Fast stray field computation on tensor grids

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Exl, L.¹  Auzinger, W.²  Bance, S.¹  Gusenbauer, M.¹  Reichel, F.¹  Schrefl, T.¹ 

[1] Univ Appl Sci, Dept Technol, A-3100 St Polten, Austria

[2] Vienna Univ Technol, Inst Anal & Sci Comp, A-1040 Vienna, Austria

关键词: Micromagnetics;    Stray field;    Tensor grids;    Low-rank;    Canonical format;    Tucker tensor;   

DOI  :  10.1016/j.jcp.2011.12.030

来源: Elsevier

【 摘 要 】

A direct integration algorithm is described to compute the magnetostatic field and energy for given magnetization distributions on not necessarily uniform tensor grids. We use an analytically-based tensor approximation approach for function-related tensors, which reduces calculations to multilinear algebra operations. The algorithm scales with N-4/3 for N computational cells used and with N-2/3 (sublinear) when magnetization is given in canonical tensor format. In the final section we confirm our theoretical results concerning computing times and accuracy by means of numerical examples. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free