Concise, efficient three-dimensional fast multipole method for micromagnetics

This paper presents derivation of the three-dimensional (3-D) fast multipole method for use in calculating magnetostatic fields. Many other derivations use complex, inefficient, and awkward function normalizations. In this derivation, tensor functions and an operator are defined that greatly simplif...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2001-05, Vol.37 (3), p.1078-1086
Main Authors: Seberino, C., Bertram, H.N.
Format: Article
Language:English
Subjects:
Algorithms
Applied classical electromagnetism
Computational modeling
Derivation
Electromagnetic fields
Electromagnetism
electron and ion optics
Error analysis
Exact sciences and technology
Fast Fourier transforms
Fundamental areas of phenomenology (including applications)
Helium
Lattices
Magnetic recording
Magnetism
Magnetostatic fields
Magnetostatics
Magnetostatics
magnetic shielding, magnetic induction, boundary-value problems
Mathematical analysis
Micromagnetics
Multipoles
Operators
Physics
Tensile stress
Tensors
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Summary:This paper presents derivation of the three-dimensional (3-D) fast multipole method for use in calculating magnetostatic fields. Many other derivations use complex, inefficient, and awkward function normalizations. In this derivation, tensor functions and an operator are defined that greatly simplify the theory and implementation of the algorithm. This paper provides proof of O(N) scaling, implementation, and parallelization tips, performance results, and an error analysis.
ISSN:0018-9464
1941-0069
DOI:10.1109/20.920479