F. Deluzet, C. Guillet, J. Narski, P. Pace, High-Order Sparse-PIC Methods: Analysis and Numerical Investigations, SIAM Journal on Numerical Analysis, Vol 63, Issue 3 (2025) : 1281-1314
C. Yang, F. Deluzet, J. Narski, On the accuracy of nulerical methods for discretization of anisotrpic elliptic problems J. Comput. Phys.(2025), Vol. 521, 113568.
L. Garrigues, M. Chung-To-Sang, G. Fubiani, C. Guillet, F. Deluzet, J. Narski; Acceleration of particle-in-cell simulations using sparse grid algorithms. II. Application to Partially Magnetized Low Temperature Plasmas. Phys. Plasmas, 1 July 2024; 31 (7): 073908. https://doi.org/10.1063/5.0211220
L. Garrigues, M. Chung-To-Sang, G. Fubiani, C. Guillet, F. Deluzet, J. Narski; Acceleration of particle-in-cell simulations using sparse grid algorithms. I. Application to dual frequency capacitive discharges. Phys. Plasmas, 1 July 2024; 31 (7): 073907. https://doi.org/10.1063/5.0211217
F. Deluzet, G. Fubiani, L. Garrigues, C. Guillet, J. Narski, Efficient parallelization for 3d-3v sparse grid Particle-In-Cell: Single GPU architectures, Comput. Phys. Commun. (2023), 283(4): 108755
F. Deluzet, G. Fubiani, L. Garrigues, C. Guillet, J. Narski, Efficient parallelization for 3d-3v sparse grid Particle-In-Cell: Shared memory architectures, J. Comput. Phys. (2023), Vol. 480, 112022
F. Deluzet, J. Narski, M. Ndiaye, G. Hagelaar, J.-P. Boeuf, Numerical methods and macroscopic models of magnetically confined plasmas, Kinetic and Related Models (2023), Vol. 16, Issue 5: 624-653. Doi: 10.3934/krm.2023002
C. Guillet, F. Deluzet, G. Fubiani, L. Garrigues, J. Narski, Sparse Grid reconstructions for Particle-In-Cell methods, M2AN 56 (2022) 1809-1841, doi.org/10.1051/m2an/2022055
L. Garrigues, B. Tezenas du Montcel, G. Fubiani, F. Bertomeu, F. Deluzet, J. Narski, Application of sparse grid combination techniques to low temperature plasmas particle-in-cell simulations. I. Capacitively coupled radio frequency discharges, Journal of Applied Physics 129(15):153303(2021)
C. Yang, F. Deluzet, J. Narski, On the numerical resolution of anisotropic equations with high order differential operators: application to tokamak plasma physics, J. Comput. Phys. (2019), Vol. 386, 502-523
F. Deluzet, J. Narski, A two field iterated Asymptotic-Preserving method for highly anisotropic elliptic equations, Multiscale Model. Simul. 17(1) (Jan. 2019) 434–459
J. Narski, Fast Kinetic Scheme : efficient MPI parallelization strategy for 3D Boltzmann equation, Commun. Comput. Phys., 25 (2019), pp. 361-389, preprint: arXiv:1701.01608
G. Dimarco, R. Loubère, J. Narski, T. Rey, An efficient numerical method for solving the Boltzmann equation in multidimensions, J. Comput. Phys. (2018), Vol. 353, 46-81, preprint: arXiv:1608.08009
A. Lozinski, J. Narski, C. Negulescu, Numerical analysis of an asymptotic-preserving scheme for anisotropic elliptic equations, submitted, preprint: arXiv:1507.00879
J. Fehrenbach, J. Narski, J. Hua, S. Lemercier, A. Jelic, C. Appert-Rolland, S. Donikian, J. Pettré, P. Degond, Time-delayed Follow-the-Leader model for pedestrians walking in line, Networks and Heterogeneous Media, 10 (2015), 579-608., preprint: arXiv:1412.7537
G. Dimarco, R. Loubere, J. Narski, Towards an ultra efficient kinetic scheme. Part III: High performance computing, J. Comput. Phys. (2015), Vol. 284, 22-39
B. P. Muljadi, J. Narski, A. Lozinski, P. Degond, Non-Conforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments, Multiscale Modelling and Simulation, 13 (2015) pp. 1146–1172, preprint: arXiv:1404.2837
P. Degond, A. Lozinski, B. P. Muljadi, J. Narski, Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media, Communications in Computational Physics, 17 (2015), pp. 887-907, preprint: arXiv:1310.8639
J. Narski, M. Ottaviani, Asymptotic Preserving scheme for strongly anisotropic parabolic equations for arbitrary anisotropy direction, Computer Physics Communications 185 (2014) pp. 3189-3203, preprint: arXiv:1303.5219
A. Lozinski, J. Narski, C. Negulescu, Highly anisotropic temperature balance equation and its numerical solution using asymptotic-preserving schemes of second order in time, M2AN 48 (2014) 1701–1724, preprint: arXiv:1203.6739
P. Degond, A. Lozinski, J. Narski, C. Negulescu, An Asymptotic-Preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition, J. Comput. Phys. (2012), Vol. 231(7), 2724-2740, preprint: arXix:1102.0904
P. Degond, F. Deluzet, A. Lozinski, J. Narski, C. Negulescu, Duality-based Asymptotic-Preserving method for highly anisotropic diffusion equation, Commun. Math. Sci. (2012), Vol. 10(1), 1-31, preprint: arXiv:1008.3405v1
J. Narski, M. Picasso, Adaptive finite elements with high aspect ratio for dendritic growth of a binary alloy including fluid flow induced by shrinkage, CMAME (2007) 196, 3562-3576
J. Narski, M. Picasso, Adaptive 3D finite elements with high aspect ratio for dendritic growth of a binary alloy including fluid flow induced by shrinkage, Fluid Dyn. Mater. Proc. (2007) 3(1), 49-64
L. Garrigues, M. Chung-To-Sang, G. Fubiani, C. Guillet, F. Deluzet and J. Narski, Sparse Grid Approach to Accelerate Particle-In-Cell Technique: Application to the Hall Thruster E×B Instability *, 2021 IEEE International Conference on Plasma Science (ICOPS), 2021, pp. 1-1, doi: 10.1109/ICOPS36761.2021.9588616.
G. Dimarco, J. Narski, Hybrid Monte Carlo Schemes for Plasma Simulations, AIP Conf. Proc., Vol. 1389, 1130-1133 (2011)
P. Degond, F. Deluzet, D. Maldarella, J. Narski, C. Negulescu, M. Parisot, Hybrid model for the Coupling of an Asymptotic Preserving scheme with the Asymptotic Limit model: The One Dimensional Case, ESAIM: Proc. 32, 23-30 (2011)
J. Narski, M. Picasso, Adaptive finite elements with high aspect ratio for dendritic growth of a binary alloy including fluid flow induced by shrinkage, Int. Ser. Numerical Mathematics, Vol. 154, 327-337, Birkhauser, 2006