A numerical scheme for simulating solid-state dewetting of an axisymmetric thin film on an axisymmetric curved substrate. Starting from a thermodynamic-variation sharp-interface model governed by anisotropic surface diffusion with contact-line boundary conditions, it introduces a symmetrized surface-energy matrix to build a parametric finite element approximation that is unconditionally energy-stable, plus a correction that additionally conserves the enclosed volume, capturing pinch-off, edge retraction, and curvature-driven particle migration.
Derives and numerically solves a model for solid-state dewetting -- the breakup of a solid thin film into particles by surface diffusion below its melting point -- when both the film and the substrat…