Personnel
Overall Objectives
Research Program
Application Domains
Highlights of the Year
New Software and Platforms
New Results
Partnerships and Cooperations
Dissemination
Bibliography
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Bibliography

Major publications by the team in recent years
[1]
J. 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.
http://hal.archives-ouvertes.fr/hal-00419608
[2]
B. 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.
[3]
H. 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.
https://hal.inria.fr/hal-00870451
[4]
H. 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 ]
https://hal.inria.fr/hal-01088772
[5]
J. 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 ]
https://hal.inria.fr/hal-01103529
Publications of the year

Doctoral Dissertations and Habilitation Theses

[6]
E. ESTIBALS.
MHD Modeling and Numerical Simulation with Finite Volume-type Methods. Application to Fusion Plasmas, Université Nice Côte d'Azur, May 2017.
https://hal.inria.fr/tel-01551701

Articles in International Peer-Reviewed Journals

[7]
D. 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, in: Journal of Computational Physics, October 2017, vol. 346, pp. 25-48.
https://hal.inria.fr/hal-01589114
[8]
A. Chiapolino, R. Saurel, B. Nkonga.
Sharpening diffuse interfaces with compressible fluids on unstructured meshes, in: Journal of Computational Physics, July 2017, vol. 340, pp. 389-417.
https://hal.inria.fr/hal-01589124
[9]
L. Drescher, H. Heumann, K. Schmidt.
A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces, in: SIAM Journal on Numerical Analysis, November 2017, vol. 55, no 6, pp. 2592 - 2615. [ DOI : 10.1137/16M1102227 ]
https://hal.archives-ouvertes.fr/hal-01637946
[10]
B. Faugeras, J. Blum, H. Heumann, C. Boulbe.
Optimal control of a coupled partial and ordinary differential equations system for the assimilation of polarimetry Stokes vector measurements in tokamak free-boundary equilibrium reconstruction with application to ITER, in: Computer Physics Communications, January 2017, vol. 217, pp. 43 - 57. [ DOI : 10.1016/j.cpc.2017.04.003 ]
https://hal.inria.fr/hal-01442462
[11]
B. Faugeras, H. Heumann.
FEM-BEM coupling methods for Tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains, in: Journal of Computational Physics, August 2017, vol. 343, pp. 201 - 216. [ DOI : 10.1016/j.jcp.2017.04.047 ]
https://hal.archives-ouvertes.fr/hal-01637945
[12]
L. Feng, G. T. A. Huijsmans, A. Loarte, A. M. Garofalo, W. M. M. Solomon, M. Hoelzl, B. Nkonga, S. Pamela, M. Becoulet, F. Orain, D. Van Vugt.
Non-linear MHD simulations of QH-mode DIII-D plasmas and implications for ITER high Q scenarios, in: Plasma Physics and Controlled Fusion, 2017, pp. 1-20.
https://hal.inria.fr/hal-01627515
[13]
H. Heumann, F. Rapetti.
A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries, in: Journal of Computational Physics, 2017, vol. 334, no 1, pp. 522-540. [ DOI : 10.1016/j.jcp.2017.01.006 ]
https://hal.archives-ouvertes.fr/hal-01443546
[14]
K. A. Ivanova, S. L. Gavrilyuk, B. Nkonga, G. L. Richard.
Formation and coarsening of roll-waves in shear shallow water flows down an inclined rectangular channel, in: Computers and Fluids, 2017.
https://hal.archives-ouvertes.fr/hal-01527469
[15]
F. Liu, G. T. A. Huijsmans, A. Loarte, C. Alberto Garófalo, B. Nkonga, M. Hoelzl.
Nonlinear MHD study on the influence of ExB flow in QH-mode plasma of DIII-D, in: Bulletin of the American Physical Society, 2017.
https://hal.archives-ouvertes.fr/hal-01616337
[16]
R. Pasquetti, F. Rapetti.
Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes, in: Journal of Computational Physics, 2017.
https://hal-unice.archives-ouvertes.fr/hal-01589136
[17]
M. Wu, B. Mourrain, A. Galligo, B. Nkonga.
H1-parametrizations of complex planar physical domains in Isogeometric analysis, in: Computer Methods in Applied Mechanics and Engineering, May 2017, vol. 318, pp. 296–318. [ DOI : 10.1016/j.cma.2017.01.025 ]
https://hal.inria.fr/hal-01196435
[18]
M. Wu, B. Mourrain, A. Galligo, B. Nkonga.
Hermite type Spline spaces over rectangular meshes with complex topological structures, in: Communications in Computational Physics, February 2017, vol. 21, no 3, pp. 835-866. [ DOI : 10.4208/cicp.OA-2016-0030 ]
https://hal.inria.fr/hal-01196428
[19]
M. Wu, Y. Wang, B. Mourrain, B. Nkonga, C. Cheng.
Convergence rates with singular parameterizations for solving elliptic boundary value problems in isogeometric analysis, in: Computer Aided Geometric Design, April 2017, vol. 52–53, pp. 170–189. [ DOI : 10.1016/j.cagd.2017.02.006 ]
https://hal.inria.fr/hal-01276699

Invited Conferences

[20]
F. Liu, G. T. A. Huijsmans, A. Loarte, A. M. Garofalo, W. M. Solomon, B. Nkonga.
Non-linear MHD simulations of QH-mode and Type I ELMy H-mode DIIID plasmas and implications for ITER high Q scenarios, in: EPS 2017 - 44th Conference on Plasma Physics, Belfast, Ireland, June 2017, no 1-1.
https://hal.archives-ouvertes.fr/hal-01589770
[21]
R. Pasquetti.
Spectral element schemes for the Korteweg-de Vries and Saint-Venant equations, in: 23ème Congrès Français de Mécanique (Mini-symposium Rencontres Mathématiques-Mécanique), Lille, France, August 2017.
https://hal-unice.archives-ouvertes.fr/hal-01582605

Conferences without Proceedings

[22]
R. Coelho, W. Zwingmann, B. Faugeras, E. Giovanozzi, P. Mc Carthy, E. P. Suchkov, F. S. Zaitsev, O. Sauter, F. Carpanese, J.-M. Moret.
Equilibrium reconstruction analysis of TCV tokamak plasmas in the EU- IM platform, in: 44th EPS Conference on Plasma Physics, Belfast, Ireland, June 2017.
https://hal.archives-ouvertes.fr/hal-01656506
[23]
A. Loseille, A. Loyer, H. Guillard.
Coupling Grad-Shafranov equilibrium solvers and grid generation to study plasma confinement properties in nuclear fusion devices, in: Coupled Problems 2017 - VII International Conference on Coupled Problems in Science and Engineering, Rhodes, Greece, June 2017, vol. 31, 190103 p.
https://hal.inria.fr/hal-01644328
[24]
R. Pasquetti, S. Minjeaud.
High order CG schemes for KdV and Saint-Venant flows, in: 19h International Conference on Finite Elements in Flow Problems - FEF 2017, Rome, Italy, April 2017.
https://hal-unice.archives-ouvertes.fr/hal-01508556

Scientific Books (or Scientific Book chapters)

[25]
H. Guillard, B. Nkonga.
On the Behaviour of Upwind Schemes in the Low Mach Number Limit: A Review, in: Handbook of Numerical Analysis, R. Abgrall, C.-W. Shu (editors), Elsevier, January 2017, vol. Volume 18. [ DOI : 10.1016/bs.hna.2016.09.002 ]
https://hal.inria.fr/hal-01534938
[26]
R. Pasquetti.
Viscous stabilizations for high order approximations of Saint-Venant and Boussinesq flows, in: Lecture Notes in computational Science and Engineering, M. Bittencourt, N. Dumont, J. S. Hesthaven (editors), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, Springer, 2017, vol. 119, pp. 519-531. [ DOI : 10.1007/978-3-319-65870-4_37 ]
https://hal-unice.archives-ouvertes.fr/hal-01657795

Internal Reports

[27]
A. I. Delis, H. Guillard, Y.-C. Tai.
Numerical simulations of hydraulic jumps with the Shear Shallow Water model, Inria Sophia Antipolis - Méditerranée ; UCA, Inria, November 2017, no RR-9127.
https://hal.inria.fr/hal-01647019
[28]
É. Estibals, H. Guillard, A. Sangam.
Bi-temperature Euler Equations Modeling for Fusion Plasma, Inria Sophia-Antipolis, France, February 2017, no RR-9026, 74 p.
https://hal.inria.fr/hal-01461679
[29]
B. Faugeras, H. Heumann.
FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains, Inria Sophia Antipolis - Méditerranée ; CASTOR, 2017, no RR-9016.
https://hal.archives-ouvertes.fr/hal-01443392
[30]
G. Giorgiani, H. Guillard, B. Nkonga, E. Serre.
A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime, Inria Sophia Antipolis - Méditerranée, 2017, pp. 1-31.
https://hal.inria.fr/hal-01638140
[31]
H. Heumann, F. Rapetti, X. Song.
FEMs on Composite Meshes for Tuning Plasma Equilibria in Tokamaks, Inria & Université Nice Sophia Antipolis, CNRS, I3S, Sophia Antipolis, France, 2017, no RR-9129, pp. 1-21.
https://hal.archives-ouvertes.fr/hal-01659839

Other Publications

[32]
D. 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.
https://hal.inria.fr/hal-01426759
[33]
T. Goudon, J. Llobell, S. Minjeaud.
A staggered scheme for the Euler equations, March 2017, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01491850
[34]
H. Guillard, J. Lakhlili, A. Loseille, A. Loyer, A. Ratnani.
Grid Generation for Fusion Applications, October 2017, 1 p, EFTC 2017 - 17th European Fusion Theory Conference, Poster.
https://hal.inria.fr/hal-01644309
References in notes
[35]
J. Blum.
Numerical Simulation and Optimal Control in Plasma Physics with Applications to Tokamaks, Series in Modern Applied Mathematics, Wiley Gauthier-Villars, Paris, 1989.
[36]
H. 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 ]
https://hal.inria.fr/hal-01088772
[37]
Y. Liu, J. Teng, T. Xu, J. Badal.
Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling, in: J. Comput. Phys., 2017, vol. 336, pp. 458–480.
https://doi.org/10.1016/j.jcp.2017.01.069
[38]
S. Minjeaud, R. Pasquetti.
High Order C0-Continuous Galerkin Schemes for High Order PDEs, Conservation of Quadratic Invariants and Application to the Korteweg-de Vries Model, in: J Sci Comput, 2017.