Méthode de quasi-réversibilité et applications, 1967. ,
A quasi-reversibility approach to solve the inverse obstacle problem, Inverse Problems and Imaging, vol.4, issue.3, pp.351-377, 2010. ,
DOI : 10.3934/ipi.2010.4.351
URL : https://hal.archives-ouvertes.fr/hal-00873059
A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation, Inverse Problems, vol.21, issue.3, pp.1087-1104, 2005. ,
DOI : 10.1088/0266-5611/21/3/018
An $H_\mathsf{div}$-Based Mixed Quasi-reversibility Method for Solving Elliptic Cauchy Problems, SIAM Journal on Numerical Analysis, vol.51, issue.4, pp.2123-2148, 2013. ,
DOI : 10.1137/120895123
The " exterior approach " to solve the inverse obstacle problem for the Stokes system, Inverse Problems and Imaging, vol.8, pp.23-51, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00937768
An Introduction to the Mathematical Theory of Inverse Problems, 1996. ,
An observability estimate for parabolic equations from a measurable set in time and its applications, Journal of the European Mathematical Society, vol.15, issue.2, pp.681-703, 2013. ,
DOI : 10.4171/JEMS/371
URL : https://hal.archives-ouvertes.fr/hal-00625082
Improperly Posed Problems in Partial Differential Equations " SIAM, Philadelphia, 1975. ,
Oppenheimer Quasireversibility Methods for Non-Well-Posed Problems, Elect, J. of Diff. Eqns, vol.8, pp.1-9, 1994. ,
Payne Continuous Dependence on Modeling for Some Well-posed Perturbations of Backward Heat Equation, J. of Inequal. & Appl, vol.3, pp.51-64, 1999. ,
Linear Partial Differential Operators, Fourth Printing, 1976. ,
Shlapunov On an Ill-Posed Problem for the Heat Equation, Mathematical & Physics, vol.5, issue.3, pp.337-348, 2012. ,
Carleman Estimates for Coefficient Inverse Problems and Numerical Applications (Inverse and Ill-Posed Problems) De Gruyter, 2004. ,
On the numerical solution of an inverse boundary value problem for the heat equation, Inverse Problems, vol.14, issue.4, pp.853-867, 1998. ,
DOI : 10.1088/0266-5611/14/4/006
On the Numerical Solution of a Shape Optimization Problem for the Heat Equation, SIAM Journal on Scientific Computing, vol.35, issue.1, pp.104-121, 2013. ,
DOI : 10.1137/110855703
The enclosure method for the heat equation, Inverse Problems, vol.25, issue.7, p.75005, 2009. ,
DOI : 10.1088/0266-5611/25/7/075005
The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium, SIAM Journal on Scientific Computing, vol.30, issue.1, pp.1-23, 2008. ,
DOI : 10.1137/06066970X
Inverse obstacle problems, Inverse Problems, vol.25, issue.12, p.123002, 2009. ,
DOI : 10.1088/0266-5611/25/12/123002
A sampling method for inverse scattering in the time domain, Inverse Problems, vol.26, issue.8, p.85001, 2010. ,
DOI : 10.1088/0266-5611/26/8/085001
URL : https://hal.archives-ouvertes.fr/hal-00739329
The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval, Inverse Problems, vol.26, issue.5, p.55010, 2010. ,
DOI : 10.1088/0266-5611/26/5/055010
Chandler-Wilde A time domain point source method for inverse scattering by rough surfaces, Computing, pp.75-157, 2005. ,
Kray A new approach to solve the inverse scattering problem for waves: combining the TRAC and the adaptive inverse methods, Inverse Problems, issue.24pp, pp.29-085009, 2013. ,
The Finite Element Method for Elliptic Problems, North Holland, 1978. ,
Analyse fonctionnelle, Théorie et applications, 1999. ,
A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data, Inverse Problems, vol.26, issue.9, p.95016, 2010. ,
DOI : 10.1088/0266-5611/26/9/095016
URL : https://hal.archives-ouvertes.fr/hal-00873058
About stability and regularization of ill-posed elliptic Cauchy problems: the case of C1,1 domains, pp.44-715, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00873056
Mixed and Hybrid Finite Element Methods, 1991. ,
DOI : 10.1007/978-1-4612-3172-1
Theory and Practice of Finite Elements, 2004. ,
DOI : 10.1007/978-1-4757-4355-5