Exl, L., Auzinger, W., Bance, S., Gusenbauer, M., Reichel, F., & Schrefl, T. (2012). Fast stray field computation on tensor grids. Journal of Computational Physics, 231(7), 2840–2850. https://doi.org/10.1016/j.jcp.2011.12.030
Computer Science Applications; Applied Mathematics; Modeling and Simulation; Computational Mathematics; Numerical Analysis; Physics and Astronomy (miscellaneous)
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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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Research Areas:
Modelling and Simulation: 25% Mathematical and Algorithmic Foundations: 50% Computational Materials Science: 25%
