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Cited article:

A modified Crank-Nicolson finite difference method preserving maximum-principle for the phase-field model

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Journal of Mathematical Analysis and Applications 526 (2) 127271 (2023)
https://doi.org/10.1016/j.jmaa.2023.127271

Some algorithms for the mean curvature flow under topological changes

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Computational and Applied Mathematics 40 (4) (2021)
https://doi.org/10.1007/s40314-021-01494-7

A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model

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Journal of Mathematical Analysis and Applications 500 (2) 125103 (2021)
https://doi.org/10.1016/j.jmaa.2021.125103

A novel decoupled second-order time marching scheme for the two-phase incompressible Navier–Stokes/Darcy coupled nonlocal Allen–Cahn model

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Computer Methods in Applied Mechanics and Engineering 377 113597 (2021)
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Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

Huanrong Li, Dongmei Wang, Zhengyuan Song and Fuchen Zhang
Computers & Mathematics with Applications 96 67 (2021)
https://doi.org/10.1016/j.camwa.2021.05.014

Numerical analysis of a second-order IPDGFE method for the Allen–Cahn equation and the curvature-driven geometric flow

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Computers & Mathematics with Applications 86 49 (2021)
https://doi.org/10.1016/j.camwa.2021.01.014