3 papers
math.NA2026
Exact hierarchical algorithms for accelerating particle--mesh coupling in sparse-grid particle-in-cell methods
Clément Guillet
In this paper, we propose two hierarchical algorithms for charge deposition and electric-field interpolation that apply to both the sparse-grid combination technique (SGCT-PIC) and…
math.NA2026
Hierarchical sparse-grid particle-in-cell method with locally adaptive mesh refinement
F. Deluzet, C. Guillet, J. Narski +1
In this paper, we introduce new approximation spaces and a locally adaptive refinement strategy for the hierarchical sparse-grid PIC (HSG-PIC) method to improve the bias while pres…
math.NA2026
A hierarchical sparse-grid particle method for the Vlasov--Poisson system
Fabrice Deluzet, Clément Guillet, Jacek Narski
We introduce a hierarchical sparse-grid (HSG) particle method for the numerical solution of the Vlasov--Poisson system. Sparse-grid PIC methods have so far been formulated within f…