Numerical Analysis of Conservative and Entropy Schemes for the Fokker--Planck--Landau Equation

Authors:
C. Buet;S. Cordier
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
1999

Citing 0
Cited 3

Numerical approximation of collisional plasmas by high order methods

Journal of Computational Physics
High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications

Journal of Computational Physics
A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation

Journal of Computational Physics

Quantified Score

Hi-index	0.02

Visualization

Abstract

Conservatives and entropy schemes for the Fokker--Planck--Landau (FPL) equation are studied. We prove the existence of a unique positive and global in time solution for the homogeneous linear and nonlinear discretized (either in the velocity space or both in the velocity space and in time) FPL equation. The stability analysis of these schemes leads to sufficient conditions on the time-step that guarantee positivity and entropy decay.