Conference item

A moving grid finite element method for the simulation of pattern generation by turing models on growing domains

Abstract:: Numerical techniques for moving meshes are many and varied. In this paper we present a novel application of a moving grid finite element method applied to biological problems related to pattern formation where the mesh movement is prescribed through a specific definition to mimic the growth that is observed in nature. Through the use of a moving grid finite element technique, we present numerical computational results illustrating how period doubling behaviour occurs as the domain doubles in size.

Publication status:: Published

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APA Style

Madzvamuse, A., Maini, P., & Wathen, A. (2005). A moving grid finite element method for the simulation of pattern generation by turing models on growing domains. 24(2), 247–262.

MLA Style

Madzvamuse, A., et al. A Moving Grid Finite Element Method for the Simulation of Pattern Generation by Turing Models on Growing Domains. no. 2, 2005, pp. 247–62.

Chicago Style

Madzvamuse, A, P Maini, and A Wathen. 2005. “A Moving Grid Finite Element Method for the Simulation of Pattern Generation by Turing Models on Growing Domains.” In , 24:247–62.
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Publisher copy:: 10.1007/s10915-004-4617-7

Authors

+ Madzvamuse, A More by this author

Role:: Author

+ Maini, P More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Wathen, A More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: JOURNAL OF SCIENTIFIC COMPUTING More from this journal
Volume:: 24
Issue:: 2
Pages:: 247-262
Publication date:: 2005-08-01
Event title:: 5th International Congress on Industrial and Applied Mathematics
DOI:: 10.1007/s10915-004-4617-7
EISSN:: 1573-7691
ISSN:: 0885-7474

Keywords:: Moving meshes

moving grid finite elements

reaction-diffusion systems

Turing instability
Pubs id:: pubs:27428
UUID:: uuid:73c178a7-6a00-41e9-9d64-196613193e26
Local pid:: pubs:27428
Source identifiers:: 27428
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2005

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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