A SAV finite element method for the Cahn–Hilliard equation with dynamic boundary conditions

Na Li, Ping Lin (Lead / Corresponding author), Fuzheng Gao

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Abstract

In this paper, we propose a SAV method for the Cahn–Hilliard type phase field model with new dynamic boundary conditions. By using the continuous finite element method in space and the backward difference method in time, the fully discrete numerical schemes preserving the energy law are constructed. Numerical examples show that the proposed scheme can simulate the phase field model well even in a relatively rough grid.
Original languageEnglish
Article number115584
Number of pages15
JournalJournal of Computational and Applied Mathematics
Volume438
Early online date23 Sept 2023
DOIs
Publication statusPublished - 1 Mar 2024

Keywords

  • Cahn–Hilliard equation
  • Dynamic boundary condition
  • SAV method
  • Energy law preservation
  • Finite element method

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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