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

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.

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A. Madzvamuse More by this author
P. K. Maini More by this author
A. J. Wathen More by this author
Publication date:
2005
URN:
uuid:19f4411b-02cb-47af-af90-c8c87d91c3e9
Local pid:
oai:eprints.maths.ox.ac.uk:340

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