laurent bourgeois

53
Documents

Présentation

For more information see http://uma.ensta-paristech.fr/~bourgeois

Publications

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Publications

Image document

Generalized impedance boundary conditions with vanishing or sign-changing impedance

Laurent Bourgeois , Lucas Chesnel
SIAM Journal on Mathematical Analysis, 2024, 56 (3), pp.4223-4251. ⟨10.1137/23M1604217⟩
Article dans une revue hal-04216044 v2
Image document

Scattering in a partially open waveguide: the inverse problem

Laurent Bourgeois , Jean-François Fritsch , Arnaud Recoquillay
Inverse Problems and Imaging , 2023, 17 (2), pp.463-469. ⟨10.3934/ipi.2022052⟩
Article dans une revue hal-03619606 v1
Image document

Scattering in a partially open waveguide: the forward problem

Laurent Bourgeois , Sonia Fliss , Jean-François Fritsch , Christophe Hazard , Arnaud Recoquillay
IMA Journal of Applied Mathematics, 2023, 88, pp.102-151. ⟨10.1093/imamat/hxad004⟩
Article dans une revue hal-03407434 v2
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The Morozov's principle applied to data assimilation problems

Laurent Bourgeois , Jérémi Dardé
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, ⟨10.1051/m2an/2022061⟩
Article dans une revue hal-03344087 v3
Image document

Imaging junctions of waveguides

Laurent Bourgeois , Jean-François Fritsch , Arnaud Recoquillay
Inverse Problems and Imaging , 2021, ⟨10.3934/ipi.2020065⟩
Article dans une revue hal-02567182 v1
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On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates

Laurent Bourgeois , Lucas Chesnel
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, ⟨10.1051/m2an/2019073⟩
Article dans une revue hal-02385487 v1
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On well-posedness of scattering problems in a Kirchhoff-Love infinite plate

Laurent Bourgeois , Christophe Hazard
SIAM Journal on Applied Mathematics, 2020, 80 (3), pp.1546-1566
Article dans une revue hal-02334004 v1
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The Linear Sampling Method for Kirchhoff-Love Infinite Plates

Laurent Bourgeois , Arnaud Recoquillay
Inverse Problems and Imaging , 2020, 14 (2), pp.363-384. ⟨10.3934/ipi.2020016⟩
Article dans une revue hal-02269910 v1
Image document

An inverse obstacle problem for the wave equation in a finite time domain

Laurent Bourgeois , Dmitry Ponomarev , Jérémi Dardé
Inverse Problems and Imaging , 2019, 19 (2), pp.377-400. ⟨10.3934/ipi.2019019⟩
Article dans une revue hal-01818956 v1
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On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model

Laurent Bourgeois , Lucas Chesnel , Sonia Fliss
Communications in Mathematical Sciences, 2019
Article dans une revue hal-01883560 v2
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Linear Sampling Method applied to Non Destructive Testing of an elastic waveguide: theory, numerics and experiments

Vahan Baronian , Laurent Bourgeois , Bastien Chapuis , Arnaud Recoquillay
Inverse Problems, 2018, 34, 075006 (34 p.). ⟨10.1088/1361-6420/aac21e⟩
Article dans une revue hal-01816810 v1
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A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems

Laurent Bourgeois , Arnaud Recoquillay
ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (1), pp.123-145. ⟨10.1051/m2an/2018008⟩
Article dans une revue hal-02922747 v1
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Quantification of the unique continuation property for the heat equation

Laurent Bourgeois
Mathematical Control and Related Fields, 2017, 7 (3), pp.347 - 367. ⟨10.3934/mcrf.2017012⟩
Article dans une revue hal-01648045 v1
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The "exterior approach" applied to the inverse obstacle problem for the heat equation

Laurent Bourgeois , Jérémi Dardé
SIAM Journal on Numerical Analysis, 2017, 55 (4), ⟨10.1137/16M1093872⟩
Article dans une revue hal-01366850 v2
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Imaging an acoustic waveguide from surface data in the time domain

Vahan Baronian , Laurent Bourgeois , Arnaud Recoquillay
Wave Motion, 2016, 66, pp.68 - 87. ⟨10.1016/j.wavemoti.2016.05.006⟩
Article dans une revue hal-01379890 v1
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Uniqueness results for inverse Robin problems with bounded coefficient

Laurent Baratchart , Laurent Bourgeois , Juliette Leblond
Journal of Functional Analysis, 2016, ⟨10.1016/j.jfa.2016.01.011⟩
Article dans une revue hal-01084428 v2
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Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1d case

Eliane Bécache , Laurent Bourgeois , Lucas Franceschini , Jérémi Dardé
Inverse Problems and Imaging , 2015, ⟨10.3934/ipi.2015.9.971⟩
Article dans une revue hal-01235099 v1
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On the identification of defects in a periodic waveguide from far field data

Laurent Bourgeois , Sonia Fliss
Inverse Problems, 2014, 30 (9), ⟨10.1088/0266-5611/30/9/095004⟩
Article dans une revue hal-00914674 v2

The "exterior approach" to solve the inverse obstacle problem for the Stokes system

Laurent Bourgeois , Jérémi Dardé
Inverse Problems and Imaging , 2014, pp.Pages: 23 - 51. ⟨10.3934/ipi.2014.8.23⟩
Article dans une revue hal-00937768 v1

On the use of the Linear Sampling Method to identify cracks in elastic waveguides

Laurent Bourgeois , Éric Lunéville
Inverse Problems, 2013, 29, pp.025017. ⟨10.1088/0266-5611/29/2/025017⟩
Article dans une revue hal-00937686 v1

A remark on Lipschitz stability for inverse problems

Laurent Bourgeois
Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2013, 351, pp.187--190. ⟨10.1016/j.crma.2013.04.004⟩
Article dans une revue hal-00939437 v1
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On Simultaneous Identification of the Shape and Generalized Impedance Boundary Condition in Obstacle Scattering

Laurent Bourgeois , Nicolas Chaulet , Houssem Haddar
SIAM Journal on Scientific Computing, 2012, 34 (3), pp.A1824-A1848. ⟨10.1137/110850347⟩
Article dans une revue hal-00741618 v1

On the use of sampling methods to identify cracks in acoustic waveguides

Laurent Bourgeois , Éric Lunéville
Inverse Problems, 2012, 28 (10), pp.105011.1-105011.18. ⟨10.1088/0266-5611/28/10/105011⟩
Article dans une revue istex hal-00849558 v1

On the use of Lamb modes in the linear sampling method for elastic waveguides

Laurent Bourgeois , Frédérique Le Louër , Éric Lunéville
Inverse Problems, 2011, 27 (5), pp.055001. ⟨10.1088/0266-5611/27/5/055001⟩
Article dans une revue istex hal-00849575 v1

Stable reconstruction of generalized impedance boundary conditions

Laurent Bourgeois , Nicolas Chaulet , Houssem Haddar
Inverse Problems, 2011, 27 (9), pp.095002. ⟨10.1088/0266-5611/27/9/095002⟩
Article dans une revue hal-00739766 v1

About identification of defects in an elastic-plastic medium from boundary measurements in the antiplane case

Laurent Bourgeois , Jérémi Dardé
Applicable Analysis, 2011, 90 (10), pp.1481-1497. ⟨10.1080/00036811.2010.549481⟩
Article dans une revue hal-00849572 v1

On the use of Lamb modes in the linear sampling method for elastic waveguides

Laurent Bourgeois , Frédérique Le Louër , Eric Luneville
Inverse Problems, 2011, 27 (5), pp.055001. ⟨10.1088/0266-5611/27/5/055001⟩
Article dans une revue istex hal-01979589 v1

A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data

Laurent Bourgeois , Jérémi Dardé
Inverse Problems, 2010, 26 (9), pp.095016. ⟨10.1088/0266-5611/26/9/095016⟩
Article dans une revue istex hal-00873058 v1

Identification of generalized impedance boundary conditions in inverse scattering problems

Laurent Bourgeois , Houssem Haddar
Inverse Problems and Imaging , 2010, 4 (1), pp.19-38. ⟨10.3934/ipi.2010.4.19⟩
Article dans une revue hal-00739327 v1

A quasi-reversibility approach to solve the inverse obstacle problem

Laurent Bourgeois , Jérémi Dardé
Inverse Problems and Imaging , 2010, 4 (3), pp.351-377. ⟨10.3934/ipi.2010.4.351⟩
Article dans une revue hal-00873059 v1

About stability and regularization of ill-posed elliptic Cauchy problems: The case of Lipschitz domains

Laurent Bourgeois , Jérémi Dardé
Applicable Analysis, 2010, 89 (11), pp.1745-1768. ⟨10.1080/00036810903393809⟩
Article dans une revue hal-00849579 v1

About stability and regularization of ill-posed elliptic Cauchy problems: The case of C1,1 domains

Laurent Bourgeois
ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (4), pp.715-735. ⟨10.1051/m2an/2010016⟩
Article dans une revue hal-00873056 v1

The linear sampling method in a waveguide: A modal formulation

Laurent Bourgeois , Éric Lunéville
Inverse Problems, 2008, 24 (1), ⟨10.1088/0266-5611/24/1/015018⟩
Article dans une revue istex hal-00876221 v1

The linear sampling method in a waveguide: A formulation based on modes

Laurent Bourgeois , Éric Lunéville
Journal of Physics: Conference Series, 2008, 135 (-), pp.012023. ⟨10.1088/1742-6596/135/1/012023⟩
Article dans une revue hal-00873074 v1

A stability estimate for ill-posed elliptic Cauchy problems in a domain with corners

Laurent Bourgeois
Comptes Rendus. Mathématique, 2007, 345 (7), pp.385-390. ⟨10.1016/j.crma.2007.09.014⟩
Article dans une revue hal-00876225 v1

Locating an obstacle in a 3D finite depth ocean using the convex scattering support

Laurent Bourgeois , Colin Chambeyron , Steven Kusiak
Journal of Computational and Applied Mathematics, 2007, 204 (2 SPEC. ISS.), pp.387-399. ⟨10.1016/j.cam.2006.01.045⟩
Article dans une revue istex hal-00876231 v1

Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation

Laurent Bourgeois
Inverse Problems, 2006, 22 (2), pp.413-430. ⟨10.1088/0266-5611/22/2/002⟩
Article dans une revue istex hal-00876239 v1

A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation

Laurent Bourgeois
Inverse Problems, 2005, 21 (3), pp.1087-1104. ⟨10.1088/0266-5611/21/3/018⟩
Article dans une revue istex hal-00876244 v1
Image document

Scattering in a partially open waveguide: the inverse problem

Laurent Bourgeois , Jean-François Fritsch , Arnaud Recoquillay
Waves 2022, Jul 2022, Palaiseau, France
Communication dans un congrès cea-04418172 v1
Image document

World First Retransmission of Medical Images in an Operating Room via DICOM-RTV: Technical Details

Saad El Jaouhari , Patrick Hardy , Guillaume Pasquier , Pierrick Guitter , Eric Poiseau et al.
COMPSAC 2019 - 43rd IEEE Annual Computer Software and Applications Conference, Jul 2019, Milwaukee, United States. pp.294-299, ⟨10.1109/COMPSAC.2019.10222⟩
Communication dans un congrès hal-02430883 v1

Imaging defects in an elastic waveguide using time-dependent surface data

V Baronian , B Chapuis , A Recoquillay , Laurent Bourgeois
8th International Conference on New Computational Methods for Inverse Problems, May 2018, Cachan, France. 012010 (7 p.), ⟨10.1088/1742-6596/1131/1/012010⟩
Communication dans un congrès hal-04556527 v1

Optimal control applied to inverse problems in elastoplasticity

Laurent Bourgeois , Claude Stolz
ECOMAS, 1998, Toulon, France. pp.221-228, ⟨10.2140/jomms.2015.10.411⟩
Communication dans un congrès hal-00116498 v1
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Uniqueness results for 2D inverse Robin problems with bounded coefficient

Laurent Baratchart , Laurent Bourgeois , Juliette Leblond
[Research Report] RR-8665, INRIA Sophia Antipolis; INRIA Saclay; INRIA. 2015
Rapport (rapport de recherche) hal-01104629 v1
Image document

A remark on Lipschitz stability for inverse problems

Laurent Bourgeois
[Research Report] RR-8104, INRIA. 2012
Rapport (rapport de recherche) hal-00741892 v1
Image document

On simultaneous identification of a scatterer and its generalized impedance boundary condition

Laurent Bourgeois , Nicolas Chaulet , Houssem Haddar
[Research Report] RR-7645, INRIA. 2011, pp.28
Rapport (rapport de recherche) inria-00599567 v1
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Identification of generalized impedance boundary conditions: some numerical issues

Laurent Bourgeois , Nicolas Chaulet , Houssem Haddar
[Research Report] RR-7449, INRIA. 2010, pp.30
Rapport (rapport de recherche) inria-00534042 v2
Image document

Identification of generalized impedance boundary conditions in inverse scattering problems

Laurent Bourgeois , Houssem Haddar
[Research Report] RR-6786, INRIA. 2008, pp.27
Rapport (rapport de recherche) inria-00349258 v2
Image document

Conditional stability for ill-posed elliptic Cauchy problems : the case of Lipschitz domains (part II)

Laurent Bourgeois , Jérémi Dardé
[Research Report] RR-6588, INRIA. 2008
Rapport (rapport de recherche) inria-00324166 v1
Image document

Conditional stability for ill-posed elliptic Cauchy problems : the case of $C^{1,1}$ domains (part I)

Laurent Bourgeois
[Research Report] RR-6585, INRIA. 2008
Rapport (rapport de recherche) inria-00302354 v1