Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 231, Issue 7, Pages 2840-2850Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2011.12.030
Keywords
Micromagnetics; Stray field; Tensor grids; Low-rank; Canonical format; Tucker tensor
Funding
- Austrian Science Fund (FWF) [SFB-ViCoM F41]
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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.
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