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. (2004) A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Technical Report. Unspecified. (Submitted)

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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 actually occurs as the domain doubles in size.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1187
Deposited By:Lotti Ekert
Deposited On:18 May 2011 08:14
Last Modified:18 May 2011 08:14

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