C. Amrouche, C. Bernardi, M. Dauge, and V. Girault, Vector potentials in three-dimensional non-smooth domains, Mathematical Methods in the Applied Sciences, vol.2, issue.9, pp.823-864, 1998.
DOI : 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO;2-B

L. Andersson, N. Hall, B. Jawerth, and G. Peters, Wavelets on closed subsets of the real line, Recents Advances in Wavelets Analysis, pp.1-61, 1993.

G. Battle and P. Federbush, Divergence-free vector wavelets, Michigan Math, Journ, vol.40, pp.181-195, 1993.
DOI : 10.1307/mmj/1029004682

URL : http://projecteuclid.org/download/pdf_1/euclid.mmj/1029004682

G. Chiavassa and J. Liandrat, 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

A. Cohen, I. Daubechies, and P. Vial, 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

W. Dahmen, A. Kunoth, and K. Urban, Biorthogonal Spline Wavelets on the Interval???Stability and Moment Conditions, Applied and Computational Harmonic Analysis, vol.6, issue.2, pp.132-196, 1999.
DOI : 10.1006/acha.1998.0247

E. Deriaz and V. Perrier, Divergence-free and curl-free wavelets in 2D and 3D, application to turbulent flows, J. of Turbulence, vol.7, issue.3, pp.1-37, 2006.

E. Deriaz and V. Perrier, Direct Numerical Simulation of Turbulence Using Divergence-Free Wavelets, Multiscale Modeling & Simulation, vol.7, issue.3, pp.1101-1129, 2008.
DOI : 10.1137/070701017

URL : https://hal.archives-ouvertes.fr/hal-00864426

V. Girault and P. Raviart, Finite element methods for Navier-Stokes equations, 1986.
DOI : 10.1007/978-3-642-61623-5

S. Grivet-talocia and A. Tabacco, WAVELETS ON THE INTERVAL WITH OPTIMAL LOCALIZATION, Mathematical Models and Methods in Applied Sciences, vol.10, issue.03, pp.441-462, 2000.
DOI : 10.1142/S0218202500000252

A. Jouini and P. G. Lemarié-rieusset, Analyses multi-résolutions biorthogonales sur l'intervalle et applications, Annales de l'I.H.P. Section C, vol.10, pp.453-476, 1993.

S. Kadri-harouna, Ondelettes pour la prise en compte de conditions aux limites en turbulence incompressible, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00544373

S. Kadri-harouna and V. Perrier, Helmholtz-Hodge Decomposition on [0, 1] d by Divergence-free and Curl-free Wavelets, Curves and Surfaces, pp.311-329, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00558479

P. G. Lemarié-rieusset, Analyses multi-résolutions non orthogonales, commutation entre projecteurs et dérivation et ondelettes vecteursàvecteursà divergence nulle, Revista Matemática Iberoamericana, vol.8, issue.2, pp.221-236, 1992.

R. Masson, BIORTHOGONAL SPLINE WAVELETS ON THE INTERVAL FOR THE RESOLUTION OF BOUNDARY PROBLEMS, Mathematical Models and Methods in Applied Sciences, vol.06, issue.06, pp.749-791, 1996.
DOI : 10.1142/S0218202596000328

P. Monasse and V. Perrier, 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

R. Stevenson, Divergence-free wavelet bases on the hypercube, Applied and Computational Harmonic Analysis, vol.30, issue.1, pp.1-19, 2010.
DOI : 10.1016/j.acha.2010.01.007

R. Stevenson, Divergence-free wavelet bases on the hypercube: Free-slip boundary conditions, and applications for solving the instationary Stokes equations, Mathematics of Computation, vol.80, issue.275, pp.1499-1523, 2011.
DOI : 10.1090/S0025-5718-2011-02471-3

K. Urban, On divergence-free wavelets, Advances in Computational Mathematics, pp.51-81, 1995.
DOI : 10.1007/BF02123473

K. Urban, Wavelet Bases for H(div) and H(curl), Math. Comput, vol.70, pp.739-766, 2000.
DOI : 10.1007/978-3-642-56002-6_2