Liste (non-exhaustive) de publications de Yvon MADAY

Retour Page d'Yvon Maday

2007

Maday, Yvon ; Salomon, Julien ; Turinici, Gabriel
Monotonic parareal control for quantum systems.
SIAM J. Numer. Anal. 45 (2007), no. 6, 2468--2482.

Maday,Yvon
Parareal in time algorithm for kinetic systems based on model reduction.
High-dimensional partial differential equations in science and engineering, 183—194, CRM Proc. Lecture Notes, 41, Amer. Math. Soc., Providence, RI, 2007.

Cancès, Eric ; Le Bris, Claude ; Maday, Yvon ; Nguyen, Ngoc Cuong ; Patera, Anthony T. ; Pau, George Shu Heng
Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry.
High-dimensional partial differential equations in science and engineering, 15—47, CRM Proc. Lecture Notes, 41, Amer. Math. Soc., Providence, RI, 2007.

Grepl, Martin A. ; Maday, Yvon ; Nguyen, Ngoc C. ; Patera, Anthony T.
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations.
M2AN Math. Model. Numer. Anal. 41 (2007), no.3, 575--605.

Maday, Yvon ; Magoulès, Frédéric
Optimal convergence properties of the FETI domain decomposition method,
Internat. J. Numer. Methods Fluids 55 (2007), no. 1, 1--14.

Løvgren, Alf Emil ; Maday, Yvon ; Rønquist, Einar M.
The reduced basis element method for fluid flows,
Analysis and simulation of fluid dynamics, 129—154, Adv. Math. Fluid Mech., Birkhäuser, Basel, 2007.

Grandmont, Céline ; Maday, Yvon ; Métier, Paul
Modeling and analysis of an elastic problem with large displacements and small strains,
J. Elasticity 87 (2007), no. 1, 29--72.

Maday, Yvon ; Magoulès, Frédéric
Optimized Schwarz methods without overlap for highly heterogeneous media,
Comput. Methods Appl. Mech. Engrg. 196 (2007), no. 8, 1541--1553.

2006

Cancès, Eric ; Le Bris, Claude ; Maday, Yvon
Méthodes mathématiques en chimie quantique. Une introduction.
Mathématiques & Applications (Berlin), 53. Springer, Berlin, 2006. xvi+409 pp. ISBN : 978-3-540-30996-3;3-540-30996-9

Maday, Yvon
Reduced basis method for the rapid and reliable solution of partial differential equations.
International Congress of Mathematicians. Vol.III, 1255—1270, Eur. Math. Soc., Zürich, 2006.

Maday, Yvon
L_\infty-stable approximation of a solution to div(Y)=f for f \in L^2 in two dimensions.
J. Sci. Comput. 28 (2006), no.2-3, 451--458.

Løvgren, Alf Emil ; Maday, Yvon ; Rønquist, Einar M.
A reduced basis element method for the steady Stokes problem.
M2AN Math. Model. Numer. Anal. 40 (2006), no.3, 529--552.

Maday, Yvon ; Magoulès, Frédéric
A survey of various absorbing interface conditions for the Schwarz algorithm tuned to highly heterogeneous media
Domain decomposition methods : theory and applications, 65—93, GAKUTO Internat. Ser. Math. Sci. Appl., 25, Gakkōtosho, Tokyo, 2006.

Rovas, D. V. ; Machiels, L. ; Maday, Y.
Reduced-basis output bound methods for parabolic problems
IMA J. Numer. Anal. 26 (2006), no. 3, 423--445.

Løvgren, Alf Emil ; Maday, Yvon ; Rønquist, Einar M.
A reduced basis element method for the steady Stokes problem : application to hierarchical flow systems.
Model. Identif. Control 27 (2006), no. 2, 79--94.

Maday, Yvon ; Salomon, Julien ; Turinici, Gabriel
Monotonic time-discretized schemes in quantum control
Numer. Math. 103 (2006), no. 2, 323--338.

Maday, Yvon ; Magoulès, Frédéric
Absorbing interface conditions for domain decomposition methods : a general presentation.
Comput. Methods Appl. Mech. Engrg. 195 (2006), no. 29-32, 3880--3900.

2005

Maday, Yvon ; Turinici, Gabriel
The parareal in time iterative solver : a further direction to parallel implementation
Domain decomposition methods in science and engineering, 441—448, Lect. Notes Comput. Sci. Eng., 40, Springer, Berlin, 2005.

Fischer, Paul F. ; Hecht, Frédéric ; Maday, Yvon.
A parareal in time semi-implicit approximation of the Navier-Stokes equations
Domain decomposition methods in science and engineering, 433—440, Lect. Notes Comput. Sci. Eng., 40, Springer, Berlin, 2005.

Gander, Martin J. ; Japhet, Caroline ; Maday, Yvon ; Nataf, Frédéric
A new cement to glue non conforming grids with Robin interface conditions : the finite element case
Domain decomposition methods in science and engineering, 259—266, Lect. Notes Comput. Sci. Eng., 40, Springer, Berlin, 2005.

Grandmont, Céline ; Maday, Yvon ; Maury, Bertrand
A multiscale/multimodel approach of the respiration tree
New trends in continuum mechanics, 147—157, Theta Ser. Adv. Math., 3, Theta, Bucharest, 2005.

Flemisch, Bernd ; Wohlmuth, Barbara ; Rapetti, Francesca ; Maday, Yvon
Scalar and vector potentials' coupling on nonmatching grids for the simulation of an electromagnetic brake
COMPEL 24 (2005), no. 3, 1061--1070.

Bernardi, Christine ; Maday, Yvon ; Rapetti, Francesca
Basics and some applications of the mortar element method
GAMM-Mitt. 28 (2005), no. 2, 97--123.

Maday, Yvon ; Magoulès, Frédéric
Non-overlapping additive Schwarz methods tuned to highly heterogeneous media
C. R. Math. Acad. Sci. Paris 341 (2005), no. 11, 701 – 705.

Kaber, Sidi Mahmoud ; Maday, Yvon
Analysis of some Padé-Chebyshev approximants
SIAM J. Numer. Anal. 43 (2005), no. 1, 437 – 454 .

2004

Maday, Yvon ; Rønquist, Einar M.
The reduced basis element method: application to a thermal fin problem.
SIAM J. Sci. Comput. 26 (2004), no. 1, 240--258 (electronic).

Ben Abdallah, Adnene ; Ben Belgacem, Faker ; Maday, Yvon ; Rapetti, Francesca
Mortaring the two-dimensional edge finite elements for the discretization of some electromagnetic models.
Math. Models Methods Appl. Sci. 14 (2004), no. 11, 1635--1656.

Barrault, Maxime ; Maday, Yvon ; Nguyen, Ngoc Cuong ; Patera, Anthony T.
An `empirical interpolation' method: application to efficient reduced-basis discretization of partial differential equations.
C. R. Math. Acad. Sci. Paris 339 (2004), no. 9, 667--672.

Flemisch, B. ; Maday, Y. ; Rapetti, F. ; Wohlmuth, B. I.
Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor.
J. Comput. Appl. Math. 168 (2004), no. 1-2, 191--205.

Bernardi, Christine ; Maday, Yvon ; Rapetti, Francesca
Discrétisations variationnelles de problèmes aux limites elliptiques.
Mathématiques & Applications (Berlin), 45. Springer-Verlag, Berlin, 2004. xii+310 pp. ISBN: 3-540-21369-4

2003

Maday, Y. ; Rapetti, F. ; Wohlmuth, B. I.
Mortar element coupling between global scalar and local vector potentials to solve eddy current problems.
Numerical mathematics and advanced applications, 847--865, Springer Italia, Milan, 2003.

Grandmont, Céline ; Maday, Yvon
Fluid-structure interaction: a theoretical point of view. Fluid-structure interaction,
1--22, Innov. Tech. Ser., Kogan Page Sci., London, 2003.

Maday, Yvon ; Salomon, Julien ; Turinici, Gabriel
Discretely monotonically convergent algorithms in quantum control.
Lagrangian and Hamiltonian methods for nonlinear control 2003, 291--294, IFAC, Laxenburg, 2003.

Grandmont, Céline ; Maday, Yvon
Some remarks on fluid-structure interaction problems in case of rigid body plus small perturbations.
Coupling of fluids, structures and waves in aeronautics, 239--250, Notes Numer. Fluid Mech. Multidiscip. Des., 85, Springer, Berlin, 2003.

Le Bris, Claude ; Maday, Yvon ; Turinici, Gabriel
Towards efficient numerical approaches for quantum control.
Quantum control: mathematical and numerical challenges, 139--154, CRM Proc. Lecture Notes, 33, Amer. Math. Soc., Providence, RI, 2003.

Emmel, L. ; Kaber, S. M. ; Maday, Y.
Padé-Jacobi filtering for spectral approximations of discontinuous solutions.
International Conference on Numerical Algorithms, Vol. I (Marrakesh, 2001). Numer. Algorithms 33 (2003), no. 1-4, 251--264.

Cancès, Eric ; Defranceschi, Mireille ; Kutzelnigg, Werner ; Le Bris, Claude ; Maday, Yvon
Computational quantum chemistry: a primer.
Handbook of numerical analysis, Vol. X, 3--270, Handb. Numer. Anal., X, North-Holland, Amsterdam, 2003

Buffa, Annalisa ; Maday, Yvon ; Rapetti, Francesca
Applications of the mortar element method to 3D electromagnetic moving structures.
Computational electromagnetics (Kiel, 2001), 35--50, Lect. Notes Comput. Sci. Eng., 28, Springer, Berlin, 2003.

Maday, Yvon ; Turinici, Gabriel
Error bars and quadratically convergent methods for the numerical simulation of the Hartree-Fock equations.
Numer. Math. 94 (2003), no. 4, 739--770.

Bouillault, F. ; Buffa, A. ; Maday, Y. ; Rapetti, F.
The mortar edge element method in three dimensions: application to magnetostatics.
SIAM J. Sci. Comput. 24 (2003), no. 4, 1303--1327 (electronic).

2002

Bal, Guillaume; Maday, Yvon
Coupling of transport and diffusion models in linear transport theory.
M2AN, Math. Model. Numer. Anal. 36, No.1, 69-86 (2002).

Maday, Yvon; Rønquist, Einar M.
A reduced-basis element method.
J. Sci. Comput. 17, No.1-4, 447-459 (2002).

Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel
A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations.
J. Sci. Comput. 17, No.1-4, 437-446 (2002).

Maday, Yvon; Rapetti, Francesca; Wohlmuth, Barbara I.
Coupling between scalar and vector potentials by the mortar element method.
C. R., Math., Acad. Sci. Paris 334, No.10, 933-938 (2002).

Maday, Yvon; Rønquist, Einar M.
A reduced-basis element method.
C. R., Math., Acad. Sci. Paris 335, No.2, 195-200 (2002).

Maday, Yvon; Turinici, Gabriel
A parareal in time procedure for the control of partial differential equation.
C. R., Math., Acad. Sci. Paris 335, No.4, 387-392 (2002).

Grandmont, Céline; Maday, Yvon; Métier, Paul
Existence of a solution for an unsteady elasticity problem in large displacement and small perturbation.
C. R., Math., Acad. Sci. Paris 334, No.6, 521-526 (2002).

Cancès, Eric; Le Bris, Claude; Maday, Yvon; Turinici, Gabriel
Towards reduced basis approaches in ab initio electronic structure computations.
J. Sci. Comput. 17, No.1-4, 461-469 (2002).

2001

Maday, Yvon; Turinici, Gabriel
Numerical analysis of the adiabatic variable method for the approximation of the nuclear hamiltonian.
M2AN, Math. Model. Numer. Anal. 35, No.4, 779-798 (2001).

Bernardi, Christine; Maday, Yvon
Spectral, spectral element and mortar element methods.
Blowey, James F. (ed.) et al., Theory and numerics of differential equations. 9th EPSRC numerical analysis summer school, Univ. of Durham, GB, July 10-21, 2000. Berlin: Springer. Universitext. 1-57 (2001).

Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca
A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines.
M2AN, Math. Model. Numer. Anal. 35, No.2, 191-228 (2001).

Lions, Jacques-Louis; Maday, Yvon; Turinici, Gabriel
Résolution d'EDP par un schéma en temps ``pararéel''. (A ``parareal'' in time discretization of PDE's).
C. R. Acad. Sci., Paris, Sér. I, Math. 332, No.7, 661-668 (2001).

Maday, Yvon; Maury, Bertrand; Metier, Paul
Interaction de fluides potentiels avec une membrane élastique. (Interaction of potential fluids with an elastic membrane).
ESAIM, Proc. 10, 23-33, electronic only (2001).

2000

Bernardi, Christine; Dauge, Monique; Maday, Yvon
Compatibilité de traces aux arètes et coins d'un polyédre. (Compatibility of traces on the edges and corners of a polyhedron).
C. R. Acad. Sci., Paris, Sér. I, Math. 331, No.9, 679-684 (2000).

Grandmont, Céline; Maday, Yvon
Existence for an unsteady fluid-structure interaction problem.
M2AN, Math. Model. Numer. Anal. 34, No.3, 609-636 (2000).

Machiels, Luc; Maday, Yvon; Oliveira, Ivan B.; Patera, Anthony T.; Rovas, Dimitrios V.
Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems.
C. R. Acad. Sci., Paris, Sér. I, Math. 331, No.2, 153-158 (2000).

Bernardi, Christine; Maday, Yvon
Mesh adaptivity in finite elements using the mortar method. (English)
Rev. Eur. élém. Finis 9, No.4, 451-465 (2000). MSC 2000: *65N30 65N50

Machiels, Luc; Maday, Yvon; Patera, Anthony T.
A ``flux-free'' nodal Neumann subproblem approach to output bounds for partial differential equations.
C. R. Acad. Sci., Paris, Sér. I, Math. 330, No.3, 249-254 (2000).

Grandmont, Céline; Maday, Yvon
Fluid-structure interaction: A theroretical point of view.
Rev. Eur. élém. Finis 9, No.6-7, 633-653 (2000).

1999

Boulmezaoud, Tahar-Zamène; Maday, Yvon; Amari, Tahar
On the linear force-free fields in bounded and unbounded three-dimensional domains.
M2AN, Math. Model. Numer. Anal. 33, No.2, 359-393 (1999).

Belgacem, Faker Ben; Maday, Yvon
Coupling spectral and finite elements for second order elliptic three-dimensional equations. (English)
SIAM J. Numer. Anal. 36, No.4, 1234-1263 (1999). MSC 2000: *65N30 65N55 65N15

Charpentier, Isabelle; Maday, Yvon; Patera, Anthony T.
Bounds evaluation for outputs of eigenvalue problems approximated by the overlapping modal synthesis method. (English. Abridged French version)
C. R. Acad. Sci., Paris, Sér. I, Math. 329, No.10, 909-914 (1999). MSC 2000: *65N25 35P15

Ben Belgacem, Faker; Buffa, Annalisa; Maday, Yvon
The mortar method for the Maxwell's equations in 3D. (English. Abridged French version)
C. R. Acad. Sci., Paris, Sér. I, Math. 329, No.10, 903-908 (1999). MSC 2000: *65N30 65N12 35Q60

Maday, Yvon; Patera, Anthony T.; Peraire, Jaume
A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem. (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). (English. Abridged French version)
C. R. Acad. Sci., Paris, Sér. I, Math. 328, No.9, 823-828 (1999). MSC 2000: *65N25 35P15 35P30

Bernardi, Christine; Dauge, Monique; Maday, Yvon
Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. (English)
Series in Applied Mathematics (Paris). 3. Paris: Gauthier-Villars/North Holland. v, 345 p. FF 349.00/pbk (1999). MSC 2000: *35-02 35A25 65N35

1998

Grandmont, Céline; Maday, Yvon
Analyse et méthodes numériques pour la simulation de phénomènes d'interaction fluid-structure. (Analysis and numerical methods for simulation of fluid-structure interaction phenomena). (French)
ESAIM, Proc. 3, 101-117 (1998). MSC 2000: *74F10 74B05 76D05

Grandmont, Céline; Maday, Yvon
Nonconforming grids for the simulation of fluid-structure interaction. (English)
Mandel, Jan (ed.) et al., Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10-14, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 218, 262-270 (1998). MSC 2000: *74S05 74F10 76D05

Xu, Chuanju; Maday, Yvon
A spectral element method for the time-dependent two-dimensional Euler equations: Applications to flow simulations. (English)
J. Comput. Appl. Math. 91, No.1, 63-85 (1998). MSC 2000: *76M22 76B10 76D05

Achdou, Yves; Maday, Yvon; Widlund, Olof
Iterative substructuring preconditioners for mortar element methods in two dimensions. (English)
SIAM J. Numer. Anal. 36, No.2, 551-580 (1998). MSC 2000: *65N30 65F30 65F10

Paraschivoiu, Marius; Peraire, Jaime; Maday, Yvon; Patera, Anthony T.
Fast bounds for outputs of parallel differential equations. (English)
Borggard, Jeff (ed.) et al., Computational methods for optimal design and control. Proceedings of the 2nd AFOSR workshop on Optimal design and control. Arlington, VA, USA, September 30 - October 3, 1997. Boston: Birkhäuser. Prog. Syst. Control Theory. 24, 323-360 (1998). MSC 2000: *65K10 93B51 93C20

Grandmont, Céline; Maday, Yvon
Existence de solutions d'un problème de couplage fluide-structure bidimensionnel instationnaire. (Existence for a two-dimensional, unsteady fluid-structure interaction problem). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I, Math. 326, No.4, 525-530 (1998). MSC 2000: *76D05 35Q30

Lacour, Catherine; Maday, Yvon
La méthode des éléments avec joint appliquée aux méthodes d'approximations discrete Kirchhoff triangles. (On the convergence of the discrete Kirchhoff triangles approximation for the mortar method). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I, Math. 326, No.10, 1237-1242 (1998). MSC 2000: *74S05 74K15 65N12

Maday, Yvon; Turinici, Gabriel
Analyse numérique de la méthode des variables adiabatiques pour l'approximation de l'hamiltonien nucléaire. (Numerical analysis of the adiabatic variable method for the approximation of the Hamiltonian nuclear). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I, Math. 326, No.3, 397-402 (1998). MSC 2000: *65N25 35P15 81V55

1997

Cazabeau, Lydie; Lacour, Catherine; Maday, Yvon
Numerical quadratures and mortar methods. (English)
Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5--7, 1997. Chichester: John Wiley \& Sons. 119-128 (1997). MSC 2000: *65N55 65N30 65D32

Boukir, K. ; Maday, Y. ; Métivet, B. ; Razafindrakoto, E.
A high-order characteristics/finite element method for the incompressible Navier-Stokes equations.
Internat. J. Numer. Methods Fluids 25 (1997), no. 12, 1421--1454.

Lacour, C. ; Maday, Y.
Two different approaches for matching nonconforming grids: the mortar element method and the FETI method.
Direct methods, linear algebra in optimization, iterative methods (Toulouse, 1995/1996). BIT 37 (1997), no. 3, 720--738.

Joly, Pascal ; Maday, Yvon ; Perrier, Valérie
A dynamical adaptive concept based on wavelet packet best bases: application to convection diffusion partial differential equations.
Multiscale wavelet methods for partial differential equations, 199--235, Wavelet Anal. Appl., 6, Academic Press, San Diego, CA, 1997.

Bernardi, Christine ; Maday, Yvon
Spectral methods.
Handbook of numerical analysis, Vol. V, 209--485, Handb. Numer. Anal., V, North-Holland, Amsterdam, 1997.

Xu, Chuanju ; Maday, Y.
A global algorithm in the numerical resolution of the viscous/inviscid coupled problem.
A Chinese summary appears in Chinese Ann. Math. Ser. A 18 (1997), no. 2, 270. Chinese Ann. Math. Ser. B 18 (1997), no. 2, 191--200.

Ben Belgacem, F. ; Maday, Y.
The mortar element method for three-dimensional finite elements.
RAIRO Modél. Math. Anal. Numér. 31 (1997), no. 2, 289--302.

1996

Charpentier, Isabelle; De Vuyst, Florian; Maday, Yvon
Méthode de synthèse modale avec une décomposition de domaine par recouvrement. (Component mode analysis with overlapping domain decomposition). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I 322, No.9, 881-888 (1996). MSC 2000: *65N25 65N55 65N12

Charpentier, Isabelle; Maday, Yvon
Identifications numériques de contrôles distribués pour l'équation des ondes. (Numerical identification of distributed controls for the wave equation). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I 322, No.8, 779-784 (1996). MSC 2000: *65K10 93B05 35L70

Achdou, Yves; Maday, Yvon; Widlund, Olof
Méthode itérative de sous-structuration pour les éléments avec joints. (Iterative substructuring methods for the mortar elements). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I 322, No.2, 185-190 (1996). MSC 2000: *65N30 65N55 65F10

1995

Ghaddar, Chahid; Maday, Yvon; Patera, Anthony T.
Analysis of a part design procedure. (English)
Numer. Math. 71, No.4, 465-510 (1995). MSC 2000: *49Q10 74S30 74P10

Charpentier, Isabelle; Maday, Yvon
Deux méthodes de décomposition de domaine pour la résolution d'équations aux dérivées partielles avec conditions de périodicité: application à la théorie de l'homogénéisation. (Two domain decomposition methods for solving partial differential equations with periodicity conditions: application to homogenization theory). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I 321, No.3, 358-366 (1995). MSC 2000: *65N55 65N30 65F10

Bernardi, Christine; Dauge, Monique; Maday, Yvon
Interpolation of nullspaces for polynomial approximation of divergence- free functions in a cube. (English)
Costabel, Martin (ed.) et al., Boundary value problems and integral equations in nonsmooth domains. Proceedings of the conference, held at the CIRM, Luminy, France, May 3-7, 1993. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 167, 27-46 (1995). MSC 2000: *46B70 46E35 41A10

Bernardi, Christine; Maday, Yvon
Raffinement de maillage en éléments finis par la méthode des joints. (Finite element mesh refinement by the mortar method). (French)
C. R. Acad. Sci., Paris, Sér. I 320, No.3, 373-377 (1995). MSC 2000: *65N50 65N30 65N15

1994

Joly, Pascal; Maday, Yvon; Perrier, Valérie
Towards a method for solving partial differential equations by using wavelet packet bases. (English)
Comput. Methods Appl. Mech. Eng. 116, 301-307 (1994). MSC 2000: *65M20 65M60 65M15

Boukir, Karima; Maday, Yvon; Métivet, Brigitte
A high order characteristics method for the incompressible Navier-Stokes equations. (English)
Comput. Methods Appl. Mech. Eng. 116, 211-218 (1994). MSC 2000: *76M25 76D05 76R10

Bernardi, Christine (ed.); Maday, Yvon (ed.)
Analysis, algorithms and applications of spectral and high order methods for partial differential equations. Selected papers from the international conference on spectral and high order methods (ICOSAHOM '92), Le Corum, Montpellier, France, 22-26 June 1992.Reprinted from the journals Computer Methods in Applied Mechanics and Engineering 116 (1994) and Finite Elements in Analysis and Design 16, No. 3-4 (1994). (English)
Amsterdam: North-Holland. 507 p. Dfl. 420.00 (1994). MSC 2000: *00B25 76-06 65-06

Bernardi, Christine; Dauge, Monique; Maday, Yvon
Interpolation de noyaux d'opérateurs différentiels, application aux méthodes spectrales. (Interpolation of nullspaces of differential operators with application to spectral methods). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I 318, No.4, 373-378 (1994). MSC 2000: *41A05 47E05

Errate, Dushan; Esteban, Maria J.; Maday, Yvon
Couplage fluide-structure. Un modèle simplifié en dimension 1. (Fluid-structure interaction. A simplified one-dimensional model). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I 318, No.3, 275-281 (1994). MSC 2000: *74F10 76D05 74B05

1993

Maday, Yvon; Kaber, Sidi M.Ould; Tadmor, Eitan
Legendre pseudospectral viscosity method for nonlinear conservation laws. (English)
SIAM J. Numer. Anal. 30, No.2, 321-342 (1993). MSC 2000: *65M70 65M12 35L65

Maday, Yvon; Meiron, Dan; Patera, Anthony T.; Rønquist, Einar M.
Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations. (English)
SIAM J. Sci. Comput. 14, No.2, 310-337 (1993). MSC 2000: *76M25 76D07 65N35

1992

Bernardi, Christine; Maday, Yvon
Approximations spectrales de problèmes aux limites elliptiques. (Spectral approximation for elliptic boundary value problems). (French)
Mathématiques \& Applications (Paris). 10. Paris: Springer-Verlag. iv, 242 p. (1992). MSC 2000: *47F05 65M6046E35

Bernardi, Christine; Maday, Yvon
Polynomial interpolation results in Sobolev spaces. (English)
J. Comput. Appl. Math. 43, No.1-2, 53-80 (1992). MSC 2000: *41A05 41A10 41A65

Maday, Yvon; Ravel, Jean Christophe
Adaptivité par ondelettes: Conditions aux limites et dimensions supérieures. (Adaptivity using wavelets: Boundary conditions and multidimensions). (French. English summary)
C. R. Acad. Sci., Paris, Sér. I 315, No.1, 85-90 (1992). MSC 2000: *65M60 65M15 35K15

Bernardi, Christine; Dauge, Monique; Maday, Yvon
Relèvements de traces préservant les polynômes. (Trace liftings which preserve polynomials). (French. Abridged English version)
C. R. Acad. Sci., Paris, Sér. I 315, No.3, 333-338 (1992). MSC 2000: *65N30 46G15 65N35

Bernardi, Christine; Coppoletta, Giuseppe; Maday, Yvon
Some spectral approximations of two-dimensional fourth-order problems. (English)
Math. Comput. 59, No.199, 63-76 (1992). MSC 2000: *65N35 65N15 31A30

Bernardi, Christine; Girault, Vivette; Maday, Yvon
Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation. (English)
IMA J. Numer. Anal. 12, No.4, 565-608 (1992). MSC 2000: *76M25 76D05 65N35

1991

Bernardi, Christine; Canuto, Claudio; Maday, Yvon
Spectral approximations of the Stokes equations with boundary conditions on the pressure. (English)
SIAM J. Numer. Anal. 28, No.2, 333-362 (1991). MSC 2000: *76D05 35Q30 65M12

Maday, Yvon
Résultats d'approximation optimaux pour les opérateurs d'interpolation polynomiale. (Optimal approximation results for polynomial interpolation operators.). (French)
C. R. Acad. Sci., Paris, Sér. I 312, No.9, 705-710 (1991). MSC 2000: *65D05 41A05 65N35

Maday, Yvon; Perrier, Valérie; Ravel, Jean-Christophe
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). (French)
C. R. Acad. Sci., Paris, Sér. I 312, No.5, 405-410 (1991). MSC 2000: *65Z05 65M70 35Q53

Bernardi, Christine; Maday, Yvon
Polynomial approximation of some singular functions. (English)
Appl. Anal. 42, No.1, 1-32 (1991). MSC 2000: *41A10 65N15

1990

Bernardi, Christine; Copoletta, Giuseppe; Girault, Vivette; Maday, Yvon
Spectral methods for the Stokes problem in stream-function formulation. (English)
Comput. Methods Appl. Mech. Eng. 80, No.1-3, 229-236 (1990). MSC 2000: *76M25 76D07 65N35

Maday, Yvon; Rønquist, Einar M.
Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries. (English)
Comput. Methods Appl. Mech. Eng. 80, No.1-3, 91-115 (1990). MSC 2000: *65L60 65N35 65L10

Ho, Lee-Wing; Maday, Yvon; Patera, Anthony T.; Rønquist, Einar M.
A high-order Lagrangian-decoupling method for the incompressible Navier- Stokes equations. (English)
Comput. Methods Appl. Mech. Eng. 80, No.1-3, 65-90 (1990). MSC 2000: *76M10 76R99 80A20

Bernardi, Christine; Maday, Yvon
Relèvement polynômial de traces et applications. (Polynomial lifting of traces and applications). (French)
RAIRO, Modélisation Math. Anal. Numér. 24, No.5, 557-611 (1990). MSC 2000: *65N35 65N15 65D05

Anagnostou, George; Maday, Yvon; Mavriplis, Catherine; Patera, Anthony T.
On the mortar element method: Generalizations and implementation. (English)
Domain decomposition methods for partial differential equations, Proc. 3rd Int. Symp. Houston/TX (USA) 1989, 157-173 (1990). MSC 2000: *65N30 65N55 65N35

Bernardi, Christine; Canuto, Claudio; Maday, Yvon; Métivet, Brigitte
Single-grid spectral collocation for the Navier-Stokes equations. (English)
IMA J. Numer. Anal. 10, No.2, 253-297 (1990). MSC 2000: *76D05 76M25 65N35

Bernardi, Christine; Debit, Naïma; Maday, Yvon
Coupling finite element and spectral methods: First results. (English)
Math. Comput. 54, No.189, 21-39 (1990). MSC 2000: *65N30 65N35 65N15

1989

Maday, Yvon; Mavriplis, Cathy; Patera, Anthony T.
Nonconforming mortar element methods: Application to spectral discretizations. (English)
Domain decomposition methods, Proc. 2nd Int. Symp., Los Angeles/Calif. 1988, 392-418 (1989). MSC 2000: *65N30 65N35 35J25

Bernardi, Christine; Maday, Yvon
Approximation results for spectral methods with domain decomposition. (English)
Appl. Numer. Math. 6, No.1/2, 33-52 (1989). MSC 2000: *65N35 35J25

Bernardi, Christine; Maday, Yvon; Sacchi Landriani, Giovanni
Noncorming matching conditions for coupling spectral and finite element methods. (English)
Appl. Numer. Math. 6, No.1/2, 65-84 (1989). MSC 2000: *65N35 65N30 35J25

Maday, Yvon
Relèvements de traces polynomiales et interpolations hilbertiennes entre espaces de polynômes. (Extension of polynomial traces and Hilbert interpolation between spaces of polynomials). (French)
C. R. Acad. Sci., Paris, Sér. I 309, No.7, 463-468 (1989). MSC 2000: *46E35 46E10 46M35

Maday, Yvon; Tadmor, Eitan
Analysis of the spectral vanishing viscosity method for periodic conservation laws. (English)
SIAM J. Numer. Anal. 26, No.4, 854-870 (1989). MSC 2000: *65M12 65M15 35L65

Bernardi, Christine; Maday, Yvon
Properties of some weighted Sobolev spaces and application to spectral approximations. (English)
SIAM J. Numer. Anal. 26, No.4, 769-829 (1989). MSC 2000: *65N35 65N15 46E35

1988

Maday, Yvon; Munoz, Rafael
Spectral element multigrid. II: Theoretical justification. (English)
J. Sci. Comput. 3, No.4, 323-353 (1988). MSC 2000: *65L10 65L60 65F10

Bernardi, Christine; Maday, Yvon
Spectral methods for the approximation of fourth-order problems: Application to the Stokes and Navier-Stokes equations. (English)
Comput. Struct. 30, No.1/2, 205-216 (1988). MSC 2000: *76D05 76D07 76M99

Bernardi, Christine; Canuto, Claudio; Maday, Yvon
Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem. (English)
SIAM J. Numer. Anal. 25, No.6, 1237-1271 (1988). MSC 2000: *76D07 35Q30 65N30

Bernardi, Christine; Maday, Yvon
A collocation method over staggered grids for the Stokes problem. (English)
Int. J. Numer. Methods Fluids 8, No.5, 537-557 (1988). MSC 2000: *76D07 76M99

1987

Bernardi, Christine; Debit, Naïma; Maday, Yvon
Couplage de méthodes spectrale et d'éléments finis: premiers résultats d'approximation. (Coupling a spectral method and a finite element method: first approximation results). (French)
C. R. Acad. Sci., Paris, Sér. I 305, 353-356 (1987). MSC 2000: *65N35 65N30 65N15

Bernardi, Christine; Maday, Yvon; Métivet, Brigitte
Spectral approximation of the periodic nonperiodic Navier-Stokes equations. (English)
Numer. Math. 51, 655-700 (1987). MSC 2000: *65Z05 76D05 35Q30

1986

Bernardi, Christine; Canuto, Claudio; Maday, Yvon
Un problème variationnel abstrait. Application à une méthode de collocation pour les équations de Stokes. (An abstract variational problem. Application to a collocation method for the Stokes equations). (French)
C. R. Acad. Sci., Paris, Sér. I 303, 971-974 (1986). MSC 2000: *49J20 65N35 76D07

Bernardi, Christine; Maday, Yvon
Propriétés de quelques espaces de Sobolev avec poids et application à la collocation de Tchebycheff. (Properties of some weighted Sobolev spaces and application to the Chebyshev collocation). (French)
C. R. Acad. Sci., Paris, Sér. I 303, 829-832 (1986). MSC 2000: *46E35 65N35 35J25

Bernardi, Christine; Maday, Yvon; Métivet, Brigitte
Une méthode directe de collocation pour le problème de Stokes (A direct collocation method for the Stokes problem). (French)
C. R. Acad. Sci., Paris, Sér. I 302, 163-166 (1986). MSC 2000: *76D07 35Q30 65N35

1984

Canuto, Claudio; Maday, Yvon; Quarteroni, Alfio
Combined finite element and spectral approximation of the Navier-Stokes equations. (English)
Numer. Math. 44, 201-217 (1984). MSC 2000: *76D05 65N30

1981

Maday, Yvon; Quarteroni, Alfio
Approximation de l'équation de Burgers stationnaire par des méthodes spectrales. (French)
C. R. Acad. Sci., Paris, Sér. I 293, 143-146 (1981). MSC 2000: *35Q99 35A35 35P30

Maday, Yvon; Quarteroni, Alfio
Legendre and Chebyshev spectral approximations of Burgers' equation. (English)
Numer. Math. 37, 321-332 (1981). MSC 2000: *41A10 41A65 41A25

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