Inverse problems:
mathematical analysis and numerical algorithms
(M2
course, UPMC  X)
Responsables : H. Haddar and L. Bourgeois
 Inverse problems: prototypes and examples (slides)
 Regularization of linear illposed problems.
 Illposed Cauchy problems: unique continuation, stability and algorithms.
 Non linear inverse problems and optimization methods.
 The factorization method and application to impedance tomography
Bibliographie
 An Introduction to the Mathematical Theory of Inverse Problems, A. Kirsch
(Springer, 1996)
 Regularization of Inverse Problems, H.W. Engl, M. Hanke and
A. Neubauer (Kluwer Academic Publisher, 2000)

The Factorization Method for Inverse Problems, A. Kirsch and N. Grinberg (OUP
Oxford, 2008)
 A direct
impedance tomography algorithm for locating small inhomogeneities, M. Bruhl,
M. Hanke and M.S. Vogelius (Numer. Math. 93 (2003), 635654)
 Numerical
analysis of the Factorization Method for Electrical Impedance Tomography in
inhomogeneous medium , H. Haddar and G. Migliorati (Rapport de Recherche
RR7801, INRIA, 2011)
Annales des examens
Last modified: Thu Apr 25 10:37:33 CEST 2013