An adaptive time-stepping method for the phase-field molecular beam epitaxial growth model on evolving surfaces

作者：

Highlights：

• Numerical simulations of the MBE model on evolving surfaces.

• The evolving surface finite element method with the stabilizing approach.

• An adaptive time-stepping strategy based on discrete energy and surface velocity.

摘要

•Numerical simulations of the MBE model on evolving surfaces.•The evolving surface finite element method with the stabilizing approach.•An adaptive time-stepping strategy based on discrete energy and surface velocity.

论文关键词：Molecular beam epitaxial growth model,Adaptive time-stepping,Evolving surface finite element method,Stability analysis

论文评审过程：Received 20 February 2022, Revised 16 August 2022, Accepted 3 October 2022, Available online 18 October 2022, Version of Record 18 October 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127622