Abstract
We apply an evolving surface finite element method (ESFEM) to a mathematical model for diffusion induced grain boundary motion. The model involves the coupling of a diffusion equation on a moving surface to an equation for the motion of the surface. We formulate a finite element approximation of the model which involves triangulated surfaces whose vertices move in time. We present numerical simulations.
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Acknowledgements
This work was supported by the EPSRC grant EP/D078334/1.
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Styles, V. (2013). An Evolving Surface Finite Element Method for the Numerical Solution of Diffusion Induced Grain Boundary Motion. In: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (eds) Numerical Mathematics and Advanced Applications 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33134-3_50
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DOI: https://doi.org/10.1007/978-3-642-33134-3_50
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