Linearized frequency domain Landau-Lifshitz-Gilbert equation formulation

Lin, Zhuonan; Lomakin, Vitaliy

doi:10.1063/9.0000609

Linearized frequency domain Landau-Lifshitz-Gilbert equation formulation

Journal Article · Thu Jan 19 00:00:00 EST 2023 · AIP Advances

DOI:https://doi.org/10.1063/9.0000609· OSTI ID:2421081

Lin, Zhuonan ^[1]; Lomakin, Vitaliy ^[2]

Univ. of California, San Diego, CA (United States); Univ. of California, San Diego, CA (United States)
Univ. of California, San Diego, CA (United States)

We present a general finite element linearized Landau-Lifshitz-Gilbert equation (LLGE) solver for magnetic systems under weak time-harmonic excitation field. The linearized LLGE is obtained by assuming a small deviation around the equilibrium state of the magnetic system. Inserting such expansion into LLGE and keeping only first order terms gives the linearized LLGE, which gives a frequency domain solution for the complex magnetization amplitudes under an external time-harmonic applied field of a given frequency. We solve the linear system with an iterative solver using generalized minimal residual method. We construct a preconditioner matrix to effectively solve the linear system. The validity, effectiveness, speed, and scalability of the linear solver are demonstrated via numerical examples.

Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019273

OSTI ID:: 2421081

Alternate ID(s):: OSTI ID: 1909964

Journal Information:: AIP Advances, Journal Name: AIP Advances Journal Issue: 1 Vol. 13; ISSN 2158-3226

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Figures / Tables (3)

FIG. 1(p. 4)

FIG. 2(p. 4)

FIG. 3(p. 5)

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36 MATERIALS SCIENCE
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Linearized frequency domain Landau-Lifshitz-Gilbert equation formulation

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