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math.NA2026
Discrete hypocoercive estimates for discontinuous Galerkin methods: application to the Vlasov-Poisson-Fokker-Planck system
Yi Cai, Alain Blaustein, Tao Xiong +1
We develop and analyze a class of structure-preserving discontinuous Galerkin schemes for the nonlinear Vlasov-Poisson-Fokker-Planck model, reformulated as a hyperbolic system thro…
math.NA2025
A structure and asymptotic preserving scheme for the quasineutral limit of the Vlasov-Poisson system
Alain Blaustein, Giacomo Dimarco, Francis Filbet +1
In this work, we propose a new numerical method for the Vlasov-Poisson system that is both asymptotically consistent and stable in the quasineutral regime, i.e. when the Debye leng…
math.NA2023★ 1 cited
A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model
Alain Blaustein, Francis Filbet
We propose a numerical method for the Vlasov-Poisson-Fokker-Planck model written as an hyperbolic system thanks to a spectral decomposition in the basis of Hermite functions with r…