تقرير
Fast stray field computation on tensor grids
العنوان: | Fast stray field computation on tensor grids |
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المؤلفون: | Exl, Lukas, Auzinger, Winfried, Bance, Simon, Gusenbauer, Markus, Reichel, Franz, Schrefl, Thomas |
المصدر: | J. Comput. Phys. 231 (2012) 2840-2850 |
سنة النشر: | 2011 |
المجموعة: | Mathematics Physics (Other) |
مصطلحات موضوعية: | Physics - Computational Physics, Mathematics - Numerical Analysis |
الوصف: | 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 Physics |
نوع الوثيقة: | Working Paper |
DOI: | 10.1016/j.jcp.2011.12.030 |
URL الوصول: | http://arxiv.org/abs/1109.5878 |
رقم الأكسشن: | edsarx.1109.5878 |
قاعدة البيانات: | arXiv |
DOI: | 10.1016/j.jcp.2011.12.030 |
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