UMA Home page for Christophe Hazard
Researcher
Resp. bibliothèque de l'UMA
Chargé de Recherche
Resp. bibliothèque de l'UMA
Chargé de Recherche
Research Habilitation 2001
Ph.D. 1991
EMAIL_TEMPLATE
Research activities (sorry, only french text)
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Publications
Papers in peer-reviewed journals
2023
- Scattering in a partially open waveguide: the forward problem
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IMA Journal of Applied Maths, feb, 2023 [
] 
2022
- Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance
, and
Communication in Partial Differential Equations, vol. 47 (6), pp. 1217-1295, 2022 
- The Complex-Scaled Half-Space Matching Method
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SIAM Mathematical Analysis, vol. 54, pp. 512-557, jan, 2022
2021
- Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners
, and
Journal of Computational Physics, vol. 440, pp. 110433, 2021
2020
- On well-posedness of scattering problems in a Kirchhoff-Love infinite plate
and
SIAM Journal of Applied Maths, vol. 80-3, pp. 1546-1566, jun, 2020 [ ] - Spectral analysis of polygonal cavities containing a negative-index material
and
Annales Henri Lebesgue, vol. 3, pp. 1161-1193, nov, 2020 [ ]
2017
- Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform.
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Commun. Part. Diff. Eq., vol. 42 (11), pp. 1707-1748, 2017
2016
- A Rellich type theorem for the Helmholtz equation in a conical domain
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C. R. Acad. Sci. Paris, Ser. I, vol. 354, pp. 27-32, 2016
2015
- Numerical modeling of three-dimensional open elastic waveguides combining semi-analytical finite element and perfectly matched layer methods
, and
Journal of Sound and Vibration, vol. 344, pp. 158-178, 2015 - On the absence of trapped modes in locally perturbed open waveguides
IMA Journal of Applied Mathematics, vol. 80, pp. 1049-1062, 2015
2014
- Finite element computation of trapped and leaky elastic waves in open stratified waveguides
, , and
Wave Motion, vol. 51, pp. 1093-1107, 2014 [ ] - Space-time focusing of acoustic waves on unknown scatterers
and
Wave Motion, vol. 51, pp. 1254-1272, 2014
2013
- Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: mathematical justification of the Foldy--Lax model
and
Wave Motion, vol. 50, pp. 18-28, 2013 [ ]
2011
- Mathematical analysis of the junction of two acoustic open waveguides
, and
SIAM J. Appl. Math., vol. 71, pp. 2048-2071, 2011 [ ] - Time reversal and scattering theory for time-dependent acoustic waves in a homogeneous medium
and
IMA Journal of Applied Mathematics, vol. 76, pp. 938-955, 2011
2009
- Diffraction by a defect in an open waveguide : a mathematical analysis based on a modal radiation condition.
, , and
SIAM J. Appl. Math., vol. 70 (3), pp. 677-693, 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
- Generalized eigenfunction expansions for conservative scattering problems with an application to water waves
and
Proceedings of the Royal Society of Edinburg,, vol. 137 (5), pp. 995--1035, oct, 2007 - Numerical Simulation of Acoustic Time Reversal Mirrors
, , and
SIAM Journal on Applied Mathematics, vol. 67(3), pp. 777-791, 2007 - Spectral theory for an elastic thin plate floating on water of finite depth
and
SIAM J. Appl. Math., vol. 68(3), pp. 629-647, dec, 2007 - The Singularity Expansion Method applied to the transient motions of a floating elastic plate
and
Mathematical Modelling and Numerical Analysis, vol. 41 (5), pp. 925--943, 2007
2004
- Acoustic focusing using time reversal in the frequency domain
and
SIAM J. Appl. Math., vol. 64 (3), pp. 1057-1076, 2004
2002
- A singular field method for Maxwell's equations: numerical aspects for 2D magnetostatics
and
SIAM J. Numer. Anal., vol. 40 (3), pp. 1021-1040, 2002 - Numerical simulation of corner singularities: a paradox in Maxwell-like problems
Comptes Rendus Mécanique, vol. 330(1), pp. 57-68, 2002
2000
- Perturbation of low-frequency underwater acoustics by gravity waves
, and
Journal of Fluid Mechanics, vol. 411, pp. 305-324, 2000
1999
- A singular field method for the solution of Maxwell's equations
, and
SIAM Journal on Applied Mathematics, vol. 59(6), pp. 2028-2044, 1999
1998
- Existence, uniqueness and analyticity properties for electromagnetic scattering in a two-layered medium
and
Mathematical Methods in the Applied Sciences, vol. 21, pp. 433-461, 1998 - Les équations de Maxwell dans un polyèdre : un résultat de densité
, et
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 326(11), pp. 1305-1310, 1998
1996
- On the solution of time-harmonic scattering problems for Maxwell's equations
and
SIAM Journal on Mathematical Analysis, vol. 27, pp. 1597-1630, 1996
1993
- Determination of scattering frequencies for an elastic floating body
and
SIAM Journal on Mathematical Analysis, vol. 24, pp. 1458-1514, 1993 [ ]
1992
- Variational formulations for the determination of resonant states in scattering problems
, and
SIAM Journal on Mathematical Analysis, vol. 23, pp. 579-608, 1992
Books
2020
- La méthode des éléments finis : de la théorie à la pratique. Tome 2 : Compléments
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pp. 284, mar 2020
2010
- La Méthode des Eléments Finis. De la Théorie à la Pratique. II. Compléments
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Coll. Les Cours, Les Presses de l'ENSTA, 288 pages, nov 2010
Chapter
2002
- Surface water waves
and
Scattering Scattering and Inverse scattering in Pure and Applied Science, pp. 618-636, Eds. Pike&Sabatier, Academic Press, 2002
International conferences with proceedings
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
and
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
and
Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, 2003
Conferences without proceedings
2019
- Computation of plasmon resonances localized at corners using frequency-dependent complex scaling
, and
Waves 2019, Vienna, 2019 - Essential spectrum generated by a negative material described by the Lorentz model
and
Waves 2019, Vienna, 2019 - Numerical study of the spectrum of cavities containing a negative-index material
and
Waves 2019, Vienna, 2019 - On well-posedness of scattering problems in a Kirchhoff-Love infinite plate
and
Waves Conference, Vienna, 25-29/08/2019, aug, 2019
2017
- Spectral analysis of cavities partially filled with a negative-index material
and
Waves 2017, Minneapolis, 2017
2016
- Absence of trapped modes for a Y-shaped junction of open waveguides
New Trends in Theoretical and Numerical Analysis of Waveguides, Porquerolles, France, 2016
2015
- Absence of trapped modes for a class of unbounded propagative media
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Waves 2015, Karlsruhe, Allemagne, 2015 - Limiting amplitude principle for a two-layered medium composed of a dielectric material and a metamaterial
, and
Waves 2015, Karlsruhe, Allemagne, 2015
2013
- Computation of leaky modes in three-dimensional open elastic waveguide
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Waves 2013, Tunis, jun, 2013 - Selective focusing for time dependent waves
, and
Workshop: Computational Electromagnetism and Acoustics, Oberwolfach, Germany, jan, 2013 - Selective focusing for time-dependent waves
, and
Workshop: Inverse Problems and Imaging, Institut Henri Poincarré, Paris, France, feb, 2013 - Selective focusing on unknown scatterers
, and
Waves conference, Tunis, Tunisia, may, 2013 - Space-time focusing for acoustic waves
, and
Novel Direction in Inverse Scattering, honoring D. Colton, Newark, Delaware, USA, poster (soon), jul, 2013 - Space-time focusing on unknown obstacles
, and
International conference in applied mathematics, Heraklion, Greece, sep, 2013
2012
- About trapped modes in open waveguides
MATHmONDES 2012, Reading, jul, 2012 - Can trapped mode occur in open waveguides?
Wave propagation in complex media and applications, Heraklion, Greece, 2012 [ ] - On the use of a SAFE-PML technique for modeling two-dimensional open elastic waveguides
, , and
Acoustics 2012, Nantes, 2012 [ ] - Space-time focusing on unknown scatterers
, and
Workshop : Wave propagation in complex media and applications, Heraklion, Greece, poster, may, 2012 - Using time reversal for space-time focusing of acoustic waves
, and
Workshop: journées de Metz 2012: Recent Advances in Modeling, Analysis and Simulation of Wave Propagation, Metz, France, mar, 2012
2011
- A uniqueness property for the scattering by a junction of open waveguides
, and
10th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vancouver, 2011 - Multiple acoustic scattering by small obstacles in two dimensions
and
10th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vancouver, jul, 2011 [ ] - Using time reversal for space--time focusing of acoustic waves
, and
5ème Colloque sur les Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc (TAMTAM), Sousse, Tunisie, apr, 2011 [ ]
2009
- A modal radiation condition for scattering in open waveguides
, , and
9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau, jun, 2009 - A multimodal method for non-uniform open waveguides
, , and
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
, , and
9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau, jun, 2009 - Leaky modes in an open waveguide
, , and
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
, , and
5èmes journées du GDR "Etude de la propagation ultrasonore en vue du contrôle non destructif", Anglet, june, 2008
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 - 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
2006
- An enhanced multimodal method for non uniform waveguides
and
Mathmondes 2 (journées franco-britaniques), jun, 2006 - Computing resonances for large time simulation of scattering phenomena
MAFELAP 2006, jun, 2006
2005
- Décomposition en modes résonnants pour le problème de tenue à la mer, application numérique
and
10èmes Journées de l'Hydrodynamique, Poitiers, 2005 - Décomposition en modes résonnants pour le problème de tenue à la mer, application numérique
et
10èmes Journées de l'Hydrodynamique, Poitiers, 2005 - Mathematical and numerical study of a time reversal mirror
, , and
Seventh International Conference on Mathematical and Numerical Aspects of Wave Propagation, Providence, USA, 2005 - Modélisation mathématique d'un miroir à retournement temporel
, , and
TAMTAM'05 (Tendances dans les Applications Mathématiques - Tunisie, Algérie, Maroc), Tunis, 2005 - Retournement temporel dans un guide d'ondes, étude théorique et numérique
, , et
Premier Congrès International de Conception et Modélisation des Systèmes Mécaniques, Hammamet, Tunisie, 2005 - The Singularity Expansion Method applied to a transient fluid-structure interaction problem
and
Seventh International Conference on Mathematical and Numerical Aspects of Wave Propagation, Providence, USA, 2005
2004
- Multimodal Methods and some Applications
and
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
- Multimodal Approach and Optimum Design in Non Uniform Waveguides
and
JEE'02 Symposium, Toulouse, France, 2002 - Spectral theory for a floating massless thin plate on water of arbitrary depth
and
10th International Offshore and Polar Engineering Conference, Kitakyushu, Japan, 2002
Seminar
2013
- Selective focusing for time-dependent waves
, and
Poems Seminar, Palaiseau, France, jan, 2013
Research report
2009
- A distribution framework for the generalized Fourier transform associated with a Sturm-Liouville operator
Rapport de Recherche INRIA N° 6885, mar, 2009
Lecture note
1997
- Méthodes Numériques pour les Equations aux Dérivées Partielles
, et
Cours ENSTA, 1997