2021
DOI: 10.1038/s41598-021-88541-9
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Strayfield calculation for micromagnetic simulations using true periodic boundary conditions

Abstract: We present methods for calculating the strayfield in finite element and finite difference micromagnetic simulations using true periodic boundary conditions. In contrast to pseudo periodic boundary conditions, which are widely used in micromagnetic codes, the presented methods eliminate the shape anisotropy originating from the outer boundary. This is a crucial feature when studying the influence of the microstructure on the performance of composite materials, which is demonstrated by hysteresis calculations of… Show more

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Cited by 11 publications
(7 citation statements)
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“…This is crucial when simulating the microstructure of magnetic materials. The differential version of the corresponding Maxwell equations can be solved efficiently by means of the Fast Fourier Transfrom, which intrinsically fulfills the proper periodic boundary conditions [28].…”
Section: Demagnetization Fieldmentioning
confidence: 99%
“…This is crucial when simulating the microstructure of magnetic materials. The differential version of the corresponding Maxwell equations can be solved efficiently by means of the Fast Fourier Transfrom, which intrinsically fulfills the proper periodic boundary conditions [28].…”
Section: Demagnetization Fieldmentioning
confidence: 99%
“…This is crucial when simulating the microstructure of magnetic materials. The differential version of the corresponding Maxwell equations can be solved efficiently by means of the Fast Fourier Transfrom, which intrinsically fulfills the proper periodic boundary conditions 29 .…”
Section: Field Termsmentioning
confidence: 99%
“…Here, we propose using auto-differentiation tools from DL frameworks (Torch 28 )-not to train a neural network for generalizing across multiple spectra, but to perform highly efficient fitting on every individual spectrum. Although similar concepts have been recently applied to curve fitting in other fields, [29][30][31] to the best of our knowledge, this approach has not been previously applied for metabolite fitting in MRSI.…”
Section: Introductionmentioning
confidence: 99%