Name
Abstract | ||
|---|---|---|
We describe a numerical scheme for dealing with an ion/electron collision operator of the Fokker--Planck type; for that purpose, we introduce the notion of the entropic average of two positive quantities. This scheme has the property to be entropic in the sense of Boltzmann's H-theorem under a CFL criteria. Moreover, we prove that the solution of the semidiscrete scheme converges towards a unique Maxwellian equilibrium state when the time grows. Numerical applications are given and show that our scheme is more precise than the classical Chang--Cooper one. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1137/S0036142999359669 | SIAM Journal on Numerical Analysis |
Keywords | Field | DocType |
kinetics model,Fokker-Planck Landau equation,plasma physics,numerical scheme | Fokker–Planck equation,Statistical physics,Boundary value problem,Convection–diffusion equation,Maxwell–Boltzmann distribution,Operator (computer programming),Boltzmann constant,Partial differential equation,Thermodynamic equilibrium,Physics | Journal |
Volume | Issue | ISSN |
39 | 4 | 0036-1429 |
Citations | PageRank | References |
3 | 0.66 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christophe Buet | 1 | 3 | 0.66 |
| Stéphane Dellacherie | 2 | 3 | 0.66 |
| R. Sentis | 3 | 10 | 3.47 |