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Méthodes de quasi-réversibilité et de lignes de niveau appliquées aux problèmes inverses elliptiques.
Jérémi Dardé
Mathématiques [math]. Université Paris-Diderot - Paris VII, 2010. Français. ⟨NNT : ⟩
Theses
tel-00551853v1
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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
Journal articles
hal-01235099v1
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A quasi-reversibility approach to solve the inverse obstacle problem
Laurent Bourgeois
,
Jérémi Dardé
Journal articles
hal-00873059v1
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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
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The "exterior approach" applied to the inverse obstacle problem for the heat equation
Laurent Bourgeois
,
Jérémi Dardé
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
Journal articles
hal-01818956v1
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On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
Laurent Bourgeois
,
Lucas Chesnel
Journal articles
hal-02385487v1
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About stability and regularization of ill-posed elliptic Cauchy problems: The case of C1,1 domains
Laurent Bourgeois
Journal articles
hal-00873056v1
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A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems
Laurent Bourgeois
,
Arnaud Recoquillay
Journal articles
hal-02922747v1
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