A new variational finite volume discretization for Wasserstein gradient flows that guarantees non-negativity and energy decay, with uniqueness for convex energies and convergence proved for the linear Fokker-Planck equation under positive initial density.
Bessemoulin-Chatard
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.NA 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
Four finite volume schemes based on different flux formulations are proposed for a degenerated drift-diffusion system, with stability and existence shown for all four and convergence proven for two, plus numerical experiments.
citing papers explorer
-
A variational finite volume scheme for Wasserstein gradient flows
A new variational finite volume discretization for Wasserstein gradient flows that guarantees non-negativity and energy decay, with uniqueness for convex energies and convergence proved for the linear Fokker-Planck equation under positive initial density.
-
A numerical analysis focused comparison of several Finite Volume schemes for an Unipolar Degenerated Drift-Diffusion Model
Four finite volume schemes based on different flux formulations are proposed for a degenerated drift-diffusion system, with stability and existence shown for all four and convergence proven for two, plus numerical experiments.