The JOREK non-linear extended MHD code and applications to large-scale instabilities and their control in magnetically confined fusion plasmas M Hoelzl, GTA Huijsmans, SJP Pamela, M Becoulet, E Nardon, FJ Artola, ... Nuclear Fusion 61 (6), 065001, 2021 | 212 | 2021 |
Mechanism of edge localized mode mitigation by resonant magnetic perturbations M Becoulet, F Orain, GTA Huijsmans, S Pamela, P Cahyna, M Hoelzl, ... Physical review letters 113 (11), 115001, 2014 | 83 | 2014 |
Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes C Buet, B Després, E Franck Numerische Mathematik 122, 227-278, 2012 | 66 | 2012 |
High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation D Coulette, E Franck, P Helluy, M Mehrenberger, L Navoret Computers & Fluids 190, 485-502, 2019 | 49* | 2019 |
Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code E Franck, M Hölzl, A Lessig, E Sonnendrücker ESAIM: Mathematical Modelling and Numerical Analysis 49 (5), 1331-1365, 2015 | 34 | 2015 |
An analysis of over-relaxation in a kinetic approximation of systems of conservation laws F Drui, E Franck, P Helluy, L Navoret Comptes Rendus Mécanique 347 (3), 259-269, 2019 | 27* | 2019 |
Design and numerical analysis of asymptotic preserving schemes on unstructured meshes. Application to the linear transport and Friedrichs systems E Franck HAL 2012, 2012 | 25* | 2012 |
A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations F Bouchut, E Franck, L Navoret Journal of Scientific Computing 83, 1-47, 2020 | 21 | 2020 |
Finite volume scheme with local high order discretization of the hydrostatic equilibrium for the Euler equations with external forces E Franck, LS Mendoza Journal of Scientific Computing 69, 314-354, 2016 | 21 | 2016 |
Asymptotic preserving finite volumes discretization for non-linear moment model on unstructured meshes E Franck, C Buet, B Després Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6 …, 2011 | 21 | 2011 |
An asymptotic preserving scheme with the maximum principle for the model on distorded meshes C Buet, B Després, E Franck Comptes Rendus. Mathématique 350 (11-12), 633-638, 2012 | 20 | 2012 |
A neural network closure for the Euler-Poisson system based on kinetic simulations L Bois, E Franck, L Navoret, V Vigon arXiv preprint arXiv:2011.06242, 2020 | 18 | 2020 |
Asymptotic preserving schemes on distorted meshes for Friedrichs systems with stiff relaxation: application to angular models in linear transport C Buet, B Després, E Franck Journal of Scientific Computing 62 (2), 371-398, 2015 | 15 | 2015 |
Vectorial kinetic relaxation model with central velocity. application to implicit relaxations schemes D Coulette, C Courtès, E Franck, L Navoret Communications in Computational Physics 27 (4), 2020 | 14 | 2020 |
Task-based parallelization of an implicit kinetic scheme J Badwaik, M Boileau, D Coulette, E Franck, P Helluy, C Klingenberg, ... ESAIM: Proceedings and Surveys 63, 60-77, 2018 | 14 | 2018 |
Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes C Buet, B Després, E Franck, T Leroy Mathematics of Computation 86 (305), 1147-1202, 2017 | 14 | 2017 |
A robust and efficient solver based on kinetic schemes for magnetohydrodynamics (MHD) equations H Baty, F Drui, P Helluy, E Franck, C Klingenberg, L Thanhäuser Applied Mathematics and Computation 440, 127667, 2023 | 13 | 2023 |
Implicit time schemes for compressible fluid models based on relaxation methods D Coulette, E Franck, P Helluy, A Ratnani, E Sonnendrücker Computers & Fluids 188, 70-85, 2019 | 10 | 2019 |
An asymptotic preserving scheme for P1 model using classical diffusion schemes on unstructured polygonal meshes E Franck, P Hoch, P Navaro, G Samba ESAIM: Proceedings 32, 56-75, 2011 | 8 | 2011 |
Anisotropic diffusion in toroidal geometries A Ratnani, E Franck, B Nkonga, A Eksaeva, M Kazakova ESAIM: Proceedings and Surveys 53, 77-98, 2016 | 7 | 2016 |