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

被引：1

作者：

Li, Na ^{[1
,2
]}

Lin, Ping ^{[3
]}

Gao, Fuzheng ^{[4
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing, Peoples R China

[2] Shandong Womens Univ, Sch Data Sci & Comp, Jinan, Peoples R China

[3] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

[4] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 438卷

基金：

中国国家自然科学基金;

关键词：

Cahn-Hilliard equation; Dynamic boundary condition; SAV method; Energy law preservation; Finite element method; THIN-FILM MODEL; VARIATIONAL APPROACH; NONUNIFORM SYSTEM; NUMERICAL-METHOD; ERROR ANALYSIS; FREE-ENERGY; 2ND-ORDER; SCHEME; FLOWS; CONVERGENCE;

D O I：

10.1016/j.cam.2023.115584

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：15

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