K. Atkinson and E. Venturino, Numerical Evaluation of Line Integrals, SIAM Journal on Numerical Analysis, vol.30, issue.3, pp.882-888, 1993.
DOI : 10.1137/0730046

E. Beretta and M. Vogelius, An inverse problem originating from magnetohydrodynamics . III. Domains with corners of arbitrary angles, Asymptotic Anal, vol.11, issue.3, pp.289-315, 1995.

J. Blum, Numerical simulation and optimal control in plasma physics

D. Braess, Finite Elements: Theory, fast solvers and applications in solid mechanics, 2nd edn, Measurement Science and Technology, vol.13, issue.9, 2007.
DOI : 10.1088/0957-0233/13/9/704

P. G. Ciarlet, Basic error estimates for elliptic problems In Handbook of numerical analysis, Handb. Numer. Anal., II, vol.II, pp.17-351, 1991.

L. Demkowicz, Computing with hp-adaptive finite elements One and two dimensional elliptic and Maxwell problems, CRC Applied Mathematics and Nonlinear Science Series. Chapman & Hall/CRC, vol.1, p.1, 2007.

B. Engquist, A. Tornberg, and R. Tsai, Discretization of Dirac delta functions in level set methods, Journal of Computational Physics, vol.207, issue.1, pp.28-51, 2005.
DOI : 10.1016/j.jcp.2004.09.018

H. Federer, Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften, 1969.

. Ph, . Frauenfelder, . Ch, and . Lage, Concepts ? An Object-Oriented Software Package for Partial Differential Equations, ESAIM: Math. Model. Numer. Anal, vol.36, issue.5, pp.937-951, 2002.

T. Fries and S. Omerovic, Higher-order accurate integration of implicit geometries, International Journal for Numerical Methods in Engineering, vol.21, issue.3, pp.323-371
DOI : 10.1002/nme.5121

J. P. Goedbloed and S. Poedts, Principles of magnetohydrodynamics: with applications to laboratory and astrophysical plasmas, 2004.
DOI : 10.1017/CBO9780511616945

H. Grad and J. Hogan, Classical Diffusion in a Tokomak, Physical Review Letters, vol.24, issue.24, pp.1337-1340, 1970.
DOI : 10.1103/PhysRevLett.24.1337

H. Grad and H. Rubin, Hydromagnetic equilibria and force-free fields, Proceedings of the 2nd UN Conf. on the Peaceful Uses of Atomic Energy, p.190, 1958.
DOI : 10.1016/0891-3919(58)90139-6

H. Heumann, J. Blum, C. Boulbe, B. Faugeras, G. Selig et al., Quasi-static free-boundary equilibrium of toroidal plasma with CEDRES++: Computational methods and applications, Journal of Plasma Physics, vol.6, issue.03, p.2015
DOI : 10.1016/j.fusengdes.2011.03.092
URL : https://hal.archives-ouvertes.fr/hal-01088772

F. L. Hinton and R. D. Hazeltine, Theory of plasma transport in toroidal confinement systems, Reviews of Modern Physics, vol.48, issue.2, pp.239-308, 1976.
DOI : 10.1103/RevModPhys.48.239

S. C. Jardin, Computational methods in plasma physics, 2010.
DOI : 10.1201/EBK1439810958

P. Knabner and L. Angermann, Numerical methods for elliptic and parabolic partial differential equations, Texts in Applied Mathematics, vol.44, 2003.

J. Lee and A. Cerfon, ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria, Computer Physics Communications, vol.190, issue.0, pp.72-88, 2015.
DOI : 10.1016/j.cpc.2015.01.015

W. E. Lorensen and H. E. Cline, Marching cubes: A high resolution 3D surface construction algorithm, ACM SIGGRAPH Computer Graphics, vol.21, issue.4, pp.163-169, 1987.
DOI : 10.1145/37402.37422

R. Lüst and A. Schlüter, Axialsymmetrische magnetohydrodynamische Gleichgewichtskonfigurationen, Zeitschrift f??r Naturforschung A, vol.12, issue.10, pp.850-854, 1957.
DOI : 10.1515/zna-1957-1014

H. Lütjens, A. Bondeson, and O. Sauter, The CHEASE code for toroidal MHD equilibria, Computer Physics Communications, vol.97, issue.3, pp.219-260, 1996.
DOI : 10.1016/0010-4655(96)00046-X

C. Min and F. Gibou, Geometric integration over irregular domains with application to level-set methods, Journal of Computational Physics, vol.226, issue.2, pp.1432-1443, 2007.
DOI : 10.1016/j.jcp.2007.05.032

T. S. Newman and H. Yi, A survey of the marching cubes algorithm, Computers & Graphics, vol.30, issue.5, pp.854-879, 2006.
DOI : 10.1016/j.cag.2006.07.021

B. A. Payne and A. W. Toga, Surface mapping brain function on 3D models, IEEE Computer Graphics and Applications, vol.10, issue.5, pp.33-41, 1990.
DOI : 10.1109/38.59034

K. Schmidt and P. Kauf, Computation of the band structure of two-dimensional photonic crystals with hp finite elements, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.13-14, pp.1249-1259, 2009.
DOI : 10.1016/j.cma.2008.06.009
URL : https://hal.archives-ouvertes.fr/hal-00974812

C. Schwab, p-and hp-finite element methods : theory and applications in solid and fluid mechanics, 2004.

V. D. Shafranov, On magnetohydrodynamical equilibrium configurations, Soviet Journal of Experimental and Theoretical Physics, vol.6, p.545, 1958.

P. Shirley and A. Tuchman, A polygonal approximation to direct scalar volume rendering, ACM SIGGRAPH Computer Graphics, vol.24, issue.5, pp.63-70, 1990.
DOI : 10.1145/99308.99322

G. Vigfússon, The averaged Green function with applications to quasi-static plasma equilibrium, 1977.

G. Vigfússon, The queer differential equations for adiabatic compression of plasma, Bulletin of the American Mathematical Society, vol.1, issue.5, pp.778-781, 1979.
DOI : 10.1090/S0273-0979-1979-14664-0

L. B. Wahlbin, Local behavior in finite element methods In Finite Element Methods (Part 1), volume 2 of Handbook of Numerical Analysis, pp.353-522, 1991.

M. Wang, C. Engström, K. Schmidt, and C. Hafner, On highorder FEM applied to canonical scattering problems in plasmonics, J. Comput. Theor. Nanosci, vol.8, pp.1-9, 2011.