A second order accurate SAV numerical method for the nonlocal ternary conservative Allen-Cahn model

被引：10

作者：

Weng, Zhifeng ^{[1
]}

Yue, Xiaoqiang ^{[2
]}

Zhai, Shuying ^{[1
]}

机构：

[1] Huaqiao Univ, Fujian Prov Univ Key Lab Computat Sci, Sch Math Sci, Quanzhou 362021, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Key Lab Intelligent Comp & Informat Proc,Minist Ed, Xiangtan 411105, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 142卷

基金：

中国国家自然科学基金;

关键词：

Nonlocal Allen-Cahn model; Three component; S-SAV; Mass conservation; Energy stability; DIFFUSION-EQUATIONS; HILLIARD; EFFICIENT; SCHEMES;

D O I：

10.1016/j.aml.2023.108633

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlocal model has attracted a great attention in materials field for describing various types of material heterogeneities and defects. In this paper, we are concerned with construction of energy stability numerical methods for the nonlocal ternary conservative Allen-Cahn model, two different Lagrange multipliers to enforce conservation of mass are considered, respectively. By employing a stabilized scalar auxiliary variable (S-SAV) approach with second-order backward differentiation formula in temporal, two fast and effective schemes are established. The unconditional energy stability and mass conservation are rigorously derived. Numerical experiments are presented to verify theoretical results and to show the robustness and accuracy of the proposed method. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：9

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