The partition of unity finite element approach with hp-refinement for the stationary Fokker–Planck equation

2009 ◽  
Vol 327 (1-2) ◽  
pp. 144-162 ◽  
Author(s):  
Mrinal Kumar ◽  
Suman Chakravorty ◽  
Puneet Singla ◽  
John L. Junkins
Keyword(s):  
Finite Element ◽  
Planck Equation ◽  
Partition Of Unity ◽  
Finite Element Approach ◽  
Fokker Planck Equation ◽  
Element Approach ◽  
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.

A finite element/Fourier treatment of the Fokker–Planck equation

2012 ◽  
Vol 231 (18) ◽  
pp. 6192-6206 ◽  
Author(s):  
J. Andrew Spencer ◽  
Jeong-Young Ji ◽  
Eric D. Held
Keyword(s):  
Finite Element ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
Fokker Planck

A finite element solution of a reduced Fokker-Planck equation

1981 ◽  
Vol 42 (2) ◽  
pp. 327-336 ◽  
Author(s):  
D. Fyfe ◽  
A. Weiser ◽  
I. Bernstein ◽  
S. Eisenstat ◽  
M. Schultz
Keyword(s):  
Finite Element ◽  
Planck Equation ◽  
Finite Element Solution ◽  
Element Solution ◽  
Fokker Planck Equation ◽  
Fokker Planck
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