D. Lee and Y. M. Peng, An approach to rapid plasma shape diagnostics in tokamaks, Journal of Plasma Physics, vol.22, issue.01, p.161, 1981.
DOI : 10.1063/1.861186

G. Deshko, T. Kilovataya, Y. Kuznetsov, V. Pyatov, and I. Yasin, Determination of the plasma column shape in a tokamak from magnetic measurements, Nuclear Fusion, vol.23, issue.10, p.1309, 1983.
DOI : 10.1088/0029-5515/23/10/005

S. Bondarenko, Measurement of the shape of the plasma column in the Tuman-3 Tokamak, Sov. J. Plasma Phys, vol.10, p.520, 1984.

F. Alladio and F. Crisanti, Analysis of MHD equilibria by toroidal multipolar expansions, Nuclear Fusion, vol.26, issue.9, p.1143, 1986.
DOI : 10.1088/0029-5515/26/9/002

K. Kurihara, Improvement of Tokamak Plasma Shape Identification with a Legendre-Fourier Expansion of the Vacuum Poloidal Flux Function, Fusion Science and Technology, vol.22, issue.3, p.334, 1992.
DOI : 10.13182/FST22-334-349

B. Van-milligen, A. Lopez, and . Fraguas, Expansion of vacuum magnetic fields in toroidal harmonics, Computer Physics Communications, vol.81, issue.1-2, p.74, 1994.
DOI : 10.1016/0010-4655(94)90112-0

Y. Fischer, Approximation dans des classes de fonctions analytiques généralisées et résolution de problèmes inverses pour les tokamaks, 2011.

B. Faugeras, J. Blum, C. Boulbe, P. Moreau, and E. Nar-don, 2D interpolation and extrapolation of discrete magnetic measurements with toroidal harmonics for equilibrium reconstruction in a tokamak, Plasma Physics and Controlled Fusion, vol.56, issue.11, p.114010, 2014.
DOI : 10.1088/0741-3335/56/11/114010

URL : https://hal.archives-ouvertes.fr/hal-00862399

B. Braams, The interpretation of tokamak magnetic diagnostics, Plasma Physics and Controlled Fusion, vol.33, issue.7, p.715, 1991.
DOI : 10.1088/0741-3335/33/7/001

J. Bucalossi, Feasibility study of an actively cooled tungsten divertor in Tore Supra for ITER technology testing, Fusion Engineering and Design, vol.86, issue.6-8
DOI : 10.1016/j.fusengdes.2011.01.114

H. Heumann, Quasi-static free-boundary equilibrium of toroidal plasma with CEDRES++: Computational methods and applications, Journal of Plasma Physics, vol.6, issue.03, 2015.
DOI : 10.1016/j.fusengdes.2011.03.092

URL : https://hal.archives-ouvertes.fr/hal-01088772

R. Kohn and M. Vogelius, Determining conductivity by boundary measurements II. Interior results, Communications on Pure and Applied Mathematics, vol.56, issue.5, p.643, 1985.
DOI : 10.1002/cpa.3160380513

B. Faugeras, A. Ben-abda, J. Blum, and C. Boulbe, Minimization of an energy error functional to solve a Cauchy problem arising in plasma physics: the reconstruction of the magnetic flux in the vacuum surrounding the plasma in a Tokamak, ARIMA, vol.15, p.37, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00481257

J. Blum, Identification of free boundaries and non-linearities for elliptic partial differential equations arising from plasma physics, Proc. Proceedings of the IFIP WG 7.2 Working Conference. Lecture Notes in Control and Information Sciences. Control of Partial Differential Equations, pp.11-22, 1987.
DOI : 10.1007/BFb0002576

J. Blum, Numerical Simulation and Optimal Control in Plasma Physics with Applications to Tokamaks, Series in Modern Applied Mathematics, 1989.

W. Feneberg, K. Lackner, and P. Martin, Fast control of the plasma surface, Computer Physics Communications, vol.31, issue.2-3, p.143, 1984.
DOI : 10.1016/0010-4655(84)90041-9

S. Hakkarainen and J. Freidberg, Reconstruction of vacuum flux surfaces from diagnostic measurements in a tokamak, Massachussetts Institute of Technology, 1987.

K. Kurihara, Tokamak plasma shape identification on the basis of boundary integral equations, Nuclear Fusion, vol.33, issue.3, p.399, 1993.
DOI : 10.1088/0029-5515/33/3/I03

K. Kurihara, A new shape reproduction method based on the Cauchy-condition surface fro real-time tokamak reactor control Fus

B. Braams, Computational studies in Tokamak equilibrium and transport, 1986.

V. Shafranov and L. Zakharov, Use of the virtual-casing principle in calculating the containing magnetic field in toroidal plasma systems, Nuclear Fusion, vol.12, issue.5, p.599, 1972.
DOI : 10.1088/0029-5515/12/5/009

J. Segura and A. Gil, Evaluation of toroidal harmonics, Computer Physics Communications, vol.124, issue.1, p.104, 2000.
DOI : 10.1016/S0010-4655(99)00428-2

L. Zakharov and V. Shafranov, Equilibrium of a Toroidal Plasma with Non-circular Cross Section, Sov. Phys. Tech. Phys, vol.18, p.151, 1973.

P. Ciarlet, The Finite Element Method For Elliptic Problems, 1980.

C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion, SIAM, 1998.
DOI : 10.1137/1.9780898719697

F. Zaitsev, Mathematical modeling of toroidal plasma evolution, 2014.