Abstract
This paper describes a large-scale micromagnetic simulation by using the fast multipole method (FMM) specialized for uniform brick elements. The fast Fourier transform (FFT) is widely used to reduce computational costs of the demagnetizing field calculation. However, the FFT still requires operation counts of O (N log N), where N is the number of elements, which results in the huge computational costs in large-scale problems. To overcome the difficulties, we develop an O (N) approach based on the FMM. In a micromagnetic simulation, an analyzed region is usually subdivided into uniform elements. By making the best use of the periodic structure of uniformly distributed elements, the computational costs of the FMM can be reduced drastically. A large-scale micromagnetic simulation of a single-pole-type head demonstrates the effectiveness of the specialized FMM from the viewpoints of calculation time and memory requirements, compared with the FFT.
| Original language | English |
|---|---|
| Article number | 07D514 |
| Journal | Journal of Applied Physics |
| Volume | 105 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2009 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Micromagnetic simulation by using the fast multipole method specialized for uniform brick elements. / Takahashi, Y.; Wakao, Shinji; Iwashita, T.; Kanazawa, M.
In: Journal of Applied Physics, Vol. 105, No. 7, 07D514, 2009.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Micromagnetic simulation by using the fast multipole method specialized for uniform brick elements
AU - Takahashi, Y.
AU - Wakao, Shinji
AU - Iwashita, T.
AU - Kanazawa, M.
PY - 2009
Y1 - 2009
N2 - This paper describes a large-scale micromagnetic simulation by using the fast multipole method (FMM) specialized for uniform brick elements. The fast Fourier transform (FFT) is widely used to reduce computational costs of the demagnetizing field calculation. However, the FFT still requires operation counts of O (N log N), where N is the number of elements, which results in the huge computational costs in large-scale problems. To overcome the difficulties, we develop an O (N) approach based on the FMM. In a micromagnetic simulation, an analyzed region is usually subdivided into uniform elements. By making the best use of the periodic structure of uniformly distributed elements, the computational costs of the FMM can be reduced drastically. A large-scale micromagnetic simulation of a single-pole-type head demonstrates the effectiveness of the specialized FMM from the viewpoints of calculation time and memory requirements, compared with the FFT.
AB - This paper describes a large-scale micromagnetic simulation by using the fast multipole method (FMM) specialized for uniform brick elements. The fast Fourier transform (FFT) is widely used to reduce computational costs of the demagnetizing field calculation. However, the FFT still requires operation counts of O (N log N), where N is the number of elements, which results in the huge computational costs in large-scale problems. To overcome the difficulties, we develop an O (N) approach based on the FMM. In a micromagnetic simulation, an analyzed region is usually subdivided into uniform elements. By making the best use of the periodic structure of uniformly distributed elements, the computational costs of the FMM can be reduced drastically. A large-scale micromagnetic simulation of a single-pole-type head demonstrates the effectiveness of the specialized FMM from the viewpoints of calculation time and memory requirements, compared with the FFT.
UR - http://www.scopus.com/inward/record.url?scp=65249183286&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=65249183286&partnerID=8YFLogxK
U2 - 10.1063/1.3068012
DO - 10.1063/1.3068012
M3 - Article
AN - SCOPUS:65249183286
VL - 105
JO - Journal of Applied Physics
JF - Journal of Applied Physics
SN - 0021-8979
IS - 7
M1 - 07D514
ER -