PUBLICATIONS

Articles:

1. C. Guillet. Energy-conserving Particle-In-Cell scheme based on Galerkin methods with sparse grids, Journal of Computational Physics, 2025. Prepublication: https://hal.science/hal-04653644v1.

2. F . Deluzet, C. Guillet, P. Pace and J. Narski. High-order sparse-PIC methods: analysis and numerical investigations. SIAM Journal on Numerical Analysis, accepted, 2025. Prepublication: https://hal.science/hal-04437088.

3. C. Guillet. Semi-implicit particle-in-cell methods embedding sparse grid reconstructions. Multiscale Modeling and Simulation, 2024. Prepublication: https://hal.science/hal-04137654v2.

4. 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. Physics of Plasmas, 2024. Prepublication: https://hal.science/hal-04662643.

5. 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. Physics of Plasmas, 2024. Prepublication: https://hal.science/hal-04662648.

6. F. Deluzet, G. Fubiani, L. Garrigues, C. Guillet, and J. Narski. Efficient parallelization for 3d-3v sparse grid Particle-In-Cell: shared memory architectures. Journal of Computational Physics, 2023. Open access: https://www.sciencedirect.com/science/article/pii/S0021999123001171; prepublication : https://hal.science/hal-03773216v1.

7. F. Deluzet, G. Fubiani, L. Garrigues, C. Guillet, and J. Narski. Efficient parallelization for 3d-3v sparse grid Particle-In-Cell: Single gpu architectures. Computer Physics Communications, 2023.  Prepublication: https://hal.science/hal-03773226v2.

8. F. Deluzet, G. Fubiani, L. Garrigues, C. Guillet, and J. Narski. Sparse grid reconstructions for Particle-In-Cell methods. ESAIM: M2AN, 56(5):1809–1841, 2022.  Open access : https://www.esaim-m2an.org/articles/m2an/pdf/2022/05/m2an220004.pdf; prepublication : https://hal.science/hal-03355720.

In-progress publications:

9. C. Guillet, T. Hirschler, P. Jolivet, R. Bouclier. Multilevel matrix-free method for high-performance isogeometric analysis of lattice structures. Submitted at Journal of Computational Physics, 2024. Prepublication:  https://hal.science/hal-04757522v1.

Proceedings:

10. 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), Lake Tahoe, NV, USA, 2021, pp. 1-1. DOI: 10.1109/ICOPS36761.2021.9588616.

PhD Thesis:

11. C. Guillet. Approche sur grilles parcimonieuses pour accélérer la méthode Particle-In-Cell. PhD thesis, 2023. http://thesesups.ups-tlse.fr/5742.