Finite-Difference Micromagnetic Solvers With the Object-Oriented Micromagnetic Framework on Graphics Processing Units

A micromagnetic solver using the finite-difference method on a graphics processing unit (GPU) and its integration with the object-oriented micromagnetic framework (OOMMF) are presented. Two approaches for computing the magnetostatic field accelerated by the fast Fourier transform are implemented. Th...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2016-04, Vol.52 (4), p.1-9
Main Authors: Fu, Sidi, Cui, Weilong, Hu, Matthew, Chang, Ruinan, Donahue, Michael J., Lomakin, Vitaliy
Format: Article
Language:English
Subjects:
Convolution
Finite difference method
Finite difference methods
Graphics Processing Unit
Graphics processing units
Magnetism
Magnetization
Magnetostatic fields
Magnetostatics
Mathematical analysis
Memory management
Micromagnetics
Object oriented
Scalars
Tensile stress
Tensors
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Summary:A micromagnetic solver using the finite-difference method on a graphics processing unit (GPU) and its integration with the object-oriented micromagnetic framework (OOMMF) are presented. Two approaches for computing the magnetostatic field accelerated by the fast Fourier transform are implemented. The first approach, referred to as the tensor approach, is based on the tensor spatial convolution to directly compute the magnetostatic field from magnetic moments. The second approach, referred to as the scalar potential approach, uses differential operator evaluation through finite differences (divergence for magnetic charge and gradient for magnetostatic field) and spatial convolution for magnetic scalar potential. Comparisons of implementation details, speed, memory consumption, and accuracy are provided. The GPU implementation of OOMMF shows up to 32\times GPU-CPU speedup.
ISSN:0018-9464
0304-8853
1941-0069
DOI:10.1109/TMAG.2015.2503262