Title :
Concise, efficient three-dimensional fast multipole method for micromagnetics
Author :
Seberino, Christian ; Bertram, H. Neal
Author_Institution :
Center for Magnetic Recording Res., California Univ., San Diego, La Jolla, CA, USA
fDate :
5/1/2001 12:00:00 AM
Abstract :
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
Keywords :
error analysis; magnetic fields; magnetisation; magnetostatics; error analysis; function normalizations; magnetostatic fields; micromagnetics; parallelization; scaling; tensor functions; three-dimensional fast multipole method; Computational modeling; Electromagnetic fields; Error analysis; Fast Fourier transforms; Helium; Lattices; Magnetic recording; Magnetostatics; Micromagnetics; Tensile stress;
Journal_Title :
Magnetics, IEEE Transactions on
