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Title: Moving finite element simulations for reaction-diffusion systems
Authors: Hu, Guanghui
Qiao, Zhonghua
Tang, Tao
Subjects: 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.
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.
Rights: Reproduced with permission of the publisher.
Advances in Applied Mathematics and Mechanics is available online at:
Type: Journal/Magazine Article
DOI: 10.4208/aamm.10-m11180
ISSN: 2070-0733 (print)
2075-1354 (online)
Appears in Collections:AMA Journal/Magazine Articles

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