An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation-Reference-Cited by-同舟云学术

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An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation

Published:2022-09-05 Issue:6 Volume:32 Page:
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Ham Seokjun,Li Yibao,Jeong Darae,Lee Chaeyoung,Kwak Soobin,Hwang Youngjin,Kim Junseok

Funder

project BK21 FOUR

Fundamental Research Funds for the Central Universities

Korea University Grant

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s00332-022-09844-3.pdf

Reference64 articles.

1. Ainsworth, M., Mao, Z.: Well-posedness of the Cahn-Hilliard equation with fractional free energy and its Fourier Galerkin approximation. Chaos Solitons Fract. 102, 264–273 (2017)

2. Banas, L.U., Nürnberg, R.: Adaptive finite element methods for Cahn-Hilliard equations. J. Comput. Appl. Math. 218(1), 2–11 (2008)

3. Bartels, A., Patrick, K., Jörn, M.: Cahn-Hilliard phase field theory coupled to mechanics: fundamentals, numerical implementation and application to topology optimization. Comput. Meth. Appl. Mech. Eng. 383, 113918 (2021)

4. Beneŝová, B., Melcher, C., Süli, E.: An implicit midpoint spectral approximation of nonlocal Cahn-Hilliard equations. SIAM J. Numer. Anal. 52(3), 1466–1496 (2014)

5. Berger, M.J., Colella, P.: Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82(1), 64–84 (1989)

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