Adaptive time step control for higher order variational time discretizations applied to convection–diffusion–reaction equations

2015 ◽  
Vol 285 ◽  
pp. 83-101 ◽  
Author(s):  
Naveed Ahmed ◽  
Volker John
Keyword(s):  
Higher Order ◽  
Diffusion Reaction ◽  
Time Step ◽  
Convection Diffusion ◽  
Adaptive Time Step ◽  
Adaptive Time ◽  
Reaction Equations ◽  
Step Control

scholarly journals Local time stepping with adaptive time step control for a two-phase fluid system

2009 ◽  
Vol 29 ◽  
pp. 73-88 ◽  
Author(s):  
Frédéric Coquel ◽  
Quang Long Nguyen ◽  
Marie Postel ◽  
Quang Huy Tran
Keyword(s):  
Local Time ◽  
Time Step ◽  
Fluid System ◽  
Two Phase ◽  
Time Stepping ◽  
Local Time Stepping ◽  
Adaptive Time Step ◽  
Adaptive Time ◽  
Step Control ◽  
Phase Fluid

scholarly journals Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 302 ◽  
Author(s):  
Jürgen Geiser ◽  
Jose L. Hueso ◽  
Eulalia Martínez
Keyword(s):  
Numerical Experiments ◽  
Splitting Methods ◽  
Diffusion Equations ◽  
Diffusion Reaction ◽  
Splitting Schemes ◽  
Convection Diffusion ◽  
Highly Nonlinear ◽  
Adaptive Schemes ◽  
Adaptive Time ◽  
Reaction Equations

This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are related to convection–diffusion–reaction equations. The splitting techniques are based on iterative splitting approaches with adaptive ideas. Based on shifting the time-steps with additional adaptive time-ranges, we could embedded the adaptive techniques into the splitting approach. The numerical analysis of the adapted iterative splitting schemes is considered and we develop the underlying error estimates for the application of the adaptive schemes. The performance of the method with respect to the accuracy and the acceleration is evaluated in different numerical experiments. We test the benefits of the adaptive splitting approach on highly nonlinear Burgers’ and Maxwell–Stefan diffusion equations.

Sign in / Sign up

Export Citation Format

Share Document