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 language | English |
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Article number | 115584 |
Number of pages | 15 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 438 |
Early online date | 23 Sept 2023 |
DOIs | |
Publication status | Published - 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