An efficient two-grid method for the Cahn–Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential

Hongen Jia, Yang Li, Guorui Feng and Kaitai Li

Applied Mathematics and Computation, 2020, vol. 387, issue C

Abstract: In this paper, we consider the two-grid method for solving Cahn–Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential. This two-grid method consists of two steps. First step, solve the Cahn–Hilliard equation with full implicit mixed finite element method and Newton iteration method on a coarse grid. Second step, solve two linear equations on a fine grid. The stability and convergence of the proposed scheme are established. Finally, some numerical experiments are presented.

Keywords: Two-grid method; Cahn–Hilliard; Dependent mobility; Logarithmic potential (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300319305314

DOI: 10.1016/j.amc.2019.06.062

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