Nonuniform grid algorithm for fast calculation of magnetostatic interactions in micromagnetics

Boris Livshitz; Amir Boag; H. Neal Bertram; Vitaliy Lomakin

doi:10.1063/1.3076048

Nonuniform grid algorithm for fast calculation of magnetostatic interactions in micromagnetics

Boris Livshitz^*, Amir Boag, H. Neal Bertram, Vitaliy Lomakin

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

A nonuniform grid (NG) algorithm for rapidly computing magnetostatic field for micromagnetic simulations is described. The algorithm relies on spatial NG representation of the potential from the source boxes and local interpolation. Multilevel implementations of the algorithm result in a linear computational complexity with respect to the number of effective magnetic charges and observers. The algorithm is highly adaptive with respect to structure's geometry, i.e., it becomes automatically faster for low dimensional configurations such as quasiplanar bit patterned medium arrays.

Original language	English
Article number	07D541
Journal	Journal of Applied Physics
Volume	105
Issue number	7
DOIs	https://doi.org/10.1063/1.3076048
State	Published - 2009

Access to Document

10.1063/1.3076048

Cite this

@article{0ea3293ca7244f3aa70d7bdd9f716299,

title = "Nonuniform grid algorithm for fast calculation of magnetostatic interactions in micromagnetics",

abstract = "A nonuniform grid (NG) algorithm for rapidly computing magnetostatic field for micromagnetic simulations is described. The algorithm relies on spatial NG representation of the potential from the source boxes and local interpolation. Multilevel implementations of the algorithm result in a linear computational complexity with respect to the number of effective magnetic charges and observers. The algorithm is highly adaptive with respect to structure's geometry, i.e., it becomes automatically faster for low dimensional configurations such as quasiplanar bit patterned medium arrays.",

author = "Boris Livshitz and Amir Boag and Bertram, {H. Neal} and Vitaliy Lomakin",

year = "2009",

doi = "10.1063/1.3076048",

language = "אנגלית",

volume = "105",

journal = "Journal of Applied Physics",

issn = "0021-8979",

publisher = "American Institute of Physics",

number = "7",

}

TY - JOUR

T1 - Nonuniform grid algorithm for fast calculation of magnetostatic interactions in micromagnetics

AU - Livshitz, Boris

AU - Boag, Amir

AU - Bertram, H. Neal

AU - Lomakin, Vitaliy

PY - 2009

Y1 - 2009

N2 - A nonuniform grid (NG) algorithm for rapidly computing magnetostatic field for micromagnetic simulations is described. The algorithm relies on spatial NG representation of the potential from the source boxes and local interpolation. Multilevel implementations of the algorithm result in a linear computational complexity with respect to the number of effective magnetic charges and observers. The algorithm is highly adaptive with respect to structure's geometry, i.e., it becomes automatically faster for low dimensional configurations such as quasiplanar bit patterned medium arrays.

AB - A nonuniform grid (NG) algorithm for rapidly computing magnetostatic field for micromagnetic simulations is described. The algorithm relies on spatial NG representation of the potential from the source boxes and local interpolation. Multilevel implementations of the algorithm result in a linear computational complexity with respect to the number of effective magnetic charges and observers. The algorithm is highly adaptive with respect to structure's geometry, i.e., it becomes automatically faster for low dimensional configurations such as quasiplanar bit patterned medium arrays.

UR - http://www.scopus.com/inward/record.url?scp=65249085746&partnerID=8YFLogxK

U2 - 10.1063/1.3076048

DO - 10.1063/1.3076048

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:65249085746

SN - 0021-8979

VL - 105

JO - Journal of Applied Physics

JF - Journal of Applied Physics

IS - 7

M1 - 07D541

ER -

Nonuniform grid algorithm for fast calculation of magnetostatic interactions in micromagnetics

Abstract

Access to Document

Other files and links

Fingerprint

Cite this