The Mathematical Institute, University of Oxford, Eprints Archive

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

Madzvamuse, A. and Maini, P. K. and Wathen, A. 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.

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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
Uncontrolled Keywords:Moving meshes - moving grid finite elements - reaction–diffusion systems - Turing instability
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:340
Deposited By:Philip Maini
Deposited On:10 Nov 2006
Last Modified:20 Jul 2009 14:20

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