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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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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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creator	Fu, Sidi Cui, Weilong Hu, Matthew Chang, Ruinan Donahue, Michael J. Lomakin, Vitaliy
description	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.
doi_str_mv	10.1109/TMAG.2015.2503262
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source	ScienceDirect Freedom Collection; IEEE Electronic Library (IEL) Journals
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
title	Finite-Difference Micromagnetic Solvers With the Object-Oriented Micromagnetic Framework on Graphics Processing Units
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