A self-organized mesh generator using pattern formation in a reaction-diffusion system

Hirofumi Notsu, Daishin Ueyama, Masahiro Yamaguchi

Research output: Contribution to journalArticle

2 Citations (Scopus)


A new type of mesh generator is developed by using a self-organized pattern in a reaction-diffusion system. The system is the Gray-Scott model, which creates a spot pattern in a specific parameter region. The spots correspond to nodes of a mesh. The mesh generator has several advantages: the algorithm is simple and processes to improve the mesh, such as smoothing, (locally) addition, and removal of nodes, are automatically performed by the system.

Original languageEnglish
Pages (from-to)201-206
Number of pages6
JournalApplied Mathematics Letters
Issue number2
Publication statusPublished - 2013 Feb
Externally publishedYes



  • Mesh generation
  • Reaction-diffusion system
  • Self-organizing pattern formation
  • The finite difference method
  • The Gray-Scott model

ASJC Scopus subject areas

  • Applied Mathematics

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