Laurent Bourgeois
Unité de Mathématiques Appliquées (UMA)
Enseignant-Chercheur
HDR
Je suis professeur de l'ENSTA, membre de l'UMA et de l'équipe POEMS. Je suis actuellement responsable de la majeure mathématiques de l'ENSTA Paris et co-responsable du M1 de mathématiques appliquées de l'IPP.
Research and education activities
Mes activités de recherche concernent essentiellement les problèmes inverses gouvernés par des équations aux dérivées partielles, aussi bien du point de vue théorique que numérique. Je m'intéresse notamment aux applications des problèmes inverses au contrôle non destructif par ondes guidées.
Awards & distinctions
Prix de thèse de l'Ecole Polytechnique pour l'année 1998
HAL Publications
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Identification of bottom deformations of the ocean from surface measurements
Pré-publication, Document de travail Published on 21/03/2024 co-written by Laurent Bourgeois, Jean-François Mercier, Raphaël Terrine -
Generalized impedance boundary conditions with vanishing or sign-changing impedance
Article dans une revue Published on 01/01/2024 co-written by Laurent Bourgeois, Lucas Chesnel -
Scattering in a partially open waveguide: the forward problem
Article dans une revue Published on 01/02/2023 co-written by Laurent Bourgeois, Sonia Fliss, Jean-François Fritsch, Christophe Hazard, Arnaud Recoquillay -
Scattering in a partially open waveguide: the inverse problem
Article dans une revue Published on 01/01/2023 co-written by Laurent Bourgeois, Jean-François Fritsch, Arnaud Recoquillay -
The Morozov's principle applied to data assimilation problems
Article dans une revue Published on 01/01/2022 co-written by Laurent Bourgeois, Jérémi Dardé -
Outils élémentaires d'analyse pour les Equations aux Dérivées Partielles
Cours Published on 14/09/2021 co-written by Anne-Sophie Bonnet-Ben Dhia, Laurent Bourgeois, Christophe Hazard -
Imaging junctions of waveguides
Article dans une revue Published on 01/02/2021 co-written by Laurent Bourgeois, Jean-François Fritsch, Arnaud Recoquillay -
The Linear Sampling Method for Kirchhoff-Love Infinite Plates
Article dans une revue Published on 01/04/2020 co-written by Laurent Bourgeois, Arnaud Recoquillay -
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
Article dans une revue Published on 01/03/2020 co-written by Laurent Bourgeois, Lucas Chesnel -
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
Article dans une revue Published on 01/03/2020 co-written by Laurent Bourgeois, Lucas Chesnel -
On well-posedness of scattering problems in a Kirchhoff-Love infinite plate
Article dans une revue Published on 01/01/2020 co-written by Laurent Bourgeois, Christophe Hazard -
On well-posedness of scattering problems in a Kirchhoff-Love infinite plate
Article dans une revue Published on 01/01/2020 co-written by Laurent Bourgeois, Christophe Hazard -
On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model
Article dans une revue Published on 26/12/2019 co-written by Laurent Bourgeois, Lucas Chesnel, Sonia Fliss -
World First Retransmission of Medical Images in an Operating Room via DICOM-RTV: Technical Details
Communication dans un congrès Published on 15/07/2019 co-written by Saad El Jaouhari, Patrick Hardy, Guillaume Pasquier, Pierrick Guitter, Eric Poiseau, Cédric Moubri-Tournes, Stéphane Leduc, Sebastien Vincendeau, Laurent Bourgeois, Bernard Gibaud, Emmanuel Cordonnier -
Linear Sampling Method applied to Non Destructive Testing of an elastic waveguide: theory, numerics and experiments
Article dans une revue Published on 22/05/2018 co-written by Vahan Baronian, Laurent Bourgeois, Bastien Chapuis, Arnaud Recoquillay -
A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems
Article dans une revue Published on 01/01/2018 co-written by Laurent Bourgeois, Arnaud Recoquillay -
Quantification of the unique continuation property for the heat equation
Article dans une revue Published on 01/07/2017 by Laurent Bourgeois -
Imaging an acoustic waveguide from surface data in the time domain
Article dans une revue Published on 01/01/2016 co-written by Vahan Baronian, Laurent Bourgeois, Arnaud Recoquillay -
Uniqueness results for inverse Robin problems with bounded coefficient
Article dans une revue Published on 01/01/2016 co-written by Laurent Baratchart, Laurent Bourgeois, Juliette Leblond -
Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1d case
Article dans une revue Published on 01/01/2015 co-written by Eliane Bécache, Laurent Bourgeois, Lucas Franceschini, Jérémi Dardé -
Uniqueness results for 2D inverse Robin problems with bounded coefficient
Rapport Published on 01/01/2015 co-written by Laurent Baratchart, Laurent Bourgeois, Juliette Leblond -
On the identification of defects in a periodic waveguide from far field data
Article dans une revue Published on 01/08/2014 co-written by Laurent Bourgeois, Sonia Fliss -
The "exterior approach" to solve the inverse obstacle problem for the Stokes system
Article dans une revue Published on 01/01/2014 co-written by Laurent Bourgeois, Jérémi Dardé -
A remark on Lipschitz stability for inverse problems
Article dans une revue Published on 01/01/2013 by Laurent Bourgeois -
On the use of the Linear Sampling Method to identify cracks in elastic waveguides
Article dans une revue Published on 01/01/2013 co-written by Laurent Bourgeois, Éric Lunéville -
A remark on Lipschitz stability for inverse problems
Rapport Published on 15/10/2012 by Laurent Bourgeois -
On Simultaneous Identification of the Shape and Generalized Impedance Boundary Condition in Obstacle Scattering
Article dans une revue Published on 01/01/2012 co-written by Laurent Bourgeois, Nicolas Chaulet, Houssem Haddar -
On the use of sampling methods to identify cracks in acoustic waveguides
Article dans une revue Published on 01/01/2012 co-written by Laurent Bourgeois, Éric Lunéville -
On simultaneous identification of a scatterer and its generalized impedance boundary condition
Rapport Published on 10/06/2011 co-written by Laurent Bourgeois, Nicolas Chaulet, Houssem Haddar -
About identification of defects in an elastic-plastic medium from boundary measurements in the antiplane case
Article dans une revue Published on 01/01/2011 co-written by Laurent Bourgeois, Jérémi Dardé -
On the use of Lamb modes in the linear sampling method for elastic waveguides
Article dans une revue Published on 01/01/2011 co-written by Laurent Bourgeois, Frédérique Le Louër, Éric Lunéville -
Stable reconstruction of generalized impedance boundary conditions
Article dans une revue Published on 01/01/2011 co-written by Laurent Bourgeois, Nicolas Chaulet, Houssem Haddar -
Identification of generalized impedance boundary conditions: some numerical issues
Rapport Published on 08/11/2010 co-written by Laurent Bourgeois, Nicolas Chaulet, Houssem Haddar -
A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data
Article dans une revue Published on 01/01/2010 co-written by Laurent Bourgeois, Jérémi Dardé -
A quasi-reversibility approach to solve the inverse obstacle problem
Article dans une revue Published on 01/01/2010 co-written by Laurent Bourgeois, Jérémi Dardé -
About stability and regularization of ill-posed elliptic Cauchy problems: The case of C1,1 domains
Article dans une revue Published on 01/01/2010 by Laurent Bourgeois -
About stability and regularization of ill-posed elliptic Cauchy problems: The case of Lipschitz domains
Article dans une revue Published on 01/01/2010 co-written by Laurent Bourgeois, Jérémi Dardé -
Identification of generalized impedance boundary conditions in inverse scattering problems
Article dans une revue Published on 01/01/2010 co-written by Laurent Bourgeois, Houssem Haddar -
Conditional stability for ill-posed elliptic Cauchy problems : the case of $C^{1,1}$ domains (part I)
Rapport Published on 01/01/2008 by Laurent Bourgeois -
Conditional stability for ill-posed elliptic Cauchy problems : the case of Lipschitz domains (part II)
Rapport Published on 01/01/2008 co-written by Laurent Bourgeois, Jérémi Dardé -
Identification of generalized impedance boundary conditions in inverse scattering problems
Rapport Published on 01/01/2008 co-written by Laurent Bourgeois, Houssem Haddar -
The linear sampling method in a waveguide: A formulation based on modes
Article dans une revue Published on 01/01/2008 co-written by Laurent Bourgeois, Éric Lunéville -
The linear sampling method in a waveguide: A modal formulation
Article dans une revue Published on 01/01/2008 co-written by Laurent Bourgeois, Éric Lunéville -
A stability estimate for ill-posed elliptic Cauchy problems in a domain with corners
Article dans une revue Published on 01/01/2007 by Laurent Bourgeois -
Locating an obstacle in a 3D finite depth ocean using the convex scattering support
Article dans une revue Published on 01/01/2007 co-written by Laurent Bourgeois, Colin Chambeyron, Steven Kusiak -
Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation
Article dans une revue Published on 01/01/2006 by Laurent Bourgeois -
A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
Article dans une revue Published on 01/01/2005 by Laurent Bourgeois -
Optimal control applied to inverse problems in elastoplasticity
Communication dans un congrès Published on 01/01/1998 co-written by Laurent Bourgeois, Claude Stolz