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Fast stray field computation on tensor grids
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.Comment: 16 pages, 1 figure, submitted to the Journal of Computational Physic
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