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...

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Détails bibliographiques
Publié dans:	Journal of computational physics. - 1986. - 231(2012), 7 vom: 01. Apr., Seite 2840-2850
Auteur principal:	Exl, L (Auteur)
Autres auteurs:	Auzinger, W, Bance, S, Gusenbauer, M, Reichel, F, Schrefl, T
Format:	Article
Langue:	English
Publié:	2012
Accès à la collection:	Journal of computational physics
Sujets:	Journal Article Canonical format Low-rank Micromagnetics Stray field Tensor grids Tucker tensor


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245	1	0	\|a Fast stray field computation on tensor grids
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520			\|a 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 N4/3 for N computational cells used and with N2/3 (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
650		4	\|a Journal Article
650		4	\|a Canonical format
650		4	\|a Low-rank
650		4	\|a Micromagnetics
650		4	\|a Stray field
650		4	\|a Tensor grids
650		4	\|a Tucker tensor
700	1		\|a Auzinger, W \|e verfasserin \|4 aut
700	1		\|a Bance, S \|e verfasserin \|4 aut
700	1		\|a Gusenbauer, M \|e verfasserin \|4 aut
700	1		\|a Reichel, F \|e verfasserin \|4 aut
700	1		\|a Schrefl, T \|e verfasserin \|4 aut
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