Convergence of numerical solution for the inhomogeneous Landau-Lifshitz equations with Gilbert damping

被引：0
|
作者：
Liu, Le [1 ]
Song, Wenjing [2 ,4 ]
Yang, Ganshan [3 ,5 ]
机构：
[1] Yichun Vocat Tech Coll, Yichun, Peoples R China
[2] Xian Polytech Univ, Sch Sci, Xian, Peoples R China
[3] Yunnan Minzu Univ, Dept Math, Kunming, Peoples R China
[4] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China
[5] Yunnan Minzu Univ, Dept Math, Kunming 650031, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 14期
关键词：
Gilbert damping; inhomogeneous Landau-Lifshitz equation; numerical method; EXISTENCE;
D O I：
10.1002/mma.9385
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the inhomogeneous Landau-Lifshitz equation with nonuniform Gilbert damping term by numerical method. First, we establish a semi-discrete form for the inhomogeneous Landau-Lifshitz equation with nonuniform Gilbert damping, which is continuous in time. Then we study the temporal discretization. It proposes a simple projection method to solve our issue. Finally, we prove that it is unconditionally stable.
引用
收藏
页码：15391 / 15411
页数：21
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