Year: 2012
Author: Guanghui Hu, Zhonghua Qiao, Tao Tang
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m11180
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 3 : pp. 365–381
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Reaction-diffusion systems Brusselator model Gray-Scott model moving finite element method.