AN ASYMPTOTIC PRESERVING SCHEME FOR THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM IN THE HIGH FIELD REGIME |
| |
Authors: | Shi Jin Li Wang |
| |
Institution: | Shi Jin 1,2 Li Wang 2 1. Department of Mathematics,and Institute of Natural Sciences,Shanghai Jiao Tong University,Shanghai 20040,China,2. Department of Mathematics,University of Wisconsin-Madison,480 Lincoln Drive,Madison,WI 53706,USA |
| |
Abstract: | The Vlasov-Poisson-Fokker-Planck system under the high field scaling describes the Brownian motion of a large system of particles in a surrounding bath where both collision and field effects (electrical or gravitational) are dominant. Numerically solving this system becomes challenging due to the stiff collision term and stiff nonlinear transport term with respect to the high field. We present a class of Asymptotic-Preserving scheme which is efficient in the high field regime, namely, large time steps and c... |
| |
Keywords: | Vlasov-Poisson-Fokker-Planck equation high field limit asymptotic-preserving schemes |
本文献已被 CNKI 维普 ScienceDirect 等数据库收录! |
|