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Activités de recherche
oui
Publications
Chapitre
2002
- Surface water waves
and
Scattering Scattering and Inverse scattering in Pure and Applied Science, pp. 618-636, Eds. Pike&Sabatier, Academic Press, pp. 618-636, 2002
Articles
2009
- Diffraction by a defect in an open waveguide : a mathematical analysis based on a modal radiation condition.
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SIAM J. Appl. Math., vol. 70, No. 3, pp. 677-693, jul, 2009 [
]
2008
- An improved multimodal approach for non uniform acoustic waveguides
and
IMA Journal of Applied Math., vol. 73 (4), pp. 668--690, 2008
2007
- Numerical simulation of time-harmonic reversal mirrors for acoustic waves
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SIAM J. Appl. Math., vol. 67, pp. 777-791, 2007 - Generalized eigenfunction expansions for conservative scattering problems with an application to water waves
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Proceedings of the Royal Society of Edinburg,, vol. 137A, pp. 995--1035, 2007 - The Singularity Expansion Method applied to the transient motions of a floating elastic plate
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Mathematical Modelling and Numerical Analysis, vol. 41, pp. 925--943, 2007 - Spectral theory for a two-dimensional elastic thin plate floating on water of finite depth
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SIAM J. Appl. Math., vol. 68(3), pp. 629-647, dec, 2007
2004
- Selective acoustic focusing using time-harmonic reversal mirrors
and
SIAM J. Appl. Math., vol. 64, pp. 1057-1076, 2004
2002
- Numerical simulation of corner singularities: a paradox in Maxwell-like problems (review paper)
C.R. Mécanique, vol. 330, pp. 57-68, 2002 - A singular field method for Maxwell's equations: numerical aspects in two dimensions
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SIAM J. Numer. Anal., vol. 40, pp. 1021-1040, 2002
1999
- A singular field method for the solution of Maxwell's equations
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SIAM Journal on Applied Mathematics, vol. 59(6), pp. 2028-2044, 1999
1998
- Les équations de Maxwell dans un polyèdre : un résultat de densité
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C. R. Acad. Sci. Paris, Ser. I, vol. 326, pp. 1305-1310, 1998
Actes
2010
- A multimodal method for non-uniform open waveguides
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Physics Procedia, vol. 3(1), pp. 497-503, International Congress on Ultrasonics, Universidad de Santiago de Chile, 2010
2009
- Finite element computation of leaky modes in stratified waveguides
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Ultrasonic Wave Propagation in Non Homogeneous Media, Springer, 2009
2003
- Generalized eigenfunction expansions; an application to linear water waves
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Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, 2003 - Global and selective focusing using time reversal mirrors in the frequency domain
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Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, 2003
Conférences
2009
- A modal radiation condition for scattering in open waveguides
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9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau, jun, 2009 - A multimodal method for non-uniform open waveguides
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International Congress on Ultrasonics, Santiago, Chile, jan, 2009 - Dirichlet-to-Neumann operators for an acoustic waveguide with a uniform flow and an impedance boundary condition
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9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau, jun, 2009 - Leaky modes in an open waveguide
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9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau, jun, 2009
2008
- Finite element computation of leaky modes in stratified waveguides
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5èmes journées du GDR "Etude de la propagation ultrasonore en vue du contrôle non destructif", Anglet, june, 2008
2007
- Numerical study of time reversal in a 2D waveguide
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8th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'07), Reading, jul, 2007 - Diffraction par un défaut dans un guide ouvert
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TAMTAM (Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc), Alger, 2007
2006
- Computing resonances for large time simulation of scattering phenomena
MAFELAP 2006, jun, 2006 - An enhanced multimodal method for non uniform waveguides
and
Mathmondes 2 (journées franco-britaniques), jun, 2006
2005
- Modélisation mathématique d'un miroir à retournement temporel
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TAMTAM'05 (Tendances dans les Applications Mathématiques - Tunisie, Algérie, Maroc), Tunis, 2005 - Retournement temporel dans un guide d'ondes, étude théorique et numérique
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Premier Congrès International de Conception et Modélisation des Systèmes Mécaniques, Hammamet, Tunisie, 2005 - Mathematical and numerical study of a time reversal mirror
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Seventh International Conference on Mathematical and Numerical Aspects of Wave Propagation, Providence, USA, 2005 - Décomposition en modes résonnants pour le problème de tenue à la mer, application numérique
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10èmes Journées de l'Hydrodynamique, Poitiers, 2005 - The Singularity Expansion Method applied to a transient fluid-structure interaction problem
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Seventh International Conference on Mathematical and Numerical Aspects of Wave Propagation, Providence, USA, 2005 - Décomposition en modes résonnants pour le problème de tenue à la mer, application numérique
et
10èmes Journées de l'Hydrodynamique, Poitiers, 2005
2004
- Multimodal Methods and some Applications
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Journée franco-anglaise MathMondes, Paris, France, 2004
2003
- Décomposition en modes résonnants pour le problème de tenue à la mer
et
9èmes Journées de l'Hydrodynamique, Poitiers, 2003
2002
- Spectral theory for a floating massless thin plate on water of arbitrary depth
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10th International Offshore and Polar Engineering Conference, Kitakyushu, Japan, 2002 - Multimodal Approach and Optimum Design in Non Uniform Waveguides
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JEE'02 Symposium, Toulouse, France, 2002
Rapport de recherche
2009
- A distribution framework for the generalized Fourier transform associated with a Sturm-Liouville operator
Rapport de Recherche INRIA N° 6885, mar, 2009
Cours
1997
- Méthodes Numériques pour les Equations aux Dérivées Partielles
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Cours ENSTA, 1997