Overall Objectives
Research Program
Overall Objectives
Research Program


Major publications by the team in recent years
  • 1J. Blum, C. Boulbe, B. Faugeras.

    Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time, in: Journal of Computational Physics, 2012, vol. 231, pp. 960-980.

  • 2B. Faugeras, J. Blum, C. Boulbe, P. Moreau, E. Nardon.

    2D interpolation and extrapolation of discrete magnetic measurements with toroidal harmonics for equilibrium reconstruction in a Tokamak, in: Plasma Phys. Control Fusion, 2014, vol. 56.
  • 3H. Guillard, B. Koren, E. Ute, G. Tamas, K. Rony, K. Dana.

    B. Koren, U. Ebert, T. Gombosi, H. Guillard, R. Keppens, D. Knoll (editors), Special Issue: Computational Plasma Physics of the journal of Computational Physics, 3, Elsevier, 2012, vol. 231, pp. 717-1080.

  • 4H. Heumann, J. Blum, C. Boulbe, B. Faugeras, G. Selig, P. Hertout, E. Nardon, J.-M. Ané, S. Brémond, V. Grandgirard.

    Quasi-static Free-Boundary Equilibrium of Toroidal Plasma with CEDRES++: Computational Methods and Applications, in: Journal of Plasma Physics, 2015, 35 p. [ DOI : 10.1017/S0022377814001251 ]

  • 5J. Vides, B. Nkonga, E. Audit.

    A Simple Two-Dimensional Extension of the HLL Riemann Solver for Hyperbolic Systems of Conservation Laws, in: Journal of Computational Physics, January 2015, vol. 280, pp. 643-675. [ DOI : 10.1016/j.jcp.2014.10.013 ]

Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 6J. Tarcisio-Costa.

    Variational Multi-Scale stabilized Finite Elements for the magnetohydrodynamic models of fusion plasmas, Université Nice Sophia Antipolis [UNS], December 2016.


Articles in International Peer-Reviewed Journals

  • 7D. S. Balsara, J. Vides, K. Gurski, B. Nkonga, M. Dumbser, S. Garain, E. Audit.

    A two-dimensional Riemann solver with self-similar sub-structure – Alternative formulation based on least squares projection, in: Journal of Computational Physics, January 2016, vol. 304. [ DOI : 10.1016/j.jcp.2015.10.013 ]

  • 8M. Blommaert, M. Baelmans, H. Heumann, Y. Marandet, H. Bufferand, N. R. Gauger, D. Reiter.

    Magnetic Field Models and their Application in Optimal Magnetic Divertor Design, in: Contributions to Plasma Physics, 2016. [ DOI : 10.1002/ctpp.201610031 ]

  • 9M. Blommaert, H. Heumann, M. Baelmans, N. R. Gauger, D. R. Reiter.

    Towards automated magnetic divertor design for optimal heat exhaust, in: ESAIM: Proceedings and Surveys, 2016, vol. 53, pp. 49-63. [ DOI : 10.1051/proc/201653004 ]

  • 10B. Faugeras.

    Tokamak plasma boundary reconstruction using toroidal harmonics and an optimal control method, in: Fusion Science and Technology, 2016, vol. 69, no 2, pp. 495-504.

  • 11G. Giorgiani, H. Guillard, B. Nkonga.

    A Powell-Sabin finite element scheme for partial differential equations , in: ESAIM: Proceedings, March 2016, vol. 53, pp. 64-76. [ DOI : 10.1051/proc/201653005 ]

  • 12T. Goudon, S. Minjeaud, F. Berthelin.

    Multifluid flows: a kinetic approach, in: Journal of Scientific Computing, 2016, vol. 66, no 2, pp. 792–824.

  • 13H. Heumann, R. Hiptmair, C. Pagliantini.

    Stabilized Galerkin for transient advection of differential forms, in: Discrete and Continuous Dynamical Systems - Series S, 2016, vol. 9, no 1, pp. 185 - 214. [ DOI : 10.3934/dcdss.2016.9.185 ]

  • 14S. Minjeaud, R. Pasquetti.

    Fourier-spectral element approximation of the two fluid ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration, in: Journal of Computational Physics, 2016, vol. 321, pp. 492-511. [ DOI : 10.1016/j.jcp.2016.05.056 ]

  • 15R. Pasquetti.

    Comparison of some isoparametric mappings for curved triangular spectral elements, in: Journal of Computational Physics, 2016, vol. 316, pp. 573–577. [ DOI : 10.1016/j.jcp.2016.04.038 ]


Invited Conferences

International Conferences with Proceedings

  • 17E. ESTIBALS, H. Guillard, A. Sangam.

    Finite Volume for Fusion Simulations, in: Jorek Meeting 2016, Sophia Antipolis, France, Matthias Hoelzl, April 2016.

  • 18G. Giorgiani, H. Guillard, B. Nkonga.

    Shock capturing computations with stabilized Powell-Sabin elements, in: ECCOMAS Congress 2016 VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete, Greece, June 2016, vol. Eccomas 2016 Proceedings, 16 p.

  • 19H. Heumann, F. Rapetti, M. D. Truong.

    FEMs on composite meshes for plasma equilibrium simulations in tokamaks, in: 19th European Conference on Mathematics for Industry - ECMI 2016, Santiago-de-Compostela , Spain, Mathematics in Industry, June 2016.

  • 20J. Tarcisio-Costa, B. Nkonga.

    High order stabilized finite element method for MHD plasma modeling, in: International COnference on Spectral And High Order Methods ICOSAHOM 2016, Rio de Janeiro, Brazil, June 2016.


Conferences without Proceedings

  • 21R. Coelho, B. Faugeras, E. Giovanozzi, P. Mc Carthy, W. Zwingmann, E. P. Suchkov, F. Zaitsev, M. Dunne, I. Lupelli, N. Hawkes, G. Szepesi.

    Integrated equilibrium reconstruction and MHD stability analysis of tokamak plasmas in the EU-IM platform, in: 43rd EPS conference on plasma physics, Leuven, Belgium, July 2016.


Internal Reports

  • 22H. Heumann, L. Drescher, K. Schmidt.

    A High Order Method for Contour Integrals with an Application to Plasma Modeling in Nuclear Fusion, Inria Sophia Antipolis - Méditerranée ; CASTOR, August 2016, no RR-8948.

  • 23H. Heumann, F. Rapetti.

    A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries, Inria Sophia Antipolis, 2016, no RR-8916.

  • 24B. Nkonga, J. Tarcisio-Costa, J. Vides.

    VMS Finite Element for MHD and Reduced-MHD in Tokamak Plasmas, Inria Sophia Antipolis ; Université de Nice-Sophia Antipolis, March 2016, no 8892.


Other Publications

  • 25D. S. Balsara, B. Nkonga.

    Multidimensional Riemann Problem with Self-Similar Internal Structure – Part III– A Multidimensional Analogue of the HLLI Riemann Solver for Conservative Hyperbolic Systems, January 2017, working paper or preprint.

  • 26E. ESTIBALS, H. Guillard, A. Sangam.

    Finite Volume Approximation of MHD Equations with Euler Potential, June 2016, XVII Spanich-French School, Jacques Louis Lions about Numerical Simulations in Physics and Mechanics, Poster.

References in notes
  • 27T. Goudon, F. Berthelin, S. Minjeaud.

    Kinetic schemes on staggered grids for barotropic Euler models: entropy-stability analysis, in: Mathematics of Computation, 2015, vol. 84, pp. pp. 2221–2262.