Maximum bound principle preserving and mass conservative projection method for the conservative Allen-Cahn equation

被引：0

作者：

Li, Jiayin ^{[1
,2
]}

Li, Jingwei ^{[3
]}

Tong, Fenghua ^{[4
,5
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Peking Univ, Chongqing Res Inst Big Data, Chongqing 400000, Peoples R China

[3] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[4] Beijing Normal Univ, Lab Math & Complex Syst, Beijing 100875, Peoples R China

[5] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2024年 / 156卷

基金：

中国博士后科学基金;

关键词：

Conservative Allen-Cahn equation; MBP; Mass conservation; Projection method;

D O I：

10.1016/j.aml.2024.109151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose and analyze an efficient maximum bound principle (MBP) preserving and mass conservative projection method for the conservative Allen-Cahn equation. The proposed projection operator can be proven contractive in the discrete L-2 norm. Discrete MBP and mass conservation are rigorously presented for a second-order exponential time differencing scheme with a central difference discretization in space. Various numerical examples are performed to verify these theoretical results and demonstrate the accuracy and robustness of the proposed scheme.

引用

页数：5

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