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

Madzvamuse, Anotida, Maini, Philip K and Wathen, Andrew J (2005) A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Journal of Scientific Computing, 24 (2). pp. 247-262. ISSN 1573-7691

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Anotida Madzvamuse
Date Deposited: 06 Feb 2012 18:46
Last Modified: 03 Apr 2012 13:57
URI: http://sro.sussex.ac.uk/id/eprint/18296
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