A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential
arXiv:2405.11984 · doi:10.1007/s00211-025-01457-8
Abstract
We study two fully discrete evolving surface finite element schemes for the Cahn-Hilliard equation on an evolving surface, given a smooth potential with polynomial growth. In particular we establish optimal order error bounds for a (fully implicit) backward Euler time-discretisation, and an implicit-explicit time-discretisation, with isoparametric surface finite elements discretising space.
42 pages, 5 figures (added new section on sharp interface numerics)
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