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A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes
Yang,Lei1; Chen,Jingrun2; Hu,Guanghui3,4
2021-04-15
Source PublicationJournal of Computational Physics
ISSN0021-9991
Volume431
AbstractA 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 μMAG 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.
KeywordDemagnetization field calculation Finite element method Gradient recovery Implicit midpoint scheme Landau-Lifshitz-Gilbert equation
DOI10.1016/j.jcp.2021.110142
URLView the original
Language英语
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Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorHu,Guanghui
Affiliation1.Faculty of Information Technology,Macau University of Science and Technology,China
2.School of Mathematical Sciences,Soochow University,Suzhou,215006,China
3.Department of Mathematics,Faculty of Science and Technology,University of Macau,China
4.Zhuhai UM Science & Technology Research Institute,Guangdong,China
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Yang,Lei,Chen,Jingrun,Hu,Guanghui. A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes[J]. Journal of Computational Physics,2021,431.
APA Yang,Lei,Chen,Jingrun,&Hu,Guanghui.(2021).A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes.Journal of Computational Physics,431.
MLA Yang,Lei,et al."A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes".Journal of Computational Physics 431(2021).
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