UMA Home page for Houssem Haddar
Publications
Papers in peer-reviewed journals
To appear
- On the convergence analysis of one-shot inversion methods
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SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, to appear
2023
- The linear sampling method for random sources
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SIAM Journal on Imaging Sciences, vol. 16 (3), pp. 1572-1593, Society for Industrial and Applied Mathematics, 2023
2022
- Computing weakly singular and near-singular integrals over curved boundary elements
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SIAM Journal on Scientific Computing, vol. 44 (6), pp. A3728-A3753, Society for Industrial and Applied Mathematics, 2022
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
and
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 [ ] - 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
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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
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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
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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
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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.
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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.
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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
2024
- High-Resolution Seismic Imaging for Dam-Rock Interface using Full-Waveform Inversion
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16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (Berlin), jul, 2024 - Imagerie d’interface barrage-fondation par inversion de forme d'onde complète
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E3S Web Conf., vol. 504, pp. 04002, Journées Scientifiques AGAP Qualité 2024 (Poitiers), EDP Sciences, mar 2024 - Imaging a dam-rock interface with inversion of a full elastic-acoustic model
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11th International Conference on Inverse Problems in Engineering: Theory and Practice (Buzios - Rio de Janeiro), jul, 2024
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
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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
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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
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MSRI Berkeley, California, 2001
1998
- Conditions équivalentes pour des couches minces ferromagnétiques, étude du problème monodimensionnel
and
INRIA, 1998
Preprints
2024
2023
- Computing singular and near-singular integrals over curved boundary elements: The strongly singular case
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2023
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