A local meshless collocation method for solving Landau-Lifschitz-Gilbert equation

Ahmad Shirzadi; Fariba Takhtabnoos

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A local meshless collocation method for solving Landau-Lifschitz-Gilbert equation

机译：求解Landau-Lifschitz-Gilbert方程的局部无网格搭配方法

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摘要

This paper is concerned with a meshless simulation of the two dimensional Landau-Lifschitz-Gilbert (LLG) equation which describes the dynamics of the magnetization inside a ferromagnetic body. After elimination of the time variable by a suitable finite difference scheme, a combination of the meshless local RBFand the finite collocation method is used for spatial discretizations of the field variables. Three test problems are numerically investigated and the results reveal the effectiveness of the method.

机译：本文涉及二维Landau-Lifschitz-Gilbert（LLG）方程的无网格模拟，该方程描述了铁磁体内部的磁化动力学。在通过适当的有限差分方案消除了时间变量之后，将无网格局部RBF和有限搭配方法结合起来用于场变量的空间离散化。数值研究了三个测试问题，结果表明了该方法的有效性。

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来源
《Engineering analysis with boundary elements》 |2015年第12期|104-113|共10页
作者
Ahmad Shirzadi; Fariba Takhtabnoos;
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作者单位

Department of Mathematics, Persian Gulf University, Bushehr, Iran,Bushehr Mathematics House, Farhang Avenue, Bushehr, Iran;

Department of Mathematics, Persian Gulf University, Bushehr, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Radial basis functions; Landau-Lifschitz equation; Landau-Lifschitz-Gilbert equation; Local meshless methods; Finite collocation method; Finite differences;

机译：径向基函数;Landau-Lifschitz方程;Landau-Lifschitz-Gilbert方程;局部无网格方法;有限搭配法;有限差异;

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1. Applying the Method of Characteristics and the Meshless Localized Radial Basis Function Collocation Method to Solve Shallow Water Equations [J] . Hsiang C. C., Chou C. K., Young D. L., Journal of Engineering Mechanics . 2018,第7期

机译：应用特征方法和无网局部径向基函数搭配方法解决浅水方程
2. A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations [J] . Mostafa Abbaszadeh, Amirreza Khodadadian, Maryam Parvizi, Engineering analysis with boundary elements . 2019,第JANa期

机译：求解随机Cahn-Hilliard-Cook和随机Swift-Hohenberg方程的直接无网格局部配置方法
3. The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations [J] . Mehdi Dehghan, Mostafa Abbaszadeh Engineering analysis with boundary elements . 2017,第MAY期

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4. Least-Squares Collocation Points Meshless Method with Radial Basis Functions Solving Elliptic Equations [C] . Baoshan Miao, Xinqiang Qin, Gang Hu, ISAI 2010;International conference on information security and artificial intelligence . 2010

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5. Meshless collocation methods for the numerical solution of elliptic boundary valued problems the rotational shallow water equations on the sphere. [D] . Blakely, Christopher D. 2009

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6. The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations [O] . N. Thamareerat, A. Luadsong, N. Aschariyaphotha -1

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7. A Local Strong form Meshless Method for Solving 2D time-Dependent Schrödinger Equations [O] . Fariba Takhtabnoos, Ahmad Shirzadi 2019

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8. Meshless Local Petrov-Galerkin Method for Solving Contact, Impact and Penetration Problems [R] . Atluri, S. N. 2006

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A local meshless collocation method for solving Landau-Lifschitz-Gilbert equation

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