A Discrete Scheme for Parametric Anisotropic Surface Diffusion

  • Authors:
  • Frank Hauβer;Axel Voigt

  • Affiliations:
  • Crystal Growth Group, Research center caesar, Bonn, Germany 53175;Crystal Growth Group, Research center caesar, Bonn, Germany 53175

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2007

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Abstract

In this note we present, how anisotropic surface energies may be incorporated into the finite element method for parametric surface diffusion given by Bänsch et al. [2004. J. Comput. Phys. 203, 321---343]. We present the adapted variational formulation, and the resulting semi-implicit discretization. Finally several simulations with strong (convex) anisotropies are shown, where the corresponding Wulff shapes are approached as the steady state