V. Baronian, L. Bourgeois, and A. Recoquillay, 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

E. Bécache, L. Bourgeois, L. Franceschini, and J. Dardé, 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.

F. B. Belgacem, Why is the Cauchy problem severely ill-posed?, Inverse Probl, vol.23, pp.823-836, 2007.

L. Bourgeois, A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation, Inverse Probl, vol.21, pp.1087-1104, 2005.

L. Bourgeois and J. Dardé, 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

L. Bourgeois and J. Dardé, 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

L. Bourgeois and J. Dardé, 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

L. Bourgeois and E. Lunéville, 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

L. Bourgeois, C. Chambeyron, and S. Kusiak, 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.

F. Brezzi and M. Fortin, of Springer Series in Computational Mathematics, vol.15, 1991.

M. Burger and S. J. Osher, A survey on level set methods for inverse problems and optimal design, Eur. J. Appl. Math, vol.16, pp.263-301, 2005.

E. Burman, 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.

E. Burman, The elliptic Cauchy problem revisited: control of boundary data in natural norms, C. R. Math. Acad. Sci. Paris, vol.355, pp.479-484, 2017.

E. Burman, A stabilized nonconforming finite element method for the elliptic Cauchy problem, Math. Comp, vol.86, pp.75-96, 2017.

A. Charalambopoulos, D. Gintides, K. Kiriaki, and A. Kirsch, The factorization method for an acoustic wave guide, Mathematical Methods in Scattering Theory and Biomedical Engineering. World Sci. Publ, pp.120-127, 2006.

N. Cîndea and A. Münch, Inverse problems for linear hyperbolic equations using mixed formulations, Inverse Probl, vol.31, p.75001, 2015.

C. Clason and M. V. Klibanov, The quasi-reversibility method for thermoacoustic tomography in a heterogeneous medium, SIAM J. Sci. Comput, vol.30, pp.1-23, 2007.

J. Dardé, Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems, Inverse Probl. Imaging, vol.10, pp.379-407, 2016.

J. Dardé, A. Hannukainen, and N. Hyvönen, An H div -based mixed quasi-reversibility method for solving elliptic Cauchy problems, SIAM J. Numer. Anal, vol.51, pp.2123-2148, 2013.

A. Ern and J. Guermond, Theory and Practice of Finite Elements, vol.159, 2004.

A. Henrot and M. Pierre, Variation et optimisation de formes: une analyse géométrique

, of Mathématiques & Applications (Berlin), vol.48

V. Isakov, of Applied Mathematical Sciences, second edn, Inverse Problems for Partial Differential Equations, vol.127, 2006.

K. Ito and B. Jin, Inverse Problems: Tikhonov Theory and Algorithms, vol.22, 2015.

A. Kirsch, An Introduction to the Mathematical Theory of Inverse Problems, vol.120, 1996.

M. V. Klibanov and F. Santosa, A computational quasi-reversibility method for Cauchy problems for Laplace's equation, SIAM J. Appl. Math, vol.51, pp.1653-1675, 1991.

R. Lattès and J. Lions, Méthode de quasi-réversibilité et applications, Travaux et Recherches Mathématiques, 1967.

K. Liu, Y. Xu, and J. Zou, Imaging wave-penetrable objects in a finite depth ocean, Appl. Math. Comput, vol.235, pp.364-376, 2014.

W. Mclean, Strongly Elliptic Systems and Boundary Integral Equations, 2000.

P. Monk and V. Selgas, An inverse acoustic waveguide problem in the time domain, Inverse Probl, vol.32, p.55001, 2016.

P. Stefanov and G. Uhlmann, Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering, Proc. Am. Math. Soc, vol.132, pp.1351-1354, 2004.