Moving finite element simulations for reaction-diffusion systems

Guanghui Hu, Zhonghua Qiao, Tao Tang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

14 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 - 25 Oct 2012

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Mechanical Engineering

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