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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