heping 11 Pasquetti, Richard 11 Pavarino, Luca Franco 11 Phillips, Timothy N. 11 Urban, Karsten 10 Ammar, Amine 10 Chen, Peng 10 Ehrlacher, Virginie 10 Feng, Lihong 10 Huang, Yunqing 10 Huynh, Dinh Bao Phuong 10 Karageorghis, Andreas 10 Le Bris, Claude 10 Mula, Olga 10 Navon, Ionel Michael 10 Parand, Kourosh 10 Seshaiyer, Padmanabhan 10 Stephan, Ernst Peter 10 Wang, Lilian 9 Ainsworth, Mark 9 Borzì, Alfio 9 Canuto, Claudio 9 Chen, Yanping 9 Dahmen, Wolfgang A. 9 Efendiev, Yalchin R. 9 Girault, Vivette 9 Grandmont, Céline 9 Karasözen, Bülent 9 Khoromskiĭ, Boris Nikolaevich 9 Lamichhane, Bishnu Prasad 9 Liu, Jun 9 Prud’homme, Christophe 9 Si, Zhiyong ...and 3,488 more Authors all top 5 Cited in 263 Serials 362 Computer Methods in Applied Mechanics and Engineering 260 Journal of Computational Physics 154 Journal of Scientific Computing 128 SIAM Journal on Scientific Computing 99 Journal of Computational and Applied Mathematics 92 Computers & Mathematics with Applications 86 Applied Numerical Mathematics 74 Mathematics of Computation 72 Numerische Mathematik 69 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 59 International Journal for Numerical Methods in Engineering 54 Computational Mechanics 53 Comptes Rendus. 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