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

页码：15391 / 15411

页数：21

共 50 条

[1] Landau-Lifshitz or Gilbert damping? That is the question
Saslow, W. M.
JOURNAL OF APPLIED PHYSICS, 2009, 105 (07)
[2] The Numerical Convergence of the Landau-Lifshitz Equations and Its Simulation
Zhong, Penghong
Wang, Shu
Wang, Ke
Bai, Yiping
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[3] LANDAU-LIFSHITZ EQUATION OF FERROMAGNETISM - EXACT TREATMENT OF THE GILBERT DAMPING
LAKSHMANAN, M
NAKAMURA, K
PHYSICAL REVIEW LETTERS, 1984, 53 (26) : 2497 - 2499
[4] Description of a dissipative quantum spin dynamics with a Landau-Lifshitz/Gilbert like damping and complete derivation of the classical Landau-Lifshitz equation
Robert Wieser
The European Physical Journal B, 2015, 88
[5] Description of a dissipative quantum spin dynamics with a Landau-Lifshitz/Gilbert like damping and complete derivation of the classical Landau-Lifshitz equation
Wieser, Robert
EUROPEAN PHYSICAL JOURNAL B, 2015, 88 (03):
[6] Well-posedness for the fractional Landau-Lifshitz equation without Gilbert damping
Pu, Xueke
Guo, Boling
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2013, 46 (3-4) : 441 - 460
[7] Convergence of a finite element discretization for the Landau-Lifshitz equations in micromagnetism
Alouges, F
Jaisson, P
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2006, 16 (02): : 299 - 316
[8] On the anisotropic Landau-Lifshitz equations
Chen, Q
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 257 (02) : 292 - 307
[9] THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE LANDAU-LIFSHITZ EQUATION WITH GILBERT DAMPING TERM
Guo, Qi
Xiao, Yamin
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2023, 21 (06) : 1727 - 1742
[10] Existence and Holder Regularity of the Fractional Landau-Lifshitz Equation without Gilbert Damping Term
Wang, Lijun
Li, Jingna
Xia, Li
ABSTRACT AND APPLIED ANALYSIS, 2013,

← 1 2 3 4 5 →