An unconditionally stable splitting method for the Allen-Cahn equation with logarithmic free energy

DOI10.1007/s10665-021-10203-6zbMath1489.65134OpenAlexW4205737531MaRDI QIDQ2074263

Youngjin Hwang, Soobin Kwak, Jintae Park, Junseok Kim, Chaeyoung Lee, Yongho Choi, Hyun Geun Lee

Publication date: 7 February 2022

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-021-10203-6

zbMATH Keywords

Allen-Cahn equationunconditionally stable schemeFlory-Huggins potential

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation ⋮ Hybrid numerical method for the Allen-Cahn equation on nonuniform grids ⋮ A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential

Cites Work

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