Turbulence, Coherent Structures, Dynamical Systems and Symmetry, 1997. ,
DOI : 10.1017/cbo9780511622700
Galerkin proper orthogonal decomposition methods for parabolic problems, Numerische Mathematik, vol.90, issue.1, pp.117-148, 2001. ,
DOI : 10.1007/s002110100282
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics, SIAM Journal on Numerical Analysis, vol.40, issue.2, pp.233-253, 2002. ,
DOI : 10.1137/S0036142900382612
PROPER ORTHOGONAL DECOMPOSITION (POD) OF A CLASS OF VIBROIMPACT OSCILLATIONS, Journal of Sound and Vibration, vol.240, issue.5, pp.859-889, 2001. ,
DOI : 10.1006/jsvi.2000.3264
Efficient model reduction in non-linear dynamics using the Karhunen-Lo???ve expansion and dual-weighted-residual methods, Computational Mechanics, vol.31, issue.1-2, pp.179-191, 2003. ,
DOI : 10.1007/s00466-002-0404-1
The use of the Karhunen-Lo??ve decomposition for the modeling of distributed parameter systems, Chemical Engineering Science, vol.51, issue.1, pp.81-98, 1996. ,
DOI : 10.1016/0009-2509(95)00230-8
Reconstruction equations and the Karhunen???Lo??ve expansion for systems with symmetry, Physica D: Nonlinear Phenomena, vol.142, issue.1-2, pp.1-19, 2000. ,
DOI : 10.1016/S0167-2789(00)00042-7
Reduced-order model for an impacting beam using the Karhunen-Lò eve expansion, Tendências em Matemática Aplicada e Computacional, pp.217-226, 2002. ,
Karhunen???Lo??ve decomposition of coupled axial/bending vibrations of beams subject to impacts, Journal of Sound and Vibration, vol.279, issue.3-5, pp.1015-1036, 2005. ,
DOI : 10.1016/j.jsv.2003.11.057
Mathematical Analysis and Numerical Methods for, Science and Technology, vol.1, issue.2-3, 1992. ,
Structural Acoustics and Vibration, The Journal of the Acoustical Society of America, vol.109, issue.6, 1998. ,
DOI : 10.1121/1.1352086
URL : https://hal.archives-ouvertes.fr/hal-00689039
POMs analysis of randomly vibrating systems obtained from Karhunen???Lo??ve expansion, Journal of Sound and Vibration, vol.297, issue.3-5, pp.774-793, 2006. ,
DOI : 10.1016/j.jsv.2006.04.023
Reduced models in the medium frequency range for general dissipative structural-dynamics systems, European Journal of Mechanics - A/Solids, vol.17, issue.4, pp.657-685, 1998. ,
DOI : 10.1016/S0997-7538(99)80027-8
URL : https://hal.archives-ouvertes.fr/hal-00765806
Les Distributions. Tome 4. Application de l'Analyse Harmonique. Dunod: Paris, 1967. ,
Numerical Methods in Finite Element Analysis, 1976. ,
Turbulence and the dynamics of coherent structures. I. Coherent structures, Quarterly of Applied Mathematics, vol.45, issue.3, pp.561-571, 1987. ,
DOI : 10.1090/qam/910462