Fast stray field computation on tensor grids

التفاصيل البيبلوغرافية
العنوان: Fast stray field computation on tensor grids
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
الوصف
DOI:10.1016/j.jcp.2011.12.030