Peer Reviewed Journals

  1. M.A. Hamadi, K. Jbilou and A. Ratnani, An efficient extended block Arnoldi algorithm for feedback stabilization of incompressible Navier-Stokes flow problems, Applied Numerical Mathematics, 2022
  2. A. Bentbib, A. El-Hachimi, K. Jbilou and A. Ratnani, On the tensor nuclear norm and the total variation regularization for image and video completion, Journal of Optimization Theory and Applications, 2021
  3. A. Chkifa, M. A. Hamadi, K. Jbilou and A. Ratnani A computational method for model reduction in index-2 dynamical systems for Stokes equations. Computers and Mathelmatics with Applications, 99, October 2021
  4. M. A. Hamadi, K. Jbilou and A. Ratnani A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method. Journal of Applied Mathematics and Computing, March 2021
  5. M. Elkarii, C. Bouallou and A. Ratnani Towards Modelling a Diphasic Flow Using the CFD Technique to Achieve a Digital Twin of a Phosphate Slurry Piping Process. Chemical Engineering Transactions 81, August 2020
  6. F. Holderied, S. Possaner, A. Ratnani and X. Wang, Structure-preserving vs. standard particle-in-cell methods: the case of an electron hybrid model. Journal of Computational Physics 402, February 2020
  7. C. Manni, M. Mazza, A. Ratnani, S. Serra-Capizzano and H. Speleers, Isogeometric analysis for 2D and 3D curl-div problems: Spectral symbols and fast iterative solvers. CMAME 344, February 2019
  8. M. Mazza, A. Ratnani and S. Serra-Capizzano, Spectral analysis and spectral symbol for the 2D curl-curl (stabilized) operator with applications to the related iterative solutions. Mathematics of Computation 88, 2019
  9. D. Coulette, E. Franck, P. Helluy, A. Ratnani and E. Sonnendrücker, Implicit time schemes for compressible fluid models based on relaxation methods. Computer & Fluids, pages 70-85 2019
  10. M. Bécoulet, F. Orain, G. Huijsmans, S. Pamela, P. Cahyna, M. Hoelzl, X. Garbet, E. Franck, E. Sonnendrücker, G. Dif-Pradalier, C. Passeron, G. Latu, J. Morales, E. Nardon, A. Fil, B. Nkonga, A. Ratnani and V. Grandgirard, Mechanism of Edge Localized Mode mitigation by Resonant Magnetic Perturbations. Physical Review Letters 113, September 2014
  11. F. Orain, M. Bécoulet, G. Dif-Pradalier, G. Huijsmans, S. Pamela, E. Nardon, C. Passeron, G. Latu, V. Grandgirard, A. Fil, A. Ratnani, I. Chapman, A. Kirk, A. Thornton, M. Hoelzl and P. Cahyna, Non-linear MHD modeling of plasma response to Resonant Magnetic Perturbations. Physics of Plasmas 20, 2013
  12. A. Bécoulet et al., Science and technology research and development in support to ITER and the Broader Approach at CEA. Nuclear Fusion 2013
  13. N. Crouseilles, A. Ratnani and E. Sonnendrücker, An Isogeometric Analysis Approach for the study of the gyrokinetic quasi-neutrality equation. Journal of Computational Physics 231, pages 373-393 2012
  14. A. Ratnani and E. Sonnendrücker, Arbitrary High-Order Spline Finite Element Solver for the Time Domain Maxwell equations. Journal of Scientific Computing, pages 1-20, 2011

Peer-reviewed conference proceedings

  1. B. Nkonga, E. Franck, A. Eksaeva, M. Kazakova and A. Ratnani, Anisotropic diffusion in toroidal geometry. ESAIM: Proc., Volume 53, pages 77-98 2016.
  2. A. Ratnani and E. Sonnendrücker, Simulation of 2D reduced MHD using Isogeometric Analysis. Computational Science & Discovery, 2012.
  3. J. Abiteboul, G. Latu, V. Grandgirard, A. Ratnani, E. Sonnendrücker and A. Strugarek, Solving the Vlasov equations in complex geometries. ESAIM 32, pages 103-117 2011.
  4. A. Back, A. Crestetto, A. Ratnani and E. Sonnendrücker, An Axisymmetric PIC code based on Isogeometric Analysis. ESAIM 32, pages 118-133 2011.

Reports

  1. H. Guillard, J. Lakhlili, A. Loseille, A. Loyer, B. Nkonga, A. Ratnani and A. Elarif, Tokamesh : A software for mesh generation in Tokamaks
  2. A. Ratnani, Achieve complex and realistic Tokamak geometries and simulations using IsoGeometric Analysis. EFDA Fellowship Report
  3. G. Latu, M. Becoulet, G. Dif-Pradalier, V. Grandgirard, M. Hoelzl, G. Huysmans, X. Lacoste, E. Nardon, F. Orain, C. Passeron, P. Ramet and A. Ratnani, Non regression testing for the JOREK code.
  4. A. Ratnani, Pigasus, Isogeometric Analysis simulations in Python.

Unpublished work (work in progress)