Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/5165
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Hu, G | - |
dc.creator | Qiao, Z | - |
dc.creator | Tang, T | - |
dc.date.accessioned | 2014-12-11T08:22:57Z | - |
dc.date.available | 2014-12-11T08:22:57Z | - |
dc.identifier.issn | 2070-0733 (print) | - |
dc.identifier.issn | 2075-1354 (online) | - |
dc.identifier.uri | http://hdl.handle.net/10397/5165 | - |
dc.language.iso | en | en_US |
dc.publisher | Global Science Press Ltd | en_US |
dc.rights | Reproduced with permission of the publisher. | en_US |
dc.rights | Advances in Applied Mathematics and Mechanics is available online at: http://www.global-sci.org/aamm | en_US |
dc.subject | Reaction-diffusion systems | en_US |
dc.subject | Brusselator model | en_US |
dc.subject | Gray-Scott model | en_US |
dc.subject | Moving finite element method | en_US |
dc.title | Moving finite element simulations for reaction-diffusion systems | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 365 | - |
dc.identifier.epage | 381 | - |
dc.identifier.volume | 4 | - |
dc.identifier.issue | 3 | - |
dc.identifier.doi | 10.4208/aamm.10-m11180 | - |
dcterms.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. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Advances in applied mathematics and mechanics, 2012, v. 4, no.3, p. 365-381 | - |
dcterms.isPartOf | Advances in applied mathematics and mechanics | - |
dcterms.issued | 2012 | - |
dc.identifier.isi | WOS:000306793300007 | - |
dc.identifier.scopus | 2-s2.0-84867688707 | - |
dc.identifier.rosgroupid | r61112 | - |
dc.description.ros | 2011-2012 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Hu_Qiao_Tang_2012.pdf | Pre-published version | 1.34 MB | Adobe PDF | View/Open |
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