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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.

Type

Journal article

Journal

J SCI COMPUT

Publication Date

08/2005

Volume

24

Pages

247 - 262

Keywords

DESIGN, SYSTEM, DIFFUSION, POMACANTHUS, Turing instability, REACTION-DIFFUSION SYSTEMS, Moving meshes, moving grid finite elements