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An Evolving Surface Finite Element Method for the Numerical Solution of Diffusion Induced Grain Boundary Motion

In: Numerical Mathematics and Advanced Applications 2011

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  • V. Styles

    (University of Sussex)

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.

Suggested Citation

  • V. Styles, 2013. "An Evolving Surface Finite Element Method for the Numerical Solution of Diffusion Induced Grain Boundary Motion," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 469-477, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_50
    DOI: 10.1007/978-3-642-33134-3_50
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