Articles parus ou acceptés

L. Paoli, M. Schatzman. Vibrations avec contraintes unilatérales et perte d'énergie aux impacts, en dimension finie, Comptes Rendus de l'Académie des Sciences, Série I, t. 317, pp 97-101, 1993.

L. Paoli, M. Schatzman. Schéma numérique pour un modèle de vibrations avec contraintes unilatérales et perte d'énergie aux impacts, en dimension finie, Comptes Rendus de l'Académie des Sciences, Série I, t. 317, pp 211-215, 1993.

L. Paoli, M. Schatzman. Mouvement à un nombre fini de degrés de liberté avec contraintes unilatérales : cas avec perte d'énergie, Modél. Math. Anal. Numér. (M2AN), Vol. 27, no. 6, pp 673-717, 1993.

A. Mikelic, L. Paoli. On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain, Computational Geosciences, Vol. 1, no. 1, pp 59-83, 1997. (Erratum, Vol. 4, pp 99-101, 2000).

L. Paoli, M. Schatzman. Resonance in impact problems, Math. Comput. Modelling,  "Recent advances in contact mechanics", Vol. 28(4-8), pp  385-406, 1998.

A. Mikelic, L. Paoli. Homogenization of the inviscid incompressible fluid flow through a 2D porous medium, Proceedings  Amer. Soc., Vol. 127, pp 2019-2028, 1999.

L. Paoli, M. Schatzman. Approximation et existence en vibro-impact, Comptes Rendus de l'Académie des Sciences, Série I, t. 329, pp 1103-1107, 1999.

L. Paoli. An existence result for vibrations with unilateral constraints: case of a non-smooth set of constraints,  Math. Models Methods Appl. Sci. (M3AS), Vol. 10, no. 6, pp 815-831, 2000.

L. Paoli.  Time-discretization of vibro-impact, Phil. Trans. Roy. Soc. London A, Vol. 359, pp 2405-2428, 2001.

L. Paoli, M. Schatzman. Penalty approximation for non  smooth contraints in vibroimpact, J. Diff. Equations, Vol. 177, pp 375-418, 2001.

L. Paoli, M. Schatzman. Non convex aspects of dynamics with impact, in From convexity to non convexity (ouvrage collectif dédié à la mémoire du Prof. Fichera), R.Gilbert & P.Pardalos editors, Nonconvex Optim. Appl., Vol. 55, Kluwer Academic Publishers, Boston,  pp 207-222, 2001.

B. Brogliato,  A.A.  ten Dam, L. Paoli, F. Genot, M. Abadie. Numerical simulation of finite dimensional multibody nonsmooth mechanical systems, ASME Applied Mechanics Reviews,  Vol. 55, no. 2, pp 107-149, 2002.

L. Paoli, M. Schatzman. A numerical scheme for impact problems I. The one-dimensional case, SIAM on Numerical Analysis, Vol. 40, no. 2, pp 702-733, 2002.

L. Paoli, M. Schatzman. A numerical scheme for impact problems II. The multidimensional case, SIAM on Numerical Analysis, Vol. 40, no. 2, pp 734-768, 2002.

L. Paoli, M. Schatzman.  Penalty approximation for dynamical systems submitted to multiple non-smooth constraints, Multibody System Dynamics, Vol. 8, no. 3, pp 347-366, 2002.

L. Paoli. Asymptotic behavior of a two fluid flow in a thin domain: From Stokes equations to Buckley-Leverett equation and Reynolds law,  Asymptotic Analysis, Vol. 34, no. 2, pp 93-120, 2003.

S. Meliani, L. Paoli.  Homogenization of a model of cure process for composites,    Nonlinear Anal. TMA, Vol. 56, pp 385-413, 2004.

L. Paoli.  Problèmes de vibro-impact: étude de la dépendance par rapport aux données,  C.R. Acad. Sci. Paris, Série I, Vol. 339, pp 27-32, 2004.

S. Meliani, L. Paoli.  Etude d'un modèle thermo-chimique de formation d'un matériau composite,
C.R. Acad. Sci. Paris, Série I, Vol. 339, pp 597-602, 2004.

L. Paoli.  Continuous dependence on data for vibro-impact problems,   Math. Models Methods Appl. Sci. (M3AS), Vol. 15, no. 1, pp 1-41, 2005.

L. Paoli.  An existence result for non-smooth vibro-impact problems,   J. Diff. Equations, Vol. 211, pp 247-281, 2005.

Y. Dumont, L. Paoli. Vibrations of a beam between stops: convergence of a fully discretized approximation, ESAIM: Math. Modelling Num. Ana. (M2AN), Vol. 40, no. 4, pp 705-734, 2006.

S. Meliani, L. Paoli.  Numerical analysis of a model of cure process for composites,  Math. Methods Applied Sciences (M2AS), Vol. 30, pp 449-478, 2007.

R. Dzonou, M. Monteiro-Marques, L. Paoli.  Algorithme de type "sweeping process" pour un problème de vibro-impact avec un opérateur d'inertie non trivial,   C.R. Acad. Sci. Paris, Série IIb - Mécanique, Vol. 335, pp 56-60, 2007.

L. Paoli, M. Schatzman.  Numerical simulation of the dynamics of an impacting bar, à paraître dans Computer Methods in Applied Mechanics and Engineering, 2007.

A. Cabot, L. Paoli.  Asymptotics for some vibro-impact problems with a linear dissipation term, à paraître dans J. Maths Pures et Appliquées, 2007.

Actes de congrès (avec comité de lecture)

M. Panet, L. Paoli, M. Schatzman. Vibrations with an obstacle and a finite number of degrees of freedom, pp 159-164  in Proceedings of International Symposium on Identification of Nonlinear Mechanical Systems from Dynamics Tests, Euromech 280, L.Jezequel  & C.H.Lamarque editors, Balkema, Rotterdam, 1992.

M. Panet, L. Paoli, M. Schatzman. Theoretical and numerical study for a model of vibrations with unilateral constraints, pp 457-464 in Proceedings of Contact Mechanics International Symposium 2 (CMIS 2), M.Raous, M.Jean  & J.J.Moreau editors, Plenum Press, New-York, London, 1995.

L. Paoli, M. Schatzman. Dynamical impact problem with loss of energy: numerical study for large times. Application to a model of tight joints, pp 233-240  in Proceedings of Contact Mechanics 95, M.H.Aliabadi  & C.Alessandri editors, Computational Mechanics Publications, Southampton, Boston, 1995.

L. Paoli. Homogenization of the 2D incompressible Euler equations in a porous medium,  pp 111-124 in Proceedings of the International Conference on Navier-Stokes Equations: Theory and Numerical Methods,  R.Salvi editor, Pitman Research Notes in Mathematics  no. 388,  Addison Wesley Longman, Harlow, 1998.

L. Paoli, M. Schatzman. Theoretical and numerical study for vibrations with unilateral constraints: case of a non-convex set of constraints, in Proceedings of the Fourth World Congress on Computational Mechanics, New Trends and Applications,  S.R.Idelsohn, E.Onate & E.N.Dvorkin editors, CD Rom, 1998.

L. Paoli, M. Schatzman. Moreau's rule and the penalty method, pp 35-44 in Proceedings of IUTAM Symposium on Multibody Contacts, F.G.Peiffer  & Ch.Glocker editors, Kluwer Academic Publisher,  Boston,  1999.

L. Paoli, M. Schatzman. Dynamics of an impacting bar: a model and numerics, in Proceedings of European Conference on Computational Mechanics 1999, W.Wunderlich editor, CD Rom, 1999.

L. Paoli, M. Schatzman. Ill-posedness in vibro-impact and its numerical consequences, in Proceedings of European Congress on COmputational Methods in Applied Sciences and engineering (ECCOMAS),  CD Rom, 2000.

L. Paoli, M. Schatzman.  Understanding impact through continuous medium vibrations, pp 53-64 in Proceedings of Contact Mechanics International Symposium 3 (CMIS 3), Contact Mechanics, no. 103 dans Solid Mechanics and its Applications, J.A.C.Martins & M.D.P.Monteiro-Marques eds, Kluwer Academic Publisher,  Boston,  2002.

L. Paoli. A numerical scheme for impact problems with inelastic shocks: a convergence result in the multi-constraint case, pp 269-274 in Proceedings of the International Conference on Nonsmooth / Nonconvex Mechanics, C.C.Baniotopoulos editor, Editions Ziti, Thessaloniki, 2002.

S. Meliani, G. Panasenko, L. Paoli. Theoretical and numerical study of a multi-scale model for composites,  in Proceedings of Second MIT Conference on Computational Fluid and Solid Mechanics,  K.J.Bathe editor, Elsevier,   2003.

Z. Abdessamad, S. Meliani, G. Panasenko, L. Paoli. Study of a thermo-chemical model of formation of a composite material,  in Proceedings of European Congress on COmputational Methods in Applied Sciences and engineering (ECCOMAS),  CD Rom, 2004.

Y. Dumont, L. Paoli. Vibrations of a beam between stops: convergence and implementation of a fully discretized approximation, in Proceedings of the Eccomas Thematic Conference "Multibody Dynamics 2005", CD Rom, 2005.

Y. Dumont, L. Paoli. Simulations of  beam vibrations between stops: comparison of several  numerical approaches, in Proceedings of the Fifth Euromech Nonlinear Dynamics Conference (ENOC-2005), CD Rom, 2005.

M.D.P. Monteiro Marques, L. Paoli. An existence result in non-smooth dynamics,  in Proceedings of the international  colloquium in honor of the 80th birthday of J.J.Moreau,   Kluwer book series of Advances in Mechanics and Mathematics, P.Alart, O.Maisonneuve & R.T.Rockafellar eds, Springer, 2006.

R. Dzonou, M.D.P. Monteiro Marques, L. Paoli. Sweeping process for impact problem with a general inertia operator, in Proceedings of III European Conference on Computational Mechanics - Solids, Structures and Coupled Problems (ECCM-2006), CD Rom, 2006.

M.D.P. Monteiro Marques, L. Paoli. A velocity-based time-stepping method for frictional dynamics, in Proceedings of III European Conference on Computational Mechanics - Solids, Structures and Coupled Problems (ECCM-2006), CD Rom, 2006.

M.D.P. Monteiro Marques, L. Paoli. A mathematical study of dynamics with friction, pp 323-332 in Proceedings of the II International Conference on Nonsmooth / Nonconvex Mechanics with Applications in Engineering (II.NNMAE),  Editions Ziti, Thessaloniki, 2006.

Livre

L. Paoli.  Best of Deug : Analyse  2ème année, Dunod, Paris, 2002.