Paper Info
Title
Tailored finite point method based on exponential bases for convection-diffusion-reaction equation.
Abstract
In this paper, we propose a class of new tailored finite point methods (TFPM) for the numerical solution of a type of convection-diffusionreaction problems in two dimensions. Our finite point method has been tailored based on the local exponential basis functions. Furthermore, our TFPM satisfies the discrete maximum principle automatically. We also study the error estimates of our TFPM. We prove that our TFPM can achieve good accuracy even when the mesh size h >> epsilon for some cases without any prior knowledge of the boundary layers. Our numerical examples show the efficiency and reliability of our method.
Year
DOI
Venue
2013
10.1090/S0025-5718-2012-02616-0
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Tailored finite point method,singular perturbation problem,boundary layer,discrete maximum principle
Convection–diffusion equation,Mathematical optimization,Exponential function,Chemical equation,Mathematical analysis,Finite point method,Boundary layer,Mathematics
Journal
Volume
Issue
ISSN
82
281
0025-5718
Citations 
PageRank 
References 
5
0.52
6
Authors
2
Name
Order
Citations
PageRank
Houde Han111017.95
Zhongyi Huang26712.67