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
153 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
80 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
63 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
44 * 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
25 * 2019 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 Design and numerical analysis of asymptotic preserving schemes on unstructured meshes. Application to the linear transport and Friedrichs systems E Franck
HAL 2012, 2012
21 * 2012 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 C Buet, B Després, E Franck
Comptes Rendus. Mathématique 350 (11-12), 633-638, 2012
20 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
18 2020 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 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
14 2015 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
13 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
12 2018 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 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
9 * 2023 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 Vectorial kinetic relaxation model with central velocity. application to implicit relaxations schemes C Courtès, D Coulette, E Franck, L Navoret
Communications in Computational Physics 27 (4), 2020
7 2020 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 
Matthias HoelzlGroup Leader at Max Planck Institute for Plasmaphysics, Garching, GermanyAdresse e-mail validée de ipp.mpg.de
