Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 441, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2023.115668
Keywords
Nonlocal ternary conservative Allen-Cahn; Operator splitting; Mass conservation; Energy stability; Error estimates
Categories
Ask authors/readers for more resources
The nonlocal model, which describes material heterogeneities and defects, has gained significant attention in materials science. This study focuses on a nonlocal ternary conservative Allen-Cahn model and proposes a linear energy stable scheme using a spatial convolution term. Rigorous analysis and numerical experiments validate the efficiency and stability of the proposed scheme.
The nonlocal model has attracted a great attention in materials science for describing various types of material heterogeneities and defects. In this study, we consider a nonlocal ternary conservative Allen-Cahn model, where the standard Laplace operator is intentionally replaced with a spatial convolution term that aims at describing long-range interactions among particles. A linear energy stable scheme is developed based on the operator splitting method. The mass conservation, energy stability and global convergence of the new scheme are analyzed rigorously. Numerical stability and convergence of the present numerical scheme are analyzed theoretically. Two and three dimensional numerical experiments are performed to validate the theoretical analysis and the efficiency of the method.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available