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arXiv · 1109.5878

Fast stray field computation on tensor grids

Lukas Exl·Winfried Auzinger·Simon Bance·Markus Gusenbauer·Franz Reichel·Thomas Schrefl
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Abstract

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.

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Lukas Exl, Winfried Auzinger, Simon Bance, Markus Gusenbauer, Franz Reichel, Thomas Schrefl. 2011-09-27. Fast stray field computation on tensor grids. https://doi.org/10.1016/j.jcp.2011.12.030

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