FAST ADAPTIVE ALGORITHMS FOR MICROMAGNETICS

被引:82
作者
YUAN, SW
BERTRAM, HN
机构
[1] Center for Magnetic Recording Research, University of California, San Diego, La Jolla, CA
基金
美国国家科学基金会;
关键词
D O I
10.1109/20.179394
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Evaluation of the long range magnetostatic field is the most time-consuming part in a micromagnetic simulation. In a magnetic system with N particles, the traditional direct pairwise summation method yields O(N2) asymptotic computation time. Here an adaptive fast algorithm fully implementing the multipole and local expansions of the field integral is shown to yield O(N) computation time. Fast Fourier transform techniques are generalized to entail finite size magnetic systems with nonperiodic boundary conditions, yielding O(N log2 N) computation time. Examples are given for calculating domain wall structures in Permalloy thin films. The efficiency or the fast Fourier transform makes it almost always the faster method for any large size system, while the multipole algorithm remains effective for more complex geometries and systems with highly irregular or nonuniform particle distributions.
引用
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页码:2031 / 2036
页数:6
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