Moving finite element simulations for reaction-diffusion systems

Guanghui Hu, Zhonghua QIAO*, Tao TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

This work is concerned with the numerical simulations for two reactiondiffusion 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.

Original languageEnglish
Pages (from-to)365-381
Number of pages17
JournalAdvances in Applied Mathematics and Mechanics
Volume4
Issue number3
DOIs
Publication statusPublished - 2012

Scopus Subject Areas

  • Mechanical Engineering
  • Applied Mathematics

User-Defined Keywords

  • Brusselator model
  • Gray-Scott model
  • Moving finite element method
  • Reaction-diffusion systems

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