Kronecker product approximation of demagnetizing tensors for micromagnetics

Kronecker product approximation of demagnetizing tensors for micromagnetics

A comparison study of the asymptotic behavior between different compression techniques is reported. We show that by applying the Kronecker product approximation, the storage of a three-dimensional demagnetizing tensor with N 6 entries can be reduced to O ( N 2 ) , showing a superlinear compression b...

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Veröffentlicht in:Journal of computational physics 2010-04, Vol.229 (7), p.2544-2549
Hauptverfasser: Goncharov, A.V., Hrkac, G., Dean, J.S., Schrefl, T.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Asymptotic properties
Compressing
Computational techniques
Demagnetizing
Exact sciences and technology
Fast field
Low-rank
Magnetization
Mathematical analysis
Mathematical methods in physics
Micromagnetics
Physics
Tensors
Vectors (mathematics)
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Zusammenfassung:A comparison study of the asymptotic behavior between different compression techniques is reported. We show that by applying the Kronecker product approximation, the storage of a three-dimensional demagnetizing tensor with N 6 entries can be reduced to O ( N 2 ) , showing a superlinear compression behavior. When magnetization and magnetostatic field vectors are stored in compressed forms, a superlinear speedup of a field evaluation is gained.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2009.12.004