Page UMA de Jean-François Mercier
Activités de recherche
Je travaille actuellement sur les deux principaux thèmes de recherche suivants :
- aéroacoustique : propagation du son dans un fluide en écoulement rotationnel
- homogénéisation : propagation de plasmons le long d'une interface structurée, contrôle de la transmission par un réseau
Activités d'enseignement
- Outils élémentaires d'analyse pour les équations aux dérivées partielles. MA102 - TD du cours de Tronc Commun de 1ère Année à l'ENSTA.
- Théorie spectrale des opérateurs auto-adjoints. MAE21 - Cours de 3ème année à l'ENSTA et de master.
- Variable complexe. TD de MA205 - Cours de 2ème année à l'ENSTA.
Publications
Articles (revues avec comité de lecture)
2022
- Efficient evaluation of three-dimensional Helmholtz Green's functions tailored to arbitrary rigid geometries for flow noise simulations
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Journal of Computational Physics, vol. 452, mar, 2022 [
] 
2021
- A stable, unified model for resonant Faraday cages
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Proceedings of the Royal Society A, vol. 477, pp. 2245, 2021 [ ] - Scattering of acoustic waves by a nonlinear resonant bubbly screen
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JFM, vol. 906(A19), 2021 [ ] - Variational Methods for Acoustic Radiation in a Duct with a Shear Flow and an Absorbing Boundary
SIAM Journal on Applied Mathematics, vol. 81.6, pp. 2658-2683, 2021 [ ]
2019
- Enhanced resonance of sparse arrays of Helmholtz resonators—Application to perfect absorption
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Journal of the Acoustical Society of America, vol. 145 (4), pp. 2552-2560, Acoustical Society of America, apr, 2019 [ ] - Perfect Brewster transmission through ultrathin perforated films
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Wave Motion, pp. 102485, 2019 [ ]
2018
- A Sufficient Condition for the Absence of Two-Dimensional Instabilities of an Elastic Plate in a Duct with Compressible Flow
SIAM Journal on Applied Mathematics, vol. 78 (6), pp. 3119-3144, Society for Industrial and Applied Mathematics, nov, 2018 [ ] - Accuracy of a Low Mach Number Model for Time-Harmonic Acoustics
SIAM Journal on Applied Mathematics, vol. 78 (4), pp. 1891 - 1912, Society for Industrial and Applied Mathematics, jul, 2018 [ ] - Modelling resonant arrays of the Helmholtz type in the time domain
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 474 (2210), Royal Society, The, feb, 2018 [ ] - Well-posedness of a generalized time-harmonic transport equation for acoustics in flow
, and
Mathematical Methods in the Applied Sciences, 2018 [ ]
2017
- A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators
and
Wave Motion, vol. 72, pp. 260-275, Elsevier, 2017 [ ] 
- Influence of the neck shape for Helmholtz resonators
, and
Journal of the Acoustical Society of America, vol. 142 (6), pp. 3703 - 3714, Acoustical Society of America, dec, 2017 [ ] - Manipulating light at subwavelength scale by exploiting defect-guided spoof plasmon modes
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Physical Review B, vol. 96, 2017
2016
- Critical investigation of calculation methods for the elastic velocities in anisotropic ice polycrystals
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The Cryosphere, vol. 10, pp. 3063 - 3070, Copernicus, 2016 [ ] - Improved multimodal method for the acoustic propagation in waveguides with a wall impedance and a uniform flow
and
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 472 (2190), Royal Society, The, 2016 [ ]
2015
- Classical homogenization to analyse the dispersion relations of spoof plasmons with geometrical and compositional effects
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 471 (2182), Royal Society, The, 2015 [ ] - Effective birefringence to analyze sound transmission through a layer with subwavelength slits
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Comptes Rendus Mécanique, vol. 343 (12), Elsevier Masson, 2015 [ ] - Generation of acoustic solitary waves in a lattice of Helmholtz resonators
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Wave Motion, vol. 56, pp. 85-99, 2015 [ ] - Improved multimodal method for the acoustic propagation in waveguides with finite wall impedance
, and
Wave Motion, vol. 54, pp. 1-10, 2015 [ ] - Modal method for 2D wave propagation in heterogeneous anisotropic media
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J. Opt. Soc. Am., vol. 32(5), pp. 979-990, 2015 [ ] - Numerical investigation of acoustical solitons
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Proceedings of the Estonian Academy of Sciences, vol. 64(3), pp. 304–310, 2015 [ ] - Tuning the wavelength of spoof plasmons by adjusting the impedance contrast in an array of penetrable inclusions
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Appl. Phys. Lett, vol. 107, pp. 084104, 2015 [ ] - Wave propagation in a waveguide containing restrictions with circular arc shape
, and
J. Acoust. Soc. Am., vol. 137(3), pp. 1274-1281, 2015 [ ]
2014
- Extraordinary transmission through subwavelength dielectric gratings in the microwave range
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Optics Letters, vol. 39(13), pp. 3752, 2014 [ ] - Generalized method for retrieving effective parameters of anisotropic metamaterials
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Optics Express., vol. 22(24), pp. 29977-29953, 2014 [ ] - Improved multimodal method in varying cross section waveguides
, and
Proc. R. Soc. A, vol. 470, 20130448, 2014 [ ] - Local transformation leading to an efficient Fourier modal method for perfectly conducting gratings
, and
J. Opt. Soc. Am., vol. 31(10), pp. 2249-2255, 2014 [ ] - Mathematical modeling of a discontinuous Myers condition
and
Mathematical Modelling and Numerical Analysis, vol. 48(5), pp. 1529-1555, 2014 [ ] - Numerical modeling of nonlinear acoustic waves in a tube connected with Helmholtz resonators
and
Journal of Computational Physics, vol. 259 (15), pp. 421-443, Elsevier, 2014 [ ] - Propagation in waveguides with varying cross-section and curvature: A new light on the role of supplementary modes in multimodal methods
, and
Proc. R. Soc. A, vol. 470, pp. 20130743, 2014 [ ] - Wave propagation through penetrable scatterers in a waveguide and through a penetrable gratings
, and
J. Acoust. Soc. Am., vol. 135(1), 2014 [ ] - Wood's anomalies for arrays of dielectric scatterers
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J. Europ. Opt. Soc. Rep. Public., vol. 9, 14001, 2014 [ ]
2013
- Acoustic propagation in non uniform waveguide: revisiting Webster equation using evanescent boundary modes
and
Proc. R. Soc. A, vol. 469(2156), 2013 [ ] - Enhanced transmission through gratings: Structural and geometrical effects
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Physical Review B, vol. 88, pp. 115416, oct, 2013 [ ] - On the numerical computation of Nonlinear Normal Modes for reduced-order modelling of conservative vibratory systems
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Mechanical Systems and Signal Processing, vol. 36(2), pp. 520-539, apr, 2013
2012
- Propagation of guided waves through weak penetrable scatterers
and
J. Acoust. Soc. Am., vol. 131(3), pp. 1874-1889, mar, 2012 [ ] - Time-Harmonic Acoustic Scattering in a Complex Flow: a Full Coupling Between Acoustics and Hydrodynamics
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Communications in Computational Physics, vol. 11(2), pp. 555-572, feb, 2012 [ ] - Usual Anderson localization restored in bilayered left- and right-handed structures
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Phys. Rev. B, vol. 85, may, 2012 [ ]
2011
- Non-reflecting boundary conditions for acoustic propagation in ducts with acoustic treatment and mean flow
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Int. J. Numer. Methods Eng., vol. 86(11), pp. 13601378, jan, 2011 [ ]
2010
- A low Mach model for time harmonic acoustics in arbitrary flows
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Journal of Computational and Applied Mathematics, vol. 234(6), pp. 1868-1875, 2010 [ ] - Finite Element Simulations of Multiple Scattering in Acoustic Waveguides
and
Waves in Random and Complex Media, vol. 20(4), pp. 615633, 2010 [ ] 
2009
- Resonances of an elastic plate coupled with a compressible confined flow.
and
Quarterly Journal of Mechanics and Applied Mathematics, vol. 62(2), pp. 105-129, 2009 [ ]
2007
- Acoustic propagation in a flow: numerical simulation of the time-harmonic regime.
, and
ESAIM: proceedings, vol. 22, pp. 1-14, 2007 - Resonances of an elastic plate in a compressible confined fluid
and
Quarterly Journal of Mechanics and Applied Mathematics, vol. 60(4), pp. 397-421, 2007 [ ] - Time-harmonic acoustic propagation in the presence of a shear flow
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J. Comput. Appl. Math, vol. 204(2), pp. 428-439, 2007 [ ]
2005
- Diffraction of an acoustic wave by a plate in a uniform flow : a numerical approach
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Journal of Computational Acoustics, vol. 13 (4), pp. 689-709, 2005 [ ]
2004
- Elastic wave propagation through a random array of dislocations
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Physical Review B, vol. 70, pp. 024303, 2004 [ ] - Scattering of an elastic wave by a single dislocation
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Acoustical Society of America Journal, vol. 115(6), pp. 2773-2780, 2004 [ ]
2002
- Derivation of semiconductor laser mean-field and Swift-Hohenberg equations
and
Physical Review E, vol. 66, pp. 036221, 2002 - Heat transfer associated to natural convection flow in a partly porous cavity
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Journal of heat transfer, vol. 124(1), pp. 130-143, 2002 - Influence of the Prandtl number on the location of recirculation eddies in thermocapillary flows
and
International Journal of Heat and Mass Transfer, vol. 45(4), pp. 793-801, 2002
1999
- Flow driven by a hot wire immersed in a horizontal liquid layer
and
International Journal of Heat and Mass Transfer, vol. 42(1), pp. 95-110, jan, 1999
1996
- Buoyant-thermocapillary instabilities of differentially heated liquid layers
and
Phys. Fluids, vol. 8, pp. 1433-1445, 1996
Conférences internationales avec actes
2011
- Galbrun based numerical scheme to compute time-harmonic scattering in an arbitrary mean flow
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17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference), American Institute of Aeronautics and Astronautics, 2011 - Time harmonic acoustic scattering in presence of a shear flow and a Myers impedance condition
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17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference), American Institute of Aeronautics and Astronautics, 2011 [ ]
2007
- Finite element simulation of time-harmonic aeroacoustics in a shear flow
, and
Proceeding of the 13th AIAA/CEAS Aeroacoustics Conference, 13th AIAA/CEAS Aeroacoustics Conference, may, 2007 [ ] - Finite element simulation of time-harmonic aeroacoustics with a generalized impedance boundary condition
and
Proceeding of the 13th AIAA/CEAS Aeroacoustics Conference, 13th AIAA/CEAS Aeroacoustics Conference, may, 2007
2003
- Resonances of an Elastic Plate in a Confined Flow
and
Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, Springer, 2003
2002
- Résonances d'une plaque élastique dans un conduit en présence d'écoulement
et
AMRTMA (Acoustics, Mechanics, and the Related Topics of Mathematical Analysis), World Scientific, 2002
Conférences sans actes
2012
- Time-harmonic acoustic scattering in a complex flow
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Acoustics 2012, Nantes, apr, 2012 [ ]
2011
- Time harmonic acoustic scattering in presence of a shear flow and an impedance boundary condition
, and
10th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'11), Vancouver, jul, 2011 [ ]
2010
- Opérateur DtN pour les guides cylindriques à paroi traitée en présence dun écoulement uniforme
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10ème Congrès de la Société Française d'Acoustique, apr, 2010 - Simulations numériques de la multidiffusion acoustique en conduit, comparaison avec des modèles analytiques
and
10ème Congrès de la Société Française d'Acoustique, apr, 2010 [ ]
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 - Time-harmonic acoustic scattering in a complex flow : a full coupling between acoustics and hydrodynamics.
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9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau, jun, 2009
2008
- A finite element method for time harmonic acoustics in arbitrary flows.
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Acoustics'08, Paris, jul, 2008
2007
- A low Mach model for time harmonic acoustics in arbitrary flows
, , and
8th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'07), Reading, jul, 2007 - Condition aux limites transparente pour la propagation acoustique dans un guide recouvert dun matériau absorbant en présence dun écoulement uniforme
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18ème Congrès Français de Mécanique Grenoble, aug, 2007
2006
- Simulation de la propagation acoustique dans un guide bidimensionnel recouvert dun matériau absorbant en présence dun écoulement
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8ème Congrès de la Société Française d'Acoustique, apr, 2006 - Simulation numérique de la propagation d'onde en présence d'un écoulement uniforme et d'une paroi traitée
et
8ème Congrès de la Société Française d'Acoustique, 2006 - Simulation numérique par éléments finis d'une multi-diffusion acoustique
and
8ème Congrès de la Société Française d'Acoustique, 2006
2005
- Generalized impedance boundary conditions in acoustics with flow
and
Waves 2005, Providence, USA, 2005 - Influence of the coupling of an elastic plate with a confined flow on resonances
and
7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05), Providence, jun, 2005 - Numerical simulation of acoustic propagation in a shear flow in the frequency domain
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7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05), Providence, jun, 2005 - Simulation numérique du rayonnement d'ondes acoustiques dans un écoulement cisaillé en régime périodique établi.
, et
Journées d'Etudes sur la Propagation Acoustique en Ecoulement, Angers, 2005
2003
- Diffraction acoustique par une plaque : comportement singulier pour des petits nombres de Mach
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3 ème Journées sur l'acoustique de Galbrun, La Rochelle, 2003 - Diffusion d'ondes élastiques par une dislocation
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XVI ème Congrès Français de Mécanique, 2003 - Propagation d'onde à travers des dislocations
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Deuxième journée du GDR-US, Aussois, 2003 - Resonances of an elastic plate in a confined flow
and
Waves 2003, The sixth international conference on mathematical and numerical aspects of wave propagation, 2003
2002
- Resonances of an elastic plate in a duct, in the presence of a uniform flow
and
AMRTMA (Acoustics, Mechanics, and the Related Topics of Mathematical Analysis) conference, Fréjus, 2002 - Résonances acoustiques d'une plaque élastique dans un conduit en présence d'un écoulement
and
6 ème Congrès de la Société Française d'Acoustique, 2002 - Theoretical study of the multiple scattering by a random distribution of dislocations in an elastic medium
, and
Forum Acusticum Sevilla 2002, 2002
2001
- Acoustique en écoulement, diffraction par une plaque
et
Séminaire du LAUM, Univ. Le Mans, France, 2001 - Diffraction of an acoustic wave by a plate in a uniform flow: a numerical approach
, and
17th International Congress on Acoustic, Rome, 2001 - Diffraction par une plaque en présence d'un écoulement uniforme
, , et
Journées Galbrun, Arcachon, France, 2001
Thèse d'Habilitation
2014
Cours
2005
- Ondes dans les milieux continus
et
ENSTA, 2005