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laurent bourgeois

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Documents

Presentation

For more information see [http://uma.ensta-paristech.fr/~bourgeois](http://uma.ensta-paristech.fr/~bourgeois "Page UMA de Laurent Bourgeois")
For more information see [http://uma.ensta-paristech.fr/~bourgeois](http://uma.ensta-paristech.fr/~bourgeois "Page UMA de Laurent Bourgeois")

Publications

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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⟩
Journal articles hal-03619606v1
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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, ⟨10.1093/imamat/hxad004⟩
Journal articles hal-03407434v2
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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⟩
Journal articles hal-03344087v3
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Imaging junctions of waveguides

Laurent Bourgeois , Jean-François Fritsch , Arnaud Recoquillay
Inverse Problems and Imaging , 2021, ⟨10.3934/ipi.2020065⟩
Journal articles hal-02567182v1
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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⟩
Journal articles hal-02385487v1
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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
Journal articles hal-02334004v1
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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⟩
Journal articles hal-02269910v1
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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⟩
Journal articles hal-01818956v1
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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
Journal articles hal-01883560v2
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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⟩
Journal articles hal-02922747v1
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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, ⟨10.1088/1361-6420/aac21e⟩
Journal articles hal-01816810v1
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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⟩
Journal articles hal-01366850v2
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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⟩
Journal articles hal-01648045v1
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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⟩
Journal articles hal-01084428v2
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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⟩
Journal articles hal-01379890v1
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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⟩
Journal articles hal-01235099v1

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⟩
Journal articles hal-00937768v1
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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⟩
Journal articles hal-00914674v2

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⟩
Journal articles hal-00937686v1

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⟩
Journal articles hal-00939437v1
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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⟩
Journal articles hal-00741618v1

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⟩
Journal articles hal-00849558v1

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⟩
Journal articles hal-00849575v1

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⟩
Journal articles hal-00739766v1

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⟩
Journal articles hal-00849572v1

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⟩
Journal articles hal-00873056v1

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⟩
Journal articles hal-00849579v1

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⟩
Journal articles hal-00873058v1

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⟩
Journal articles hal-00739327v1

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⟩
Journal articles hal-00873059v1

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⟩
Journal articles hal-00873074v1

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⟩
Journal articles hal-00876221v1

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⟩
Journal articles hal-00876225v1

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⟩
Journal articles hal-00876231v1

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⟩
Journal articles hal-00876239v1

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⟩
Journal articles hal-00876244v1