J. Amel-ben-abda, F. Henry, and . Jday, Boundary data completion: the method of boundary value problem factorization, Inverse Problems, vol.27, issue.5, p.55014, 2011.

R. Aboulaich, A. Ben-abda, and M. Kallel, Missing boundary data reconstruction via an approximate optimal control, Inverse Problems & Imaging, vol.2, issue.4, pp.411-426, 2008.

R. Aboulaich, A. Ben-abda, and M. Kallel, A control type method for solving the cauchy-stokes problem, Applied mathematical modelling, vol.37, issue.6, pp.4295-4304, 2013.

R. Aboulaich, N. Fikal, N. El-guarmah, and . Zemzemi, Stochastic finite element method for torso conductivity uncertainties quantification in electrocardiography inverse problem, Mathematical Modelling of Natural Phenomena, vol.11, issue.2, pp.1-19, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01289144

S. Andrieux, A. Ben-abda, and T. Baranger, Data completion via an energy error functional, Comptes Rendus Mécanique, vol.333, issue.2, pp.171-177, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00086964

M. Azaïez, H. E. Faker-ben-belgacem, and . Fekih, On cauchy's problem: Ii. completion, regularization and approximation, Inverse problems, vol.22, issue.4, p.1307, 2006.

C. Roger, M. Barr, I. Ramsey, and M. Spach, Relating epicardial to body surface potential distributions by means of transfer coefficients based on geometry measurements, Biomedical Engineering, pp.1-11, 1977.

L. Bear, M. Potse, J. Duchateau, N. Zemzemi, Y. Coudière et al., Accuracy of lead removal vs linear interpolation in non-invasive electrocardiographic imaging (ecgi), Computing in Cardiology Conference (CinC), 2014.
URL : https://hal.archives-ouvertes.fr/hal-01241752

R. E. Bellman and H. Osborn, Dynamic programming and the variation of Green's functions. RAND Corporation, 1957.

J. Bouyssier, N. Zemzemi, and J. Henry, Inverse problem in electrocardiography via factorization method of boundary problems: how reconstruct epicardial potential maps from measurements of the torso?, International Symposium on Biomedical Imaging (ISBI), 2015.
URL : https://hal.archives-ouvertes.fr/hal-00926344

. John-e-burnes, C. David, B. Kaelber, . Taccardi, L. Robert et al., A field-compatible method for interpolating biopotentials, Annals of biomedical engineering, vol.26, issue.1, pp.37-47, 1998.

A. Chakib and . Nachaoui, Convergence analysis for finite element approximation to an inverse cauchy problem, Inverse Problems, vol.22, issue.4, p.1191, 2006.

A. Ghodrati, H. Dana, R. Brooks, and . Macleod, Methods of solving reduced lead systems for inverse electrocardiography, Biomedical Engineering, vol.54, issue.2, pp.339-343, 2007.

J. Hadamard, Lectures on Cauchy's problem in linear partial differential equations, Courier Corporation, 2014.

N. Hariga-tlatli, J. Baranger, and . Erhel, Misfit functional for recovering data in 2d electrocardiography problems, Engineering Analysis with Boundary Elements, vol.34, issue.5, pp.492-500, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00489550

J. Henry and . Ramos, Factorization of second-order elliptic boundary value problems by dynamic programming, Nonlinear Analysis: Theory, Methods & Applications, vol.59, pp.629-647, 2004.

J. Henry and . Angel-m-ramos, Study of the initial value problems appearing in a method of factorization of second-order elliptic boundary value problems, Nonlinear Analysis: Theory, Methods & Applications, vol.68, pp.2984-3008, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00402387

J. Henry and . Angel-m-ramos, La méthode de factorisation des problèmes aux limites par plongement invariant, 2016.

F. Jday, Complétion de données frontieres: la méthode de plongement invariant, 2012.

V. Arkad'evich-kozlov, V. G. Maz'ya, and A. V. Fomin, An iterative method for solving the cauchy problem for elliptic equations, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, vol.31, issue.1, pp.64-74, 1991.

J. , L. Lions, and E. Magenes, Problemes aux limites non homogenes et applications. Dunod, 1968.

A. Vladimir, M. Morozov, and . Stessin, Regularization methods for ill-posed problems, 1993.

A. Thom-f-oostendorp, G. Van-oosterom, and . Huiskamp, Interpolation on a triangulated 3d surface, Journal of Computational Physics, vol.80, issue.2, pp.331-343, 1989.

A. N. Tikhonov and V. Arsenin, Solutions of ill-posed problems, 1977.

Y. Wang and Y. Rudy, Application of the method of fundamental solutions to potential-based inverse electrocardiography, Annals of biomedical engineering, vol.34, issue.8, pp.1272-1288, 2006.

N. Zemzemi, A steklov-poincaré variational formulation of the inverse problem in cardiac electrophysiology, CinCComputing in Cardiology Conference, p.193, 2013.

N. Zemzemi, H. Bourenane, and H. Cochet, An iterative method for solving the inverse problem in electrocardiography imaging: From body surface to heart potential, Computing in Cardiology Conference (CinC), pp.717-720, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01065107