Concise, efficient three-dimensional fast multipole method for micromagnetics

Authors
Seberino, C Bertram, HN
Citation
C. Seberino et Hn. Bertram, Concise, efficient three-dimensional fast multipole method for micromagnetics, IEEE MAGNET, 37(3), 2001, pp. 1078-1086
Citations number
19
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
IEEE TRANSACTIONS ON MAGNETICS
ISSN journal
00189464 → ACNP
Volume
37
Issue
3
Year of publication
2001
Pages
1078 - 1086
Database
ISI
SICI code
0018-9464(200105)37:3<1078:CETFMM>2.0.ZU;2-G
Abstract
This paper presents derivation of the three-dimensional (3-D) fast multipol e method for use in calculating magnetostatic fields. Many other derivation s use complex, inefficient, and awkward function normalizations. In this de rivation, tenser functions and an operator are defined that greatly simplif y the theory and implementation of the algorithm. This paper provides proof of O(N) scaling, implementation, and parallelization tips, performance res ults, and an error analysis.