Fast stray field computation on tensor grids

Exl, Lukas; Auzinger, Winfried; Bance, Simon; Gusenbauer, Markus; Reichel, Franz; Schrefl, T.

doi:10.1016/j.jcp.2011.12.030

Cited by 25 publications

(32 citation statements)

References 16 publications

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“…The Slonczewski model describes the spin torque in multilayers in terms of a macrospin approach. The characteristic properties of this model are the angular dependencies η damp pϑq and η field pϑq of the torques defined in (127) and (128). While the original angular dependency proposed by Slonczewski (132) is predicted to be valid for structures with two similar magnetic layers, the more general form (133) is expected to work also for asymmetric structures.…”

Section: Slonczewski Modelmentioning

confidence: 99%

Micromagnetics and spintronics: models and numerical methods

Abert

2019

Eur. Phys. J. B

108

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Computational micromagnetics has become an indispensable tool for the theoretical investigation of magnetic structures. Classical micromagnetics has been successfully applied to a wide range of applications including magnetic storage media, magnetic sensors, permanent magnets and more. The recent advent of spintronics devices has lead to various extensions to the micromagnetic model in order to account for spin-transport effects. This article aims to give an overview over the analytical micromagnetic model as well as its numerical implementation. The main focus is put on the integration of spin-transport effects with classical micromagnetics.

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Section: Slonczewski Modelmentioning

confidence: 99%

Micromagnetics and spintronics: models and numerical methods

Abert

2019

Eur. Phys. J. B

108

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“…Indeed, the application of such techniques has grown rapidly: micromagnetics [96][97][98], model order reduction [99,100], big data [101][102][103], signal processing [104][105][106][107], control design [108,109], and electronic design automation [93].…”

Section: Efficient Sampling Strategies For High-dimensional Problemsmentioning

confidence: 99%

Review of Polynomial Chaos-Based Methods for Uncertainty Quantification in Modern Integrated Circuits

2018

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Advances in manufacturing process technology are key ensembles for the production of integrated circuits in the sub-micrometer region. It is of paramount importance to assess the effects of tolerances in the manufacturing process on the performance of modern integrated circuits. The polynomial chaos expansion has emerged as a suitable alternative to standard Monte Carlo-based methods that are accurate, but computationally cumbersome. This paper provides an overview of the most recent developments and challenges in the application of polynomial chaos-based techniques for uncertainty quantification in integrated circuits, with particular focus on high-dimensional problems.

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“…Scalar potential methods also use FFT-based convolutions but reduce to a point-wise tensor-scalar product in Fourier space [6,7]. Other methods include Fourier-transform methods on irregular grids [8], fast-multipole methods [9,10], non-uniform grid methods [11] and tensor-grid methods [12,13,14]. From all these methods the FFT-based convolution method with tensor-vector multiplication in Fourier-space is arguably the most widely used as it is the default method in the established finite-difference micromagnetic codes of the OOMMF project [15], mumax3 [16] and fidimag [17].…”

Section: Introductionmentioning

confidence: 99%

Hybrid FFT algorithm for fast demagnetization field calculations on non-equidistant magnetic layers

Heistracher

Bruckner

Abert

et al. 2020

Journal of Magnetism and Magnetic Materials

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In micromagnetic simulations, the demagnetization field is by far the computationally most expensive field component and often a limiting factor in large multilayer systems. We present an exact method to calculate the demagnetization field of magnetic layers with arbitrary thicknesses. In this approach we combine the widely used fast-Fourier-transform based circular convolution method with an explicit convolution using a generalized form of the Newell formulas. We implement the method both for central processors and graphics processors and find that significant speedups for irregular multilayer geometries can be achieved. Using this method we optimize the geometry of a magnetic random-access memory cell by varying a single specific layer thickness and simulate a hysteresis curve to determine the resulting switching field.

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Fast stray field computation on tensor grids

Cited by 25 publications

References 16 publications

Micromagnetics and spintronics: models and numerical methods

Micromagnetics and spintronics: models and numerical methods

Review of Polynomial Chaos-Based Methods for Uncertainty Quantification in Modern Integrated Circuits

Hybrid FFT algorithm for fast demagnetization field calculations on non-equidistant magnetic layers

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