UMA Home page for Houssem Haddar
Publications
Papers in peer-reviewed journals
2021
- Qualitative indicator functions for imaging crack networks using acoustic waves
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SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2021
2020
- A duality between scattering poles and transmission eigenvalues in scattering theory
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 476 (2244), pp. 20200612, Royal Society, The, dec, 2020 - A time domain factorization method for obstacles with impedance boundary conditions
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Inverse Problems, vol. 36 (10), pp. 105011, IOP Publishing, oct, 2020 - Data Completion Method For the Helmholtz Equation Via Surface Potentials for Partial Cauchy Data
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Inverse Problems, vol. 36 (5), pp. 055012, IOP Publishing, apr, 2020 - Differential tomography of micromechanical evolution in elastic materials of unknown micro/macrostructure
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SIAM Journal on Imaging Sciences, vol. 13 (3), pp. 1302–1330, Society for Industrial and Applied Mathematics, aug, 2020 - Factorization Method for Imaging a Local Perturbation in Inhomogeneous Periodic Layers from Far Field Measurements
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Inverse Problems and Imaging, vol. 14 (1), pp. 133-152, AIMS American Institute of Mathematical Sciences, feb, 2020
2013
- An improved time domain linear sampling method for Robin and Neumann obstacles
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Applicable Analysis, pp. 1-22, 2013 [
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- Analysis of the factorization method for a general class of boundary conditions
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Journal of Inverse and Ill-posed Problems, Walter de Gruyter, 2013 - On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems
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Mathematical Models and Methods in Applied Sciences, vol. 13 (23), pp. 2433-2464, 2013 [ ]
2012
- Approximate models for wave propagation across thin periodic interfaces
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Journal de Mathématiques Pures et Appliquées, vol. 98 (1), pp. 28-71, 2012 [ ] - On simultaneous identification of a scatterer and its generalized impedance boundary condition
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Siam Journal of Scientific Computing, vol. 34-3, pp. 1824-1848, 2012 [ ]
2011
- On the use of T-coercivity to study the Interior Transmission Eigenvalue Problem.
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C. R. Acad. Sci., Ser. I, vol. 340, 2011 [ ] - Stable reconstruction of generalized impedance boundary conditions
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Inverse Problems, vol. 27, pp. 095002, 2011 [ ]
2010
- Efficient solution of a wave equation with fractional order dissipative terms
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Journal of Computational and Applied Mathematics, vol. 234(6), pp. 2003-2010, 2010 - Identification of generalized impedance boundary conditions in inverse scattering problems
and
Inverse Problems and Imaging, vol. 4-1, pp. 19-38, 2010 [ ]
2008
- Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell's equations
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Mathematical Models and Methods in Applied Sciences, vol. 18, 10, pp. 1787--1827, oct, 2008
2007
- Identification of partially coated anisotropic buried objects using electromagnetic Cauchy data
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Journal of Integral Equations and Applications, 2007 - Scattering From infinite rough tubular surfaces
and
Math. Meth. Appl. Sci., vol. 30 (30), pp. 389-414, 2007
2006
- Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects
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Inverse problems, vol. 22, pp. 845-867, 2006 - Conformal mapping and an inverse impedance boundary value problem
and
Journal of Inverse ill-posed Problems, vol. 14(8), pp. 785-804, 2006 - High order generalized impedance boundary conditions in electromagnetic scattering problems
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Comptes Rendus de l'Academie des Sciences de Paris Serie Physique, vol. 7 (5), pp. 533-542, jun, 2006 - The Convex Back-Scattering Support
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SIAM J. Appl. Math., vol. 66(2), pp. 591-615, 2006
2005
- An Application of the Reciprocity Gap Functional to Electromagnetic Inverse Scattering Theory
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Inverse Problems, vol. 21(1), pp. 383-398, 2005 - Conformal mappings and inverse boundary value problems
and
Inverse Problems, vol. 21, pp. 935--953, 2005 - Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case.
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Math. Models Methods Appl. Sci., vol. 15 (8), pp. 1273--1300, 2005 - On the use of the reciprocity-gap functional in inverse scattering from planar cracks
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Math. Models Methods Appl. Sci., vol. 15 (10), pp. 1553-1574, 2005
2004
- On the Fréchet derivative for Obstacle Scattering with an Impedance Boundary Condition
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Siam J. Appl. Math., vol. 65 (1), pp. 194-208, 2004 - The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem
Math. Meth. in the Appl. Sci., vol. 27 (18), pp. 2111 - 2129, 2004
2003
- Homogenized model for a laminar ferromagnetic medium.
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Proc. Roy. Soc. Edinburgh Sect. A, vol. 133(3), pp. 567--598, 2003 - Numerical and analytical studies of the linear sampling method in electromagnetic inverse scattering problems
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Inverse Problems, vol. 19 (6), pp. 1279 - 1298, 2003 - The linear sampling method in inverse electromagnetic scattering theory.
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Inverse problems (Special section on imaging), vol. 19 (6), pp. S105-S137, 2003
2002
- Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings.
and
Journal of Computational and Applied Mathematics, vol. 143(2), pp. 201-236, 2002 - The linear sampling method for anisotropic media
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J. Comput. Appl. Math., vol. 146 (2), pp. 285-299, 2002 - The linear sampling method for solving the electromagnetic inverse medium problem
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Inverse Problems, vol. 18, pp. 891-906, 2002 - The linear sampling method for solving the electromagnetic inverse scattering problem
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SIAM J. Sci. Comp, vol. 24 (3), pp. 719-731, 2002
2001
- Effective Boundary Conditions For Thin Ferromagnetic Layers; the One-Dimensional Model
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SIAM Journal on Applied Mathematics, vol. 61(4), pp. 1386-1417, 2001 - Effective boundary conditions for thin ferromagnetic coatings. Asymptotic analysis of the 1D model.
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Asymptot. Anal., vol. 27, no. 2, pp. 127--160., 2001 - Etude du problème couplé Maxwell-Landau-Lifshitz. Existence et unicité de solutions fortes en dimension deux
comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 332(5), pp. 1--6, 2001
2000
- Effective boundary conditions for thin ferromagnetic layers: the one-dimensional model.
and
SIAM J. Appl. Math., vol. 61, no. 4, pp. 1386--1417, 2000
Chapter
2002
- Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings.
and
Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XIV, vol. 31, pp. 415--456, North-Holland, Amsterdam, 2002
International conferences with proceedings
2011
- Electromagnetic approximate transmission condition for thin periodic layer
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10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 [ ] - Stability results for the identification of generalized impedance boundary coeficients
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Waves 2011, Vancouver, jul, 2011 [ ]
2009
- Approximate models for wave propagation across thin periodic interfaces
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9th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2009), jun, 2009
2005
- A new Linear Sampling Method for the Electromagnetic Imaging of Buried Objects
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Mathematical Method in Scattering Theory and Biomedical Engineering, pp. 19-30, Sventh International Workshop in Scattering Theory and Biomedical Engineering, oct, 2005 - Imaging buried objects from electromagnetic measurements
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Waves'05, Brown, USA, 2005 - On the use of the Reciprocity Gap functional in inverse scattering from planar impedent cracks
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Waves 2005, Providence, USA, 2005
2004
- Well-posedness of non-linear systems when coupled with diffusive systems
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NOLCOS04, Elsevier proceedings, 2004
2003
- A Webster-Lokshin model for waves with viscothermal losses and impedance boundary conditions: strong solutions
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pp. 66-71, Mathematical and numerical aspects of wave propagation, Jyväskylä , Finland, Springer, 2003 - Interior transmission problem for anisotropic media
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pp. 613-618, Mathematical and numerical aspects of wave propagation, Jyväskylä , Finland, Springer, 2003 - On the validation of the linear sampling method in electromagnetic inverse scattering problems
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pp. 649-655, Mathematical and numerical aspects of wave propagation, Jyväskylä , Finland, Springer, 2003
2000
- Electromagnetic waves in laminar ferromagnetic medium: the homogenized problem
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Mathematical and numerical aspects of wave propagation, Santiago de Compostela, Spain, pp. 578--582, SIAM, Philadelphia, PA, 2000
1998
- An asymptotic approach of the scattering of electromagnetic waves by thin ferromagnetic coatings
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pp. 578-582, Mathematical and numerical aspects of wave propagation (Golden, CO, 1998), SIAM, 1998
Conferences without proceedings
2014
- Effective boundary conditions for thin periodic coatings canum
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canum 2014, avr 2014 [ ]
2013
- An improved linear sampling method in the time domain
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WONAPDE, Concepcion, Chile, 2013 - Analysis of the factorization method for a general class of boundary conditions
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JIP13, annaba, oct 2013 [ ] - Effective boundary conditions for thin periodic coatings
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waves'2013, jun, 2013 [ ]
2012
- A factorization method for support characterization of an obstacle with a generalized impedance boundary condition
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IPMS, Antalya, Turkey, may, 2012 - Interior Transmission Eigenvalue Problem and T-coercivity
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Picof conference, Palaiseau, 2012 [ ] - Reconstruction of a perfectly conducting obstacle coated with a thin dielectric layer
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PICOF'12, Palaiseau, France, apr, 2012 - Transmission eigenvalue problems with sign-changing coefficients
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Picof conference, Palaiseau, 2012 [ ]
2011
- Electromagnetic approximate transmission condition for thin periodic layer
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10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 [ ] - Electromagnetic approximate transmission condition for thin periodic layer
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10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 - Electromagnetic approximate transmission condition for thin periodic layer
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Waves 2011, 10th International Conference on Mathematical and Numerical Aspects of Waves, 2011 [ ]
2010
- Approximate Models for the scattering from thin periodic layers
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6th Singular Days on Asymptotic Methods for PDEs, apr, 2010 [ ] - Approximate model for wave propagation across a thin periodic ring
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WONAPDE 2010, Third Chilean Workshop on Numerical Analysis and Partial Differential Equations, jan, 2010 [ ] - Modèles asymptotiques pour les interfaces fines et périodiques
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Congrès CANUM 2010, 40e Congrès National d'Analyse Numérique, jun 2010
2009
- Approximate models for wave propagation across thin periodic interfaces
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Waves 2009, 9th International Conference on Mathematical and Numerical Aspects of Waves, may, 2009 [ ] - Asymptotic models for wave propagation across thin periodic interfaces
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Polaritions 2009, Polaritons, Surface plasmons, Resonances: Sub-wavelength interaction in optics, may, 2009 [ ] - Uniqueness and stability for identification of generalized boundary conditions
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Conférence Applied Inverse Problems 2009, Université de Vienne, Vienne (Autriche), 20-24/7/2009, jul, 2009
2007
2005
- A new Linear Sampling Method for the Electromagnetic Imaging of Buried Objects
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pp. 19-30, Mathematical Method in Scattering Theory and Biomedical Engineering, oct, 2005 - Asymptotic Models in Electromagnetism : Example of Generalized Impedance Boundary Conditions For Strongly Absorbing Media
JSO "Modelisation EM", ONERA, Toulouse, 2005 - Asymptotic models for Electromagnetic Scattering from Strongly Absorbing Obstacles
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Waves2005, Brown University, Providence(USA), 2005 - Electrostatic Imaging Based on Conformal Mapping
Conférence GAMM'05, Luxembourg, 2005 - Generalized impedance boundary conditions for strongly absorbing scatterers: various approximations and error analysis
Seminar at the University of Göttingen, Germany, 2005 - Imaging buried objects from electromagnetic measurements
Waves05, Brown University , Providence, USA, 2005
Seminar
2014
- Conditions aux limites équivalentes pour les couches minces périodiques
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Seminaire POEMS, mar 2014 [ ]
Habilitation these
2006
- Imagerie et Modèles Asymptotiques en Electromagnétisme
Habilitation Université Paris-Dauphine, 2006 [ ]
Doctoral these
2000
- Modèles asymptotiques en ferromagnétisme: couches minces et homogénéisation
Ecole des Ponts ParisTech, déc 2000 [ ]
Research reports
2022
- Convergence analysis of multi-step one-shot methods for linear inverse problems
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Inria Saclay, jul, 2022
2020
- Shape Reconstruction of Deposits Inside a Steam Generator Using Eddy Current Measurements
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INRIA Saclay - Equipe DeFI, apr, 2020
2013
- Analysis of the factorization method for a general class of boundary conditions
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Rapport Inria, 2013 [ ]
2011
- An improved time domain linear sampling method for Robin and Neumann obstacles
, and
dec, 2011 - On simultaneous identification of a scatterer and its generalized impedance boundary condition
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Rapport INRIA, jun, 2011 [ ]
2010
- Identification of generalized impedance boundary conditions: some numerical issues
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Rapport INRIA, nov, 2010 [ ]
2009
- Identification of generalized impedance boundary condition in inverse scattering problems
and
Rapport INRIA, 2009 [ ]
2007
- Construction and analysis of approximate models for electromagnetic
scattering from imperfectly conducting scatterers
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INRIA, 5839, 2007
2006
- Etude d'un problème modèle pour la diffraction par des fils minces par développements asymptotiques raccordés Cas 2D
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fév 2006
2004
- On the use of the Reciprocity-Gap functional in inverse scattering from planar carcks
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INRIA, 2004
2002
- Modélisation de filtres optiques par élements finis et équations intégrales
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Rapport final pour le contrat INRIA-ATMEL, 2002 - On the validation of the linear sampling method in electromagnetic inverse scattering problems
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INRIA, 2002
2001
- The linear sampling method for anisotropic media: Part 2
and
MSRI Berkeley, California, 2001
1998
- Conditions équivalentes pour des couches minces ferromagnétiques, étude du problème monodimensionnel
and
INRIA, 1998
Preprint
Submitted
- On the convergence analysis of one-shot inversion methods
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submitted
Other publications
2021
- An accelerated level-set method for inverse scattering problems
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dec, 2021 - Inversion of Eddy-Current Signals Using a Level-Set Method and Block Krylov Solvers
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aug, 2021