Kronecker product approximation of demagnetizing tensors for micromagnetics

被引:10
|
作者
Goncharov, A. V. [1 ]
Hrkac, G. [1 ]
Dean, J. S. [1 ]
Schrefl, T. [1 ,2 ]
机构
[1] Univ Sheffield, Dept Mat Engn, Sheffield, S Yorkshire, England
[2] St Poelten Univ Appl Sci, Dept Comp Sci, St Polten, Austria
关键词
Micromagnetics; Fast field; Low-rank; MULTIDIMENSIONAL NONLOCAL OPERATORS; PARAFAC;
D O I
10.1016/j.jcp.2009.12.004
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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 (C) 2009 Elsevier Inc All rights reserved.
引用
收藏
页码:2544 / 2549
页数:6
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