Scientific papers

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Publications in peer-review journals

A. Crestetto, N. Crouseilles, D. Prel
Deterministic particle method for Fokker-Planck equation with strong oscillations → Preprint
SMAI Journal of Computational Mathematics 10 (2024).
B. Boutin, A. Crestetto, N. Crouseilles, J. Massot
Modified Lawson Methods for Vlasov Equations → Preprint
SIAM Journal on Scientific Computing 46 (2024).
A. Crestetto, N. Crouseilles, D. Prel
Multiscale Numerical Schemes for the Collisional Vlasov Equation in the Finite Larmor Radius Approximation Regime → Preprint
Multiscale Modeling and Simulation 21 (2023).
A. Crestetto, N. Crouseilles, Y. Li, J. Massot
Comparison of high-order Eulerian methods for electron hybrid model → Preprint
Journal of Computational Physics 451 (2022).
M. Badsi, C. Berthon, A. Crestetto
A stable fixed point method for the numerical simulation of a kinetic collisional sheath → Preprint
Journal of Computational Physics 429 (2021).
A. Crestetto, F. Deluzet, D. Doyen
Bridging kinetic plasma descriptions and single fluid models → Preprint
Journal of Plasma Physics 86 (2020).
A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou
A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation → Preprint
Communications in Mathematical Sciences 18 (2020).
A. Crestetto, C. Klingenberg, M. Pirner
Kinetic/Fluid micro-macro numerical scheme for a two component plasma → Preprint
Multiscale Modeling and Simulation 18 (2020).
C. Berthon, M. Bessemoulin-Chatard, A. Crestetto, F. Foucher
A Riemann solution approximation based on the zero diffusion-dispersion limit of Dafermos reformulation type problem → Preprint
Calcolo 56 (2019).
A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou
Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling → Preprint
Journal of Computational Physics 394 (2019).
A. Crestetto, N. Crouseilles, M. Lemou
A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling → Preprint
Communications in Mathematical Sciences 16 (2018).
A. Crestetto, F. Deluzet, C. Negulescu
A hybrid method for anisotropic elliptic problems based on the coupling of an Asymptotic-Preserving method with the Asymptotic-Limit model → Preprint
SIAM Journal on Scientific Computing 38 (2016).
C. Berthon, A. Crestetto, F. Foucher
A Well-Balanced Finite Volume Scheme for a Mixed Hyperbolic/Parabolic System to Model Chemotaxis → Preprint
Journal of Scientific Computing 67 (2015).
P. Helluy, L. Navoret, N. Pham, A. Crestetto
Reduced Vlasov-Maxwell simulations → Preprint
Comptes Rendus Mécanique 342 (2014).
A. Crestetto, N. Crouseilles, M. Lemou
Micro-macro decomposition for Vlasov-BGK equation using particles → Preprint
Kinetic and Related Models 5 (2012).

Proceedings with review

V. Ayot, M. Badsi, Y. Barsamian, A. Crestetto, N. Crouseilles, M. Mehrenberger, A. Prost, C. Tayou-Fotso
High order numerical methods for Vlasov-Poisson models of plasma sheaths→ Preprint
ESAIM : Proceedings and Surveys 77 (2024).
A. Crestetto, N. Crouseilles, M. Lemou
Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann-BGK-like equations in the diffusion scaling → Preprint
Finite Volumes for Complex Applications VII - Elliptic, Parabolic and Hyperbolic Problems, Springer Proceedings in Mathematics and Statistics 78 (2014).
P. Helluy, N. Pham, A. Crestetto
Space-only hyperbolic approximation of the Vlasov equation→ Preprint
ESAIM : Proceedings 43 (2013).
A. Crestetto, P. Helluy, J. Jung
Numerical resolution of conservation laws with OpenCL→ Preprint
ESAIM : Proceedings 40 (2013).
A. Crestetto, P. Helluy
Resolution of the Vlasov-Maxwell system by PIC Discontinuous Galerkin method on GPU with OpenCL → Preprint
ESAIM : Proceedings 38 (2012).
A. Back, A. Crestetto, A. Ratnani, E. Sonnendrücker
An axisymmetric PIC code based on isogeometric analysis → Preprint
ESAIM : Proceedings 32 (2011).
A. Crestetto, P. Helluy
Multi-Water-Bag Model And Method Of Moments For The Vlasov Equation → Preprint
Finite Volumes for Complex Applications VI - Problems and Perspectives, Springer Proceedings in Mathematics 4 (2011).

PhD Thesis

A. Crestetto
Optimisation de méthodes numériques pour la physique des plasmas. Application aux faisceaux de particules chargées. → PDF (French)
University of Strasbourg (October 2012).
→ Defense presentation. (French)

Research report

T. Auphan, P. Bochard, J. Bouhours, B. Buet, J. Claisse, A. Crestetto, Y. Deleuze
Analyses multivariées pour la production d'aluminium → Preprint (French)
Semaine d'Etude Maths-Entreprises 2011 - Report (January 2012).