A numerical study of LaBonte´s iteration: an approach to acceleration

Author

Kosavisutte, Kitti ; Hayashi, Nobuo

Author_Institution

Univ. of Electro-Commun., Tokyo, Japan

Volume

32

Issue

5

fYear

1996

fDate

9/1/1996 12:00:00 AM

Firstpage

4243

Lastpage

4245

Abstract

It is shown that the relaxation method used by LaBonte (1969) to calculate magnetization structures in equilibrium can be improved significantly. The convergence is accelerated by overdoing relaxation on the analogy of the S.O.R. method. The computation time is reduced by calculating the demagnetizing field on a coarse grid with a larger lattice constant than the basic grid used for relaxation. The demagnetizing field can be calculated simultaneously in advance of each relaxation sweep without degrading convergence. The results of the calculations made for thin Permalloy films show that the improved method can be used to calculate domain structures within a practical computing time

Keywords

Permalloy; convergence of numerical methods; demagnetisation; ferromagnetic materials; iterative methods; magnetic domains; magnetic thin films; relaxation theory; LaBonte iteration; SOR method relaxation; circle-type Bloch line; coarse grid; convergence acceleration; demagnetizing field; domain structures; magnetization structures; numerical study; relaxation method; relaxation sweep; thin Permalloy films; Acceleration; Convergence; Degradation; Demagnetization; Gaussian processes; Grid computing; High definition video; Lattices; Magnetization; Relaxation methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.539347

Filename

539347