A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential
<|reference_start|>A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential: 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.<|reference_end|>
@article{elliott2024a,
    title={A fully discrete evolving surface finite element method for the
  Cahn-Hilliard equation with a regular potential},
    author={Charles M. Elliott, Thomas Sales},
    journal={arXiv preprint arXiv:2405.11984},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.11984},
    primaryClass={math.NA cs.NA}
}