Imaging an acoustic waveguide from surface data in the time domain, Wave Motion, vol.66, pp.68-87, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01379890
Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1D case, Inverse Probl. Imaging, vol.9, pp.971-1002, 2015. ,
Why is the Cauchy problem severely ill-posed?, Inverse Probl, vol.23, pp.823-836, 2007. ,
A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation, Inverse Probl, vol.21, pp.1087-1104, 2005. ,
A quasi-reversibility approach to solve the inverse obstacle problem, Inverse Probl. Imaging, vol.4, pp.351-377, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00873059
The "exterior approach" to solve the inverse obstacle problem for the Stokes system, Inverse Probl. Imaging, vol.8, pp.23-51, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00937768
The "exterior approach" applied to the inverse obstacle problem for the heat equation, SIAM J. Numer. Anal, vol.55, pp.1820-1842, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01366850
The linear sampling method in a waveguide: a modal formulation, Inverse Probl, vol.24, p.15018, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00876221
Locating an obstacle in a 3d finite depth ocean using the convex scattering support, The Seventh International Conference on Mathematical and Numerical Aspects of Waves (WAVES05) ,
URL : https://hal.archives-ouvertes.fr/hal-00876231
, J. Comput. Appl. Math, vol.204, pp.387-399, 2007.
, of Springer Series in Computational Mathematics, vol.15, 1991.
A survey on level set methods for inverse problems and optimal design, Eur. J. Appl. Math, vol.16, pp.263-301, 2005. ,
Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. Part I: Elliptic equations, SIAM J. Sci. Comput, vol.35, pp.2752-2780, 2013. ,
The elliptic Cauchy problem revisited: control of boundary data in natural norms, C. R. Math. Acad. Sci. Paris, vol.355, pp.479-484, 2017. ,
A stabilized nonconforming finite element method for the elliptic Cauchy problem, Math. Comp, vol.86, pp.75-96, 2017. ,
The factorization method for an acoustic wave guide, Mathematical Methods in Scattering Theory and Biomedical Engineering. World Sci. Publ, pp.120-127, 2006. ,
Inverse problems for linear hyperbolic equations using mixed formulations, Inverse Probl, vol.31, p.75001, 2015. ,
The quasi-reversibility method for thermoacoustic tomography in a heterogeneous medium, SIAM J. Sci. Comput, vol.30, pp.1-23, 2007. ,
Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems, Inverse Probl. Imaging, vol.10, pp.379-407, 2016. ,
An H div -based mixed quasi-reversibility method for solving elliptic Cauchy problems, SIAM J. Numer. Anal, vol.51, pp.2123-2148, 2013. ,
, Theory and Practice of Finite Elements, vol.159, 2004.
, Variation et optimisation de formes: une analyse géométrique
, of Mathématiques & Applications (Berlin), vol.48
of Applied Mathematical Sciences, second edn, Inverse Problems for Partial Differential Equations, vol.127, 2006. ,
, Inverse Problems: Tikhonov Theory and Algorithms, vol.22, 2015.
, An Introduction to the Mathematical Theory of Inverse Problems, vol.120, 1996.
A computational quasi-reversibility method for Cauchy problems for Laplace's equation, SIAM J. Appl. Math, vol.51, pp.1653-1675, 1991. ,
Méthode de quasi-réversibilité et applications, Travaux et Recherches Mathématiques, 1967. ,
Imaging wave-penetrable objects in a finite depth ocean, Appl. Math. Comput, vol.235, pp.364-376, 2014. ,
, Strongly Elliptic Systems and Boundary Integral Equations, 2000.
An inverse acoustic waveguide problem in the time domain, Inverse Probl, vol.32, p.55001, 2016. ,
Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering, Proc. Am. Math. Soc, vol.132, pp.1351-1354, 2004. ,