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)

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 languageEnglish
Pages (from-to)201-206
Number of pages6
JournalApplied Mathematics Letters
Volume26
Issue number2
DOIs
Publication statusPublished - 2013 Feb
Externally publishedYes

Fingerprint

Pattern Formation
Reaction-diffusion System
Mesh
Generator
Vertex of a graph
Smoothing
Model

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

A self-organized mesh generator using pattern formation in a reaction-diffusion system. / Notsu, Hirofumi; Ueyama, Daishin; Yamaguchi, Masahiro.

In: Applied Mathematics Letters, Vol. 26, No. 2, 02.2013, p. 201-206.

Research output: Contribution to journalArticle

Notsu, Hirofumi ; Ueyama, Daishin ; Yamaguchi, Masahiro. / A self-organized mesh generator using pattern formation in a reaction-diffusion system. In: Applied Mathematics Letters. 2013 ; Vol. 26, No. 2. pp. 201-206.
@article{6b0c0b2314974869b56de11589a28b25,
title = "A self-organized mesh generator using pattern formation in a reaction-diffusion system",
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.",
keywords = "Mesh generation, Reaction-diffusion system, Self-organizing pattern formation, The finite difference method, The Gray-Scott model",
author = "Hirofumi Notsu and Daishin Ueyama and Masahiro Yamaguchi",
year = "2013",
month = "2",
doi = "10.1016/j.aml.2012.08.012",
language = "English",
volume = "26",
pages = "201--206",
journal = "Applied Mathematics Letters",
issn = "0893-9659",
publisher = "Elsevier Limited",
number = "2",

}

TY - JOUR

T1 - A self-organized mesh generator using pattern formation in a reaction-diffusion system

AU - Notsu, Hirofumi

AU - Ueyama, Daishin

AU - Yamaguchi, Masahiro

PY - 2013/2

Y1 - 2013/2

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

UR - http://www.scopus.com/inward/record.url?scp=84867893783&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867893783&partnerID=8YFLogxK

U2 - 10.1016/j.aml.2012.08.012

DO - 10.1016/j.aml.2012.08.012

M3 - Article

VL - 26

SP - 201

EP - 206

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

IS - 2

ER -