Nonlinear conjugate gradient methods in micromagnetics

Conjugate gradient methods for energy minimization in micromagnetics are compared. The comparison of analytic results with numerical simulation shows that standard conjugate gradient method may fail to produce correct results. A method that restricts the step length in the line search is introduced,...

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Bibliographic Details
Published in:AIP advances 2017-04, Vol.7 (4), p.045310-045310-13
Main Authors: Fischbacher, J., Kovacs, Alexander, Oezelt, Harald, Schrefl, T., Exl, L., Fidler, J., Suess, D., Sakuma, N., Yano, M., Kato, A., Shoji, T., Manabe, A.
Format: Article
Language:English
Subjects:
Coercivity
Computer simulation
Conjugate gradient method
Conjugates
Demagnetization
Distributed processing
Energy conservation
Magnetic properties
Multiprocessing
Permanent magnets
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Summary:Conjugate gradient methods for energy minimization in micromagnetics are compared. The comparison of analytic results with numerical simulation shows that standard conjugate gradient method may fail to produce correct results. A method that restricts the step length in the line search is introduced, in order to avoid this problem. When the step length in the line search is controlled, conjugate gradient techniques are a fast and reliable way to compute the hysteresis properties of permanent magnets. The method is applied to investigate demagnetizing effects in NdFe12 based permanent magnets. The reduction of the coercive field by demagnetizing effects is μ0ΔH = 1.4 T at 450 K.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.4981902