[32] R. Albanese, J. Blum, O. Barbieri, On the solution of the magnetic flux equation in an infinite domain, in: EPS. 8th Europhysics Conference on Computing in Plasma Physics (1986), 1986, pp. 41–44.

906

[33] H. Heumann, F. Rapetti, A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries, J. Comput. Phys. 334 (2017) 522–540.

908

910

[34] E. Witrant, E. Joffrin, S. Brémond, G. Giruzzi, D. Mazon, O. Barana, P. Moreau, A control-oriented model of the current profile in tokamak plasma, Plasma Physics and Controlled Fusion 49 (7) (2007) 1075. URL http://stacks.iop.org/0741-3335/49/i=7/a=009

912

914

[35] F. Felici, O. Sauter, S. Coda, B. Duval, T. Goodman, J.-M. Moret, J. Paley, the TCV Team, Real-time physics-model-based simulation of the current density profile in tokamak plasmas, Nuclear Fusion 51 (8) (2011) 083052. doi:10.1088/0029-5515/51/8/083052. URL https://dx.doi.org/10.1088/0029-5515/51/8/083052

916

918

[36] G. Pereverzev, P. Yushmanov, ASTRA Automated System for TRansport Analysis, Ipp report 5/98, Max-Planck-Institut fur Plasmaphysik (Feb. 2002).

920

922

[37] J. Artaud, V. Basiuk, F. Imbeaux, M. Schneider, J. Garcia, G. Giruzzi, P. Huynh, T. Aniel, F. Albajar, J. Ané, A. Bécoulet, C. Bourdelle, A. Casati, L. Colas, J. Decker, R. Dumont, L. Eriksson, X. Garbet, R. Guirlet, P. Hertout, G. Hoang, W. Houlberg, G. Huysmans, E. Joffrin, S. Kim, F. Köchl, J. Lister, X. Litaudon, P. Maget, R. Masset, B. Pégourié, Y. Peysson, P. Thomas, E. Tsitrone, F. Turco, The CRONOS suite of codes for integrated tokamak modelling, Nuclear Fusion 50 (4) (2010) 043001.

924

926

928

930

[38] D. Coster, V. Basiuk, G. Pereverzev, D. Kalupin, R. Zagorksi, R. Stankiewicz, P. Huynh, F. Imbeaux, The european transport solver, Plasma Science, IEEE Transactions on 38 (9) (2010) 2085–2092. doi: 10.1109/TPS.2010.2056707.

932

934

[39] D. Kalupin, I. Ivanova-Stanik, I. Voitsekhovitch, J. Ferreira, D. Coster, L. Alves, T. Aniel, J. Artaud, V. Basiuk, J. P. Bizarro, R. Coelho,

936
938

940

942

A. Czarnecka, P. Huynh, A. Figueiredo, J. Garcia, L. Garzotti, F. Imbeaux, F. Kochl, M. Nave, G. Pereverzev, O. Sauter, B. Scott, R. Stankiewicz, P. Strand, I.-T. contributors, J.-E. Contributors, Numerical analysis of JET discharges with the European Transport Simulator, Nuclear Fusion 53 (12) (2013) 123007. doi:10.1088/0029-5515/53/12/123007.
URL https://dx.doi.org/10.1088/0029-5515/53/12/123007

944

946

948

[40] R. Khayrutdinov, V. Lukash, Studies of plasma equilibrium and transport in a tokamak fusion device with the inverse-variable technique, Journal of Computational Physics 109 (2) (1993) 193 – 201. doi:10.1006/jcph.1993.1211.
URL http://www.sciencedirect.com/science/article/pii/S0021999183712118

950

952

[41] D. Kalupin, G. Pereverzev, R. Stankiewicz, European Transport Simulator: transport equations, variables and Fortran implementation, Technical documentation, Eurofusion ((revision 01.10.2015) 2015).

954

956

[42] O. Sauter, C. Angioni, Y. R. Lin-Liu, Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime, Physics of Plasmas 6 (7) (1999) 2834–2839. doi:10.1063/1.873240.
URL https://doi.org/10.1063/1.873240

958

960

962

[43] O. Sauter, C. Angioni, Y. R. Lin-Liu, Erratum: "neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime" [phys. plasmas 6, 2834 (1999)], Physics of Plasmas 9 (12) (2002) 5140–5140. doi:10.1063/1.1517052.
URL https://doi.org/10.1063/1.1517052

964

966

[44] O. Sauter, Geometric formulas for system codes including the effect of negative triangularity, Fusion Engineering and Design 112 (2016) 633–645. doi:https://doi.org/10.1016/j.fusengdes.2016.04.033.
URL https://www.sciencedirect.com/science/article/pii/S0920379616303234

968

[45] C. Bernardi, Y. Maday, A. Patera, A new nonconforming approach to domain decomposition: The mortar element method, in: Nonlinear Par-
970

Tial Differential Equations and Their Applications, in H. Brézis and J.-L. Lions (eds.), Collège de France Seminar XI., 1992.

972

[46] R. Clough, J. Tocher, Finite element stiffness matrices for analysis of plates in bending, in: Proc. Conf. Matrix Methods in Struct. Mech., Air Force Inst of Tech., Wright Patterson A.F Base, Ohio, 1965.

974

[47] C. De Boor, A Practical Guide To Splines, Springer-Verlag, 1978.

976

[48] J. Lyness, D. Jespersen, Moderate degree symmetric quadrature rules for the triangle, J. Inst. Maths. Applics. 15 (1975) 19–32.

978

[49] F. J. Artola, K. Lackner, G. T. A. Huijsmans, M. Hoelzl, E. Nardon, A. Loarte, Understanding the reduction of the edge safety factor during hot VDEs and fast edge cooling events, Physics of Plasmas 27 (3) (2020) 032501. doi:10.1063/1.5140230.

980

URL https://pubs.aip.org/pop/article/27/3/032501/1062956/

982

Understanding-the-reduction-of-the-edge-safety

984

[50] L. E. Veen, A. G. Hoekstra, Easing Multiscale Model Design and Coupling with MUSCLE 3, in: V. V. Krzhizhanovskaya, G. Závodszky, M. H. Lees, J. J. Dongarra, P. M. A. Sloot, S. Brissos, J. Teixeira (Eds.), Computational Science – ICCS 2020, Springer International Publishing, Cham, 2020, pp. 425–438.

990

[51] H. Summers, The ADAS user manual, version 2.6, Tech. rep.,
http://www.adas.ac.uk (2004).

992

[52] F. Guzman, M. O'Mullane, H. Summers, ADAS tools for collisional radiative modelling of molecules, Journal of Nuclear Materials 438 (2013) S585–S588, Proceedings of the 20th International Conference on Plasma Surface Interactions in Controlled Fusion Devices. doi: 10.1016/j.jnucmat.2013.01.073.

996

[53] T. Putterich, R. Neu, R. Dux, A. Whiteford, M. O'Mullane, the AS-DEX Upgrade Team, Modelling of measured tungsten spectra from AS-DEX Upgrade and predictions for ITER, Plasma Phys. Control Fusion 50 (8) (2008) 085016. doi:10.1088/0741-3335/50/8/085016.