期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 431, 期 -, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2021.110142
关键词
Landau-Lifshitz-Gilbert equation; Implicit midpoint scheme; Finite element method; Demagnetization field calculation; Gradient recovery
资金
- Science and Technology Development Fund, Macau SAR [0070/2019/A2, 029/2016/A1]
- National Natural Science Foundation of China [11701598, 11971021, 11922120, 11871489, 11401608]
- MYRG of University of Macau [MYRG2017-00189-FST, MYRG2019-00154-FST]
This paper presents a framework for the numerical solution of the Landau-Lifshitz-Gilbert equation based on the finite element method and implicit midpoint scheme. The computational complexity for calculating the demagnetization field is effectively reduced using a PDE approach.
A framework for the numerical solution of the Landau-Lifshitz-Gilbert equation is developed in this paper. The numerical framework is based on the finite element method on tetrahedral meshes for the spatial discretization and the implicit midpoint scheme for the temporal discretization. The computational complexity for calculating the demagnetization field is effectively reduced by using a PDE approach, in which a gradient recovery technique is used for preserving the numerical accuracy. The numerical convergence of the proposed method is studied in detail for the mu MAG standard problem #3, from which a limit is predicted for the desired side length. The capability of the proposed method on handling problems defined on complex domains is successfully demonstrated by several examples, in which the computational domains are thin films with irregular defects. (C) 2021 Elsevier Inc. All rights reserved.
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