scholarly journals A mass-energy-conserving discontinuous Galerkin scheme for the isotropic multispecies Rosenbluth–Fokker–Planck equation

2021 ◽  
pp. 110813
Author(s):  
Takashi Shiroto ◽  
Akinobu Matsuyama ◽  
Nobuyuki Aiba ◽  
Masatoshi Yagi
Keyword(s):  
Discontinuous Galerkin ◽  
Planck Equation ◽  
Mass Energy ◽  
Galerkin Scheme ◽  
Discontinuous Galerkin Scheme ◽  
Fokker Planck Equation ◽  
Energy Conserving ◽  
Fokker Planck

scholarly journals A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation

2010 ◽  
Vol 2010 ◽  
pp. 1-26 ◽  
Author(s):  
Yunying Zheng ◽  
Changpin Li ◽  
Zhengang Zhao
Keyword(s):  
Finite Element ◽  
Discontinuous Galerkin ◽  
Planck Equation ◽  
Galerkin Finite Element ◽  
Finite Element Approach ◽  
Fully Discrete ◽  
Fokker Planck Equation ◽  
Discontinuous Galerkin Finite Element ◽  
Element Approach ◽  
Fokker Planck

The fractional Fokker-Planck equation is often used to characterize anomalous diffusion. In this paper, a fully discrete approximation for the nonlinear spatial fractional Fokker-Planck equation is given, where the discontinuous Galerkin finite element approach is utilized in time domain and the Galerkin finite element approach is utilized in spatial domain. The priori error estimate is derived in detail. Numerical examples are presented which are inline with the theoretical convergence rate.

Sign in / Sign up

Export Citation Format

Share Document