Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5165
Title: Moving finite element simulations for reaction-diffusion systems
Authors: Hu, G
Qiao, Z 
Tang, T
Keywords: Reaction-diffusion systems
Brusselator model
Gray-Scott model
Moving finite element method
Issue Date: 2012
Publisher: Global Science Press Ltd
Source: Advances in applied mathematics and mechanics, 2012, v. 4, no.3, p. 365-381 How to cite?
Journal: Advances in applied mathematics and mechanics 
Abstract: This work is concerned with the numerical simulations for two reaction-diffusion systems, i.e., the Brusselator model and the Gray-Scott model. The numerical algorithm is based upon a moving finite element method which helps to resolve large solution gradients. High quality meshes are obtained for both the spot replication and the moving wave along boundaries by using proper monitor functions. Unlike [33], this work finds out the importance of the boundary grid redistribution which is particularly important for a class of problems for the Brusselator model. Several ways for verifying the quality of the numerical solutions are also proposed, which may be of important use for comparisons.
URI: http://hdl.handle.net/10397/5165
ISSN: 2070-0733 (print)
2075-1354 (online)
DOI: 10.4208/aamm.10-m11180
Rights: Reproduced with permission of the publisher.
Advances in Applied Mathematics and Mechanics is available online at: http://www.global-sci.org/aamm
Appears in Collections:Journal/Magazine Article

Files in This Item:
File Description SizeFormat 
Hu_Qiao_Tang_2012.pdfPre-published version1.34 MBAdobe PDFView/Open
Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

5
Last Week
1
Last month
0
Citations as of Jun 8, 2016

WEB OF SCIENCETM
Citations

5
Last Week
0
Last month
0
Citations as of Jul 22, 2016

Page view(s)

326
Last Week
1
Last month
Checked on Jul 24, 2016

Download(s)

531
Checked on Jul 24, 2016

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.