title: Fast stray field computation on tensor grids.
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 withN4/3forNcomputational cells used and withN2/3(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.
authors.affiliation: University of Applied Sciences, Department of Technology, Matthias Corvinus-Straße 15, A-3100 St. Pölten, Austria.
authors.forename: L
authors.initials: L
authors.lastname: Exl
authors.affiliation: Vienna University of Technology, Institute for Analysis and Scientific Computing, A-1040 Vienna, Austria.
authors.forename: W
authors.initials: W
authors.lastname: Auzinger
authors.affiliation: University of Applied Sciences, Department of Technology, Matthias Corvinus-Straße 15, A-3100 St. Pölten, Austria.
authors.forename: S
authors.initials: S
authors.lastname: Bance
authors.affiliation: University of Applied Sciences, Department of Technology, Matthias Corvinus-Straße 15, A-3100 St. Pölten, Austria.
authors.forename: M
authors.initials: M
authors.lastname: Gusenbauer
authors.affiliation: University of Applied Sciences, Department of Technology, Matthias Corvinus-Straße 15, A-3100 St. Pölten, Austria.
authors.forename: F
authors.initials: F
authors.lastname: Reichel
authors.affiliation: University of Applied Sciences, Department of Technology, Matthias Corvinus-Straße 15, A-3100 St. Pölten, Austria.
authors.forename: T
authors.initials: T
authors.lastname: Schrefl
keywords: Canonical format; Low-rank; Micromagnetics; Stray field; Tensor grids; Tucker tensor