Paper Info
Title
A Tailored Finite Point Method for a Singular Perturbation Problem on an Unbounded Domain
Abstract
In this paper, we propose a tailored-finite-point method for a kind of singular perturbation problems in unbounded domains. First, we use the artificial boundary method (Han in Frontiers and Prospects of Contemporary Applied Mathematics, [2005]) to reduce the original problem to a problem on bounded computational domain. Then we propose a new approach to construct a discrete scheme for the reduced problem, where our finite point method has been tailored to some particular properties or solutions of the problem. From the numerical results, we find that our new methods can achieve very high accuracy with very coarse mesh even for very small 驴. In the contrast, the traditional finite element method does not get satisfactory numerical results with the same mesh.
Year
DOI
Venue
2008
10.1007/s10915-008-9187-7
J. Sci. Comput.
Keywords
Field
DocType
tailored-finite-point method,singular perturbation problem,reduced problem,coarse mesh,finite point method,traditional finite element method,original problem,artificial boundary method,tailored finite point method,new method,new approach,unbounded domain,finite element method
Boundary knot method,Mathematical optimization,Mathematical analysis,Extended finite element method,Finite point method,Finite element method,Singular perturbation,Mathematics,Mixed finite element method,Bounded function
Journal
Volume
Issue
ISSN
36
2
1573-7691
Citations 
PageRank 
References 
12
1.56
2
Authors
3
Name
Order
Citations
PageRank
Houde Han111017.95
Zhongyi Huang26712.67
R. Bruce Kellogg3589.59