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authIdHal_s : laurent-bourgeois
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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
Reports inria-00324166v1
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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
Reports inria-00302354v1

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
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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
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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
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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

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 istex hal-00876239v1

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 istex hal-00876221v1

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

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 istex hal-00849558v1
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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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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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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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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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Scattering in a partially open waveguide: the inverse problem

Laurent Bourgeois , Jean-François Fritsch , Arnaud Recoquillay
Inverse Problems and Imaging , 2022, ⟨10.3934/ipi.2022052⟩
Journal articles hal-03619606v1
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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 "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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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

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 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 istex hal-00876244v1
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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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Identification of generalized impedance boundary conditions in inverse scattering problems

Laurent Bourgeois , Houssem Haddar
[Research Report] RR-6786, INRIA. 2008, pp.27
Reports inria-00349258v2

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
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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
Reports inria-00599567v1
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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

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

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 istex hal-00876225v1

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

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 istex hal-00849575v1

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