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

Hirofumi Notsu; Daishin Ueyama; Masahiro Yamaguchi

doi:10.1016/j.aml.2012.08.012

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

Hirofumi Notsu^*, Daishin Ueyama, Masahiro Yamaguchi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	201-206
Number of pages	6
Journal	Applied Mathematics Letters
Volume	26
Issue number	2
DOIs	https://doi.org/10.1016/j.aml.2012.08.012
Publication status	Published - 2013 Feb
Externally published	Yes

Keywords

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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10.1016/j.aml.2012.08.012

Cite this

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abstract = "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.",

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author = "Hirofumi Notsu and Daishin Ueyama and Masahiro Yamaguchi",

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AU - Notsu, Hirofumi

AU - Ueyama, Daishin

AU - Yamaguchi, Masahiro

PY - 2013/2

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N2 - 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.

AB - 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.

KW - Mesh generation

KW - Reaction-diffusion system

KW - Self-organizing pattern formation

KW - The finite difference method

KW - The Gray-Scott model

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

Abstract

Keywords

ASJC Scopus subject areas

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