Continuous data assimilation and long-time accuracy in a C0 interior penalty method for the Cahn-Hilliard equation

作者：

Highlights：

• Applies continuous data assimilation (CDA) to Cahn-Hilliard.

• Prove long time accuracy given enough measurement data.

• We use 4th order Cahn-Hilliard with C0 interior penalty

• Excellent numerical results for shape relaxation and dumbbell region.

摘要

•Applies continuous data assimilation (CDA) to Cahn-Hilliard.•Prove long time accuracy given enough measurement data.•We use 4th order Cahn-Hilliard with C0 interior penalty•Excellent numerical results for shape relaxation and dumbbell region.

论文关键词：

论文评审过程：Received 21 June 2021, Revised 9 February 2022, Accepted 21 February 2022, Available online 14 March 2022, Version of Record 14 March 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127042