Page de Christophe Hazard

Christophe
Hazard 		Chercheur
Resp. bibliothèque de l'UMA
Chargé de Recherche
H.D.R. depuis 2001
thèse soutenue en 1991

ENSTA UMA
bureau 2.2.24
Tél : (0) 18 187 2091

Recherches

oui

Articles (revue avec comité de lecture)

L. Bourgeois, S. Fliss, J.-F. Fritsch, C. Hazard, A. Recoquillay
Scattering in a partially open waveguide: the forward problem (2023)
IMA Journal of Applied Maths images/icons/doctype_pdf.gif
A.-S. Bonnet-BenDhia, S. Chandler-Wilde, S. Fliss, C. Hazard, K.-M. Perfekt, Y. Tjandrawidjaja
The Complex-Scaled Half-Space Matching Method (2022)
SIAM Mathematical Analysis - vol. 54 (pp 512-557 ) 
M. Cassier, C. Hazard, P. Joly
Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance (2022)
Communication in Partial Differential Equations - vol. 47 (6) (pp 1217-1295 ) 
A.-S. Bonnet-BenDhia, C. Hazard, F. Monteghetti
Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners (2021)
Journal of Computational Physics - vol. 440 (pp 110433 ) 
C. Hazard, S. Paolantoni
Spectral analysis of polygonal cavities containing a negative-index material (2020)
Annales Henri Lebesgue - vol. 3 (pp 1161-1193 ) images/icons/doctype_pdf.gif
L. Bourgeois, C. Hazard
On well-posedness of scattering problems in a Kirchhoff-Love infinite plate (2020)
SIAM Journal of Applied Maths - vol. 80-3 (pp 1546-1566 ) images/icons/doctype_pdf.gif
M. Cassier, C. Hazard, P. Joly
Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform. (2017)
Commun. Part. Diff. Eq. - vol. 42 (11) (pp 1707-1748 ) 
A.-S. Bonnet-BenDhia, S. Fliss, C. Hazard, A. Tonnoir
A Rellich type theorem for the Helmholtz equation in a conical domain (2016)
C. R. Acad. Sci. Paris, Ser. I - vol. 354 (pp 27-32 ) 
C. Hazard
On the absence of trapped modes in locally perturbed open waveguides (2015)
IMA Journal of Applied Mathematics - vol. 80 (pp 1049-1062 ) 
K. Nguyen, F. Treyssède, C. Hazard
Numerical modeling of three-dimensional open elastic waveguides combining semi-analytical finite element and perfectly matched layer methods (2015)
Journal of Sound and Vibration - vol. 344 (pp 158-178 ) 
F. Treyssède, K. Nguyen, A.-S. Bonnet-BenDhia, C. Hazard
Finite element computation of trapped and leaky elastic waves in open stratified waveguides (2014)
Wave Motion - vol. 51 (pp 1093-1107 ) images/icons/doctype_pdf.gif
M. Cassier, C. Hazard
Space-time focusing of acoustic waves on unknown scatterers (2014)
Wave Motion - vol. 51 (pp 1254-1272 ) 
M. Cassier, C. Hazard
Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: mathematical justification of the Foldy--Lax model (2013)
Wave Motion - vol. 50 (pp 18-28 ) images/icons/doctype_pdf.gif
C. Ben Amar, C. Hazard
Time reversal and scattering theory for time-dependent acoustic waves in a homogeneous medium (2011)
IMA Journal of Applied Mathematics - vol. 76 (pp 938-955 ) 
A.-S. Bonnet-BenDhia, B. Goursaud, C. Hazard
Mathematical analysis of the junction of two acoustic open waveguides (2011)
SIAM J. Appl. Math. - vol. 71 (pp 2048-2071 ) images/icons/doctype_pdf.gif
A.-S. Bonnet-BenDhia, L. Chorfi, G. Dakhia, C. Hazard
Diffraction by a defect in an open waveguide : a mathematical analysis based on a modal radiation condition. (2009)
SIAM J. Appl. Math. - vol. 70 (3) (pp 677-693 ) 
C. Hazard, E. Lunéville
An improved multimodal approach for non uniform acoustic waveguides (2008)
IMA Journal of Applied Math. - vol. 73 (4) (pp 668--690 ) 
C. Hazard, F. Loret
Generalized eigenfunction expansions for conservative scattering problems with an application to water waves (2007)
Proceedings of the Royal Society of Edinburg, - vol. 137 (5) (pp 995--1035 ) 
C. Ben Amar, N. Gmati, C. Hazard, K. Ramdani
Numerical Simulation of Acoustic Time Reversal Mirrors (2007)
SIAM Journal on Applied Mathematics - vol. 67(3) (pp 777-791 ) 
C. Hazard, F. Loret
The Singularity Expansion Method applied to the transient motions of a floating elastic plate (2007)
Mathematical Modelling and Numerical Analysis - vol. 41 (5) (pp 925--943 ) 
C. Hazard, M. Meylan
Spectral theory for an elastic thin plate floating on water of finite depth (2007)
SIAM J. Appl. Math. - vol. 68(3) (pp 629-647 ) 
C. Hazard, K. Ramdani
Acoustic focusing using time reversal in the frequency domain (2004)
SIAM J. Appl. Math. - vol. 64 (3) (pp 1057-1076 ) 
C. Hazard
Numerical simulation of corner singularities: a paradox in Maxwell-like problems (2002)
Comptes Rendus Mécanique - vol. 330(1) (pp 57-68 ) 
C. Hazard, S. Lohrengel
A singular field method for Maxwell's equations: numerical aspects for 2D magnetostatics (2002)
SIAM J. Numer. Anal. - vol. 40 (3) (pp 1021-1040 ) 
I. Champy-Doutreleau, D. Euvrard, C. Hazard
Perturbation of low-frequency underwater acoustics by gravity waves (2000)
Journal of Fluid Mechanics - vol. 411 (pp 305-324 ) 
A.-S. Bonnet-BenDhia, C. Hazard, S. Lohrengel
A singular field method for the solution of Maxwell's equations (1999)
SIAM Journal on Applied Mathematics - vol. 59(6) (pp 2028-2044 ) 
P. Ciarlet, C. Hazard, S. Lohrengel
Les équations de Maxwell dans un polyèdre : un résultat de densité (1998)
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics - vol. 326(11) (pp 1305-1310 ) 
C. Hazard, P.-M. Cutzach
Existence, uniqueness and analyticity properties for electromagnetic scattering in a two-layered medium (1998)
Mathematical Methods in the Applied Sciences - vol. 21 (pp 433-461 ) 
C. Hazard, M. Lenoir
On the solution of time-harmonic scattering problems for Maxwell's equations (1996)
SIAM Journal on Mathematical Analysis - vol. 27 (pp 1597-1630 ) 
C. Hazard, M. Lenoir
Determination of scattering frequencies for an elastic floating body (1993)
SIAM Journal on Mathematical Analysis - vol. 24 (pp 1458-1514 ) images/icons/doctype_pdf.gif
M. Lenoir, M. Vullierme-Ledard, C. Hazard
Variational formulations for the determination of resonant states in scattering problems (1992)
SIAM Journal on Mathematical Analysis - vol. 23 (pp 579-608 ) 

Livre

É. Bécache, P. Ciarlet, C. Hazard, E. Lunéville
La méthode des éléments finis : de la théorie à la pratique. Tome 2 : Compléments (2020)
 
É. Bécache, P. Ciarlet, C. Hazard, E. Lunéville
La Méthode des Eléments Finis. De la Théorie à la Pratique. II. Compléments (2010)
Coll. Les Cours, Les Presses de l'ENSTA, 288 pages 

Chapitre

C. Hazard, M. Lenoir
Surface water waves (2002)
Scattering Scattering and Inverse scattering in Pure and Applied Science - Eds. Pike&Sabatier, Academic Press (pp 618-636 ) 

Conférences internationales avec actes

A.-S. Bonnet-BenDhia, B. Goursaud, C. Hazard, A. Prieto
A multimodal method for non-uniform open waveguides (2010)
Physics Procedia - vol. 3(1) (pp 497-503 ) 
A.-S. Bonnet-BenDhia, B. Goursaud, C. Hazard, A. Prieto
Finite element computation of leaky modes in stratified waveguides (2009)
- Springer 
C. Hazard, F. Loret
Generalized eigenfunction expansions; an application to linear water waves (2003)
 
C. Hazard, K. Ramdani
Global and selective focusing using time reversal mirrors in the frequency domain (2003)
 

Conférences sans actes

L. Bourgeois, S. Fliss, Fritsch Jean-François, C. Hazard, A. Recoquillay
Scattering in a partially open waveguide: the forward problem (2022)
Waves conference - Palaiseau - 25/29-7-2022 
L. Bourgeois, C. Hazard
Scattering in a Kirschhoff-Love infinite plate: forward and inverse problems (2021)
Quasilinear Equations, Inverse Problems ans their Applications - Sotchi - 23/29-08-2021 
L. Bourgeois, C. Hazard
On well-posedness of scattering problems in a Kirchhoff-Love infinite plate (2019)
Waves Conference, Vienna, 25-29/08/2019 
A.-S. Bonnet-BenDhia, C. Hazard, F. Monteghetti
Computation of plasmon resonances localized at corners using frequency-dependent complex scaling (2019)
Waves 2019, Vienna 
C. Hazard, S. Paolantoni
Essential spectrum generated by a negative material described by the Lorentz model (2019)
Waves 2019, Vienna 
C. Hazard, S. Paolantoni
Numerical study of the spectrum of cavities containing a negative-index material (2019)
Waves 2019, Vienna 
C. Hazard, S. Paolantoni
Spectral analysis of cavities partially filled with a negative-index material (2017)
Waves 2017, Minneapolis 
C. Hazard
Absence of trapped modes for a Y-shaped junction of open waveguides (2016)
New Trends in Theoretical and Numerical Analysis of Waveguides, Porquerolles, France 
A.-S. Bonnet-BenDhia, S. Fliss, C. Hazard, A. Tonnoir
Absence of trapped modes for a class of unbounded propagative media (2015)
Waves 2015, Karlsruhe, Allemagne 
M. Cassier, C. Hazard, P. Joly
Limiting amplitude principle for a two-layered medium composed of a dielectric material and a metamaterial (2015)
Waves 2015, Karlsruhe, Allemagne 
M. Cassier, C. Hazard, P. Joly
Selective focusing for time dependent waves (2013)
Workshop: Computational Electromagnetism and Acoustics, Oberwolfach, Germany 
M. Cassier, C. Hazard, P. Joly
Selective focusing for time-dependent waves (2013)
Workshop: Inverse Problems and Imaging, Institut Henri Poincarré, Paris, France 
M. Cassier, C. Hazard, P. Joly
Selective focusing on unknown scatterers (2013)
Waves conference, Tunis, Tunisia 
M. Cassier, C. Hazard, P. Joly
Space-time focusing for acoustic waves (2013)
Novel Direction in Inverse Scattering, honoring D. Colton, Newark, Delaware, USA, poster (soon) 
A.-S. Bonnet-BenDhia, C. Hazard, K. Nguyen, F. Treyssède
Computation of leaky modes in three-dimensional open elastic waveguide (2013)
Waves 2013, Tunis 
M. Cassier, C. Hazard, P. Joly
Space-time focusing on unknown obstacles (2013)
International conference in applied mathematics, Heraklion, Greece 
F. Treyssède, K. Nguyen, A.-S. Bonnet-BenDhia, C. Hazard
On the use of a SAFE-PML technique for modeling two-dimensional open elastic waveguides (2012)
Acoustics 2012, Nantes images/icons/doctype_pdf.gif
C. Hazard
Can trapped mode occur in open waveguides? (2012)
Wave propagation in complex media and applications, Heraklion, Greece images/icons/doctype_pdf.gif
C. Hazard
About trapped modes in open waveguides (2012)
MATHmONDES 2012, Reading 
M. Cassier, C. Hazard, P. Joly
Using time reversal for space-time focusing of acoustic waves (2012)
Workshop: journées de Metz 2012: Recent Advances in Modeling, Analysis and Simulation of Wave Propagation, Metz, France 
M. Cassier, C. Hazard, P. Joly
Space-time focusing on unknown scatterers (2012)
Workshop : Wave propagation in complex media and applications, Heraklion, Greece, poster 
A.-S. Bonnet-BenDhia, B. Goursaud, C. Hazard
A uniqueness property for the scattering by a junction of open waveguides (2011)
10th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vancouver 
M. Cassier, C. Hazard
Multiple acoustic scattering by small obstacles in two dimensions (2011)
10th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vancouver images/icons/doctype_pdf.gif
M. Cassier, C. Hazard, P. Joly
Using time reversal for space--time focusing of acoustic waves (2011)
5ème Colloque sur les Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc (TAMTAM), Sousse, Tunisie images/icons/doctype_pdf.gif
A.-S. Bonnet-BenDhia, B. Goursaud, C. Hazard, A. Prieto
A multimodal method for non-uniform open waveguides (2009)
International Congress on Ultrasonics, Santiago, Chile 
A.-S. Bonnet-BenDhia, C. Hazard, J.-F. Mercier, E. Redon
Dirichlet-to-Neumann operators for an acoustic waveguide with a uniform flow and an impedance boundary condition (2009)
9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau 
B. Goursaud, C. Hazard, A. Prieto, A.-S. Bonnet-BenDhia
Leaky modes in an open waveguide (2009)
9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau 
A.-S. Bonnet-BenDhia, L. Chorfi, G. Dakhia, C. Hazard
A modal radiation condition for scattering in open waveguides (2009)
9th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES'09), Pau 
A.-S. Bonnet-BenDhia, B. Goursaud, C. Hazard, A. Prieto
Finite element computation of leaky modes in stratified waveguides (2008)
5èmes journées du GDR "Etude de la propagation ultrasonore en vue du contrôle non destructif", Anglet, june 
A.-S. Bonnet-BenDhia, G. Dakhia, C. Hazard, L. Chorfi
Diffraction par un défaut dans un guide ouvert (2007)
TAMTAM (Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc), Alger 
C. Ben Amar, N. Gmati, C. Hazard, K. Ramdani
Numerical study of time reversal in a 2D waveguide (2007)
8th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'07), Reading 
C. Hazard
Computing resonances for large time simulation of scattering phenomena (2006)
MAFELAP 2006 
C. Hazard, E. Lunéville
An enhanced multimodal method for non uniform waveguides (2006)
Mathmondes 2 (journées franco-britaniques) 
C. Hazard, F. Loret
Décomposition en modes résonnants pour le problème de tenue à la mer, application numérique (2005)
10èmes Journées de l'Hydrodynamique, Poitiers 
C. Ben Amar, N. Gmati, C. Hazard, K. Ramdani
Modélisation mathématique d'un miroir à retournement temporel (2005)
TAMTAM'05 (Tendances dans les Applications Mathématiques - Tunisie, Algérie, Maroc), Tunis 
C. Ben Amar, N. Gmati, C. Hazard, K. Ramdani
Retournement temporel dans un guide d'ondes, étude théorique et numérique (2005)
Premier Congrès International de Conception et Modélisation des Systèmes Mécaniques, Hammamet, Tunisie 
C. Ben Amar, N. Gmati, C. Hazard, K. Ramdani
Mathematical and numerical study of a time reversal mirror (2005)
Seventh International Conference on Mathematical and Numerical Aspects of Wave Propagation, Providence, USA 
C. Hazard, F. Loret
The Singularity Expansion Method applied to a transient fluid-structure interaction problem (2005)
Seventh International Conference on Mathematical and Numerical Aspects of Wave Propagation, Providence, USA 
C. Hazard, F. Loret
Décomposition en modes résonnants pour le problème de tenue à la mer, application numérique (2005)
10èmes Journées de l'Hydrodynamique, Poitiers 
E. Lunéville, C. Hazard
Multimodal Methods and some Applications (2004)
Journée franco-anglaise MathMondes, Paris, France 
C. Hazard, F. Loret
Décomposition en modes résonnants pour le problème de tenue à la mer (2003)
9èmes Journées de l'Hydrodynamique, Poitiers 
E. Lunéville, C. Hazard
Multimodal Approach and Optimum Design in Non Uniform Waveguides (2002)
JEE'02 Symposium, Toulouse, France 
C. Hazard, M. Meylan
Spectral theory for a floating massless thin plate on water of arbitrary depth (2002)
10th International Offshore and Polar Engineering Conference, Kitakyushu, Japan 

Séminaire

M. Cassier, C. Hazard, P. Joly
Selective focusing for time-dependent waves (2013)
 

Rapport de recherche

C. Hazard
A distribution framework for the generalized Fourier transform associated with a Sturm-Liouville operator (2009)
Rapport de Recherche INRIA N° 6885 

Cours

A.-S. Bonnet-BenDhia, E. Lunéville, C. Hazard
Méthodes Numériques pour les Equations aux Dérivées Partielles (1997)
Cours ENSTA