scholarly journals An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems

2018 ◽  
Vol 87 (314) ◽  
pp. 2641-2674 ◽  
Author(s):  
Paul Houston ◽  
Thomas P. Wihler
Keyword(s):  
Finite Element ◽  
Boundary Value Problems ◽  
Discontinuous Galerkin ◽  
Elliptic Boundary ◽  
Galerkin Finite Element ◽  
Finite Element Approach ◽  
Elliptic Boundary Value ◽  
Semilinear Elliptic ◽  
Discontinuous Galerkin Finite Element ◽  
Element Approach

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