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

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  • Jia, Hongen
  • Li, Yang
  • Feng, Guorui
  • Li, Kaitai

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.

Suggested Citation

  • Jia, Hongen & Li, Yang & Feng, Guorui & Li, Kaitai, 2020. "An efficient two-grid method for the Cahn–Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    • Handle: RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300319305314
    DOI: 10.1016/j.amc.2019.06.062
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    Cited by:

    1. Li, Yaxiang & Wang, Jiangxing, 2022. "Unconditional convergence analysis of stabilized FEM-SAV method for Cahn-Hilliard equation," Applied Mathematics and Computation, Elsevier, vol. 419(C).

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