Approximations spectrales deprobì emes aux limites elliptiques, 1992. ,
A Mathematical Introduction to Fluid Mechanics , en anglais, 1993. ,
The finite element method for elliptic problems, 1979. ,
Wavelet methods in numerical analysis, Handbook of Numerical Analysis, 2000. ,
Numerical analysis of wavelet methods, Studies in mathematics and its applications, 2003. ,
Vortex Methods : Theory and Practice, 2001. ,
DOI : 10.1017/CBO9780511526442
A Practical Guide to Splines, book, 2001. ,
Finite element methods for Navier-Stokes equations, 1986. ,
DOI : 10.1007/978-3-642-61623-5
Turbulence in Fluids, 1997. ,
Une exploration des signaux en ondelettes, Edition de l' ´ Ecole polytechique, J.M. Combes et al, p.21, 1989. ,
Ondelettes et opérateurs I : ondelettes, 1990. ,
Numerical approximation of partial differential equations, 1994. ,
IntroductionàIntroduction`Introductionà la simulation des grandeséchellesgrandeséchelles pour lesécoulements lesécoulements de fluide incompressible, 1998. ,
The Navier-Stokes equations, North-Holland, 1984. ,
Adapted Wavelet Analysis from Theory to Software Références sur les ondelettes [BF93] G. Battle et P. Federbush, Divergence-Free Vector Wavelets, Michigan Math, J, vol.40, pp.181-195, 1993. ,
Wavelets for Quantum Gravity and Divergence-Free Wavelets, Applied and Computational Harmonic Analysis, vol.1, issue.3, pp.295-297, 1993. ,
DOI : 10.1006/acha.1994.1016
On interpolatory divergence-free wavelets, to appear, 2005. ,
Reynolds-Stress Model Dual-Time-Stepping Computation of Unsteady Three-Dimensional Flows, AIAA Journal, vol.41, issue.10, pp.1882-1894, 2003. ,
DOI : 10.2514/2.1904
On the Effective Construction of Compactly Supported Wavelets Satisfying Homogeneous Boundary Conditions on the Interval, Applied and Computational Harmonic Analysis, vol.4, issue.1, pp.62-73, 1997. ,
DOI : 10.1006/acha.1996.0203
Un algorithme numérique hautement adaptatif et rapidè a base d'ondelettes pour leséquationsleséquations d'´ evolution, C.R. Math. Rep ,
[CD93] A. Cohen, I. Daubechies On the instability of arbitrary biorthogonal wavelet packets, Canada Vol SIAM J. of Math. Anal, vol.21, issue.245, pp.33-38, 1993. ,
Biorthogonal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, vol.10, issue.5, pp.485-560, 1992. ,
DOI : 10.1002/cpa.3160450502
Wavelets on the Interval and Fast Wavelet Transforms, Applied and Computational Harmonic Analysis, vol.1, issue.1, pp.54-81, 1993. ,
DOI : 10.1006/acha.1993.1005
URL : https://hal.archives-ouvertes.fr/hal-01311753
Adaptive wavelet methods for elliptic operator equations: Convergence rates, Mathematics of Computation, vol.70, issue.233, pp.27-75, 2001. ,
DOI : 10.1090/S0025-5718-00-01252-7
Adaptive Wavlet Methods for operator equations : beyond the Elliptic Case, J. FoCM, vol.2, issue.3, pp.203-245, 2002. ,
Wickerhauser Wavelet Analysis and Signal Processing , dans Wavelets and Their Applications, pp.153-178, 1992. ,
Biorthogonal Spline-Wavelets on the Interval -Stability and Moment Conditions, WIAS-Preprint 265, 1996. ,
Wavelets on irregular point sets, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1760, pp.2397-2413, 1760. ,
DOI : 10.1098/rsta.1999.0439
Poly-scale refinability and subdivision, Applied and Computational Harmonic Analysis, vol.13, issue.1, pp.35-62, 2002. ,
DOI : 10.1016/S1063-5203(02)00006-4
URL : http://doi.org/10.1016/s1063-5203(02)00006-4
Navier and Stokes meet the wavelet, Comm. Math. Phys, vol.155, issue.2, pp.219-248, 1993. ,
Construction et proprietes des bases d'ondelettes. Remarques sur la controlabilite exacte, Thèse de doctorat de l'Ecole polytechnique, 1989. ,
Pereyra Divergence-Free Multiwavelets, Aproximation Theory IX, pp.161-168, 1998. ,
Analyses multi-résolutions non orthogonales, commutation entre projecteurs et dérivation et ondelettes vecteursàvecteurs`vecteursà divergence nulle, Revista Matemática Iberoamericana, vol.8, issue.2, pp.221-236, 1992. ,
Un théorème d'inexistance pour les ondelettes vecteursà vecteurs`vecteursà divergence nulle, C. R. Acad. Sci. Paris, t. 319, Série I On the fast approximation of some non linear operators in non regular wavelet space, C.R. Math. Rep. Acad. Sci. Canada Vol, vol.21, issue.2, pp.811-813, 1994. ,
A Theory for multiresolution signal decomposition : the wavelet representation, IEEE, Transactions on PAMI, vol.2, issue.7, 1987. ,
Biorthogonal spline wavelets on the interval for the resolution of boundary problems, Math. Mod. Methods in Appl. Sci, vol.6, pp.749-791, 1996. ,
Ondelettes sur l'intervalle pour la prise en compte de conditions aux limites, C.R. Acad. Sci. Paris, vol.321, pp.1163-1169, 1995. ,
Orthonormal Wavelet Bases Adapted for Partial Differential Equations with Boundary Conditions, SIAM Journal on Mathematical Analysis, vol.29, issue.4, pp.1040-1065, 1998. ,
DOI : 10.1137/S0036141095295127
Ondelettes et Simulation numérique, 1991. ,
Les Ondelettes pour l'Analyse et la Simulation directe de la Turbulence bidimensionnelle, HabilitationàHabilitationà diriger des recherches Paris XIII, 1996. ,
Multiwavelets : Theory and Applications, 1996. ,
The lifting scheme : A construction of second generation wavelets, Industrial Mathematics Initiative, 1995. ,
Non-tensorproduct divergence-free Wavelets, preprint Institut für Geometrie und Praktische Mathematik, RWTH Aachen, 1994. ,
DOI : 10.1007/bf02123473
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.468.145
Wavelet Bases in H(div) and H(curl), Mathematics of Computation, vol.70, issue.234, pp.739-766, 2000. ,
Wavelets and Time-Frequency Analysis, Proceedings of the IEEE, pp.523-540, 1996. ,
Basis and Convergence Properties of WaveletPackets, Proceedings of Conference on Wavelet Analysis and Applications, 2000. ,
Divergence-Free Wavelet Analysis of Turbulent Flows, J. of Scientific Computing, vol.17, issue.1, pp.49-66, 2002. ,
Approximations spectrales deprobì emes aux limites elliptiques, Mathématiques & Applications, vol.10, 1992. ,
Produits de matrices rapides en bases d'ondelettes : applicationàapplication`applicationà la résolution numérique d'´ equations aux dérivées partielles, 1996. ,
A pseudo-wavelet scheme for the two-dimensional Navier-Stokes equations, Comp. Appl. Math, vol.15, issue.2, pp.139-160, 1996. ,
Vorticity dynamics and turublence models for large-eddy simulations, M2AN, pp.187-207, 2003. ,
A Comparison of Spectral and Vortex Methods in Three-Dimensional Incompressible Flows, Journal of Computational Physics, vol.175, issue.2, pp.1-11, 2002. ,
DOI : 10.1006/jcph.2001.6963
A wavelet-Galerkin method for the Stokes problem, Computing, vol.56, pp.259-302, 1996. ,
Div-free and curl-free wavelets for Navier-Stokes, Journal of Turbulence, 2005. ,
Vectorial Interpolation Using Radial-Basis-Like Functions, A paraitre dans Computers and Mathematics with Applications, 2005. ,
Wavelet transforms and their applications to turbulence, Ann. Rev. Flu. Mech, pp.395-457, 1992. ,
Coherent Vortex Simulation (CVS), A Semi- Deterministic Turbulence Model Using Wavelets, Flow, Turbulence and Combustion, pp.393-426, 2001. ,
Numerical Simulation of Decaying Turbulence in an Adaptive Wavelet Basis, Applied and Computational Harmonic Analysis, vol.3, issue.4, pp.393-397, 1996. ,
DOI : 10.1006/acha.1996.0033
Global Stability of Vortex Solutions of the Two-Dimensional Navier-Stokes Equation, Communications in Mathematical Physics, vol.100, issue.1, pp.97-129, 2005. ,
DOI : 10.1007/s00220-004-1254-9
Existence and stability of asymetric Burgers vortices, Journal of Mathematical Fluid Mechanics, 2005. ,
Three-Dimensional Stability of Burgers Vortices, Communications in Mathematical Physics, vol.208, issue.2, 2005. ,
DOI : 10.1007/s00220-010-1132-6
URL : https://hal.archives-ouvertes.fr/hal-01227494
Adaptive LES of 3D decaying isotropic turbulence In Studying turbulence using numerical simulation databases -X, Proceedings of the, 14 pp. Stanford : CTR, 2004. ,
Adaptive wavelet solvers for the unsteady incompressible Navier-Stokes equations Advances in Mathematical Fluid Mechanics, 2000. ,
An approximately divergence-free 9-node velocity element (with variations) for incompressible flows, Internat. J. Numer. Methods Fluids, vol.1, issue.4, pp.323-346, 1981. ,
Wavelet analysis of Navier-Stokes flow, Zeitschrift f??r Physik B Condensed Matter, vol.100, issue.1, pp.137-147, 1996. ,
DOI : 10.1007/s002570050103
Xiu Ye Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations, Linear Algebra Appl, vol.171, pp.9-52, 1992. ,
Xiu Ye A discrete divergence-free basis for finite element methods, Numer, Algorithms, vol.16, pp.3-4, 1998. ,
An exact criterion for the stirring properties of nearly two-dimensional turbulence, Physica D: Nonlinear Phenomena, vol.113, issue.1, pp.98-110, 1998. ,
DOI : 10.1016/S0167-2789(97)00143-7
Multiscale phenomena : Green's functions, the Dirichlet-to- Neumann formulation, subgrid-scale models, bubbles and the origins of stabilized methods, Computer Methods in Applied Mechanics and Engineering, vol.27, pp.387-401, 1995. ,
Analyse théorique et numérique de certains modèles de viscosité turbulente, 2002. ,
Divergence-Free Bases and Multiresolution Methods for Reduced-Order Flow Modeling, AIAA Journal, vol.38, issue.12, pp.2219-2232, 2000. ,
DOI : 10.2514/2.912
Towards an adaptive wavelet-based 3D Navier-Stokes solver, Numerical flow simulation I, Notes on Numerical Fluid Mechanics, pp.339-364, 1998. ,
A Three-Dimensional Adaptive Wavelet Method for Fluid-Structure Interaction, Direct and Large- Eddy Simulation, 2004. ,
DOI : 10.1007/978-1-4020-2313-2_17
An Adaptive Wavelet Collocation Method for Fluid-Structure Interaction at High Reynolds Numbers, SIAM Journal on Scientific Computing, vol.26, issue.6 ,
DOI : 10.1137/S1064827503428503
Topologie de mélange dans un fluide turbulent géophysique, 2000. ,
Wavelet transform of the Navier-Stokes equations and the generalized dimensions of turbulence, Appl. Sci. Res, vol.51, issue.12, pp.109-113, 1993. ,
An element level zero-divergence finite element approach, Numerical methods in laminar and turbulent flows, Part 1, Internat. J. Numer. Methods Fluids, vol.19, issue.9, pp.795-813, 1994. ,
Adaptativité dynamique sur bases d'ondelettes pour l'approximation d'´ equations aux dérivées partielles, C. R. Acad. Sci, issue.5, pp.405-410, 1991. ,
Cycle thorium et réacteursréacteurs`réacteursà sel fondu Exploration du champ des paramètres et des contraintes définissant le " Thorium Molten Salt Reactor, Thèse de doctorat de l, 2005. ,
Analysis of turbulence in the orthonormal wavelet representation, Journal of Fluid Mechanics, vol.232, pp.469-520, 1991. ,
Ferziger Model consistency in large eddy simulation of turbulent channel flows, Phys. Fluids, vol.3188, issue.7, pp.31-9171071884, 1988. ,
Coherent vortex extraction in 3D homogeneous turbulence: comparison between orthogonal and biorthogonal wavelet decompositions, Journal of Turbulence, vol.7, 2005. ,
DOI : 10.1017/S0022112085003251
Comparison of an Adaptive Wavelet Method and Nonlinearly Filtered Pseudospectral Methods for Two-Dimensional Turbulence, Theoretical and Computational Fluid Dynamics, vol.9, issue.3-4, pp.191-206, 1997. ,
DOI : 10.1007/s001620050040
Numerical simulation of a mixing layer in an adaptive wavelet basis, Comptes Rendus de l'Acad??mie des Sciences - Series IIB - Mechanics-Physics-Astronomy, vol.328, issue.3, pp.263-269, 2000. ,
DOI : 10.1016/S1287-4620(00)00106-X
Adaptive Wavelet Simulation of a Flow around an Impulsively Started Cylinder Using Penalisation, Applied and Computational Harmonic Analysis, vol.12, issue.3, pp.374-380, 2002. ,
DOI : 10.1006/acha.2002.0378
Using divergence-free wavelets for the numerical solution of the Stokes problem, AMLI'96 : Proceedings of the Conference on Algebraic Multilevel Iteration Methods with Applications, pp.261-277, 1996. ,
The spatial structure and statistical properties of homogeneous turbulence, J. Fluid Mech, vol.225, pp.1-20, 1991. ,