Speaker
Robert Nürnberg
Description
We consider a phase field model for crystal growth on a curved surface.
A particular emphasis must be placed on the choice of the anisotropic
energy density functional. We advocate for a construction that is based on
fixing a density on the tangent space of a chosen point on the surface,
and then moving it along geodesics to the other tangent spaces.
We propose a surface finite element method that is unconditionally stable
and present some numerical results, including for the modelling of ice
crystal growth on a sphere.
Author
Co-author
Prof.
Harald Garcke