A convergent and precise finite element scheme for Landau–Lifschitz–Gilbert equation

Alouges, François; Kritsikis, Evaggelos; Steiner, Jutta; Toussaint, Jean-Christophe

doi:10.1007/s00211-014-0615-3

Cited by 50 publications

(73 citation statements)

References 16 publications

(35 reference statements)

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“…Micromagnetic simulations were performed with our homemade finite-elements code FeeLLGood [36,37], which solves the Landau-Lifshitz-Gilbert equation [38]. We focused on material parameters close to those of permalloy: saturation induction µ 0 M s = 1 T, exchange stiffness A = 10 pJ/m, and no magnetocrystalline anisotropy.…”

Section: Methodsmentioning

confidence: 99%

Bloch-point-mediated topological transformations of magnetic domain walls in cylindrical nanowires

et al. 2019

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Cylindrical nanowires made of soft magnetic materials, in contrast to thin strips, may host domain walls of two distinct topologies. Unexpectedly, we evidence experimentally the dynamic transformation of topology upon wall motion above a field threshold. Micromagnetic simulations highlight the underlying precessional dynamics for one way of the transformation, involving the nucleation of a Bloch-point singularity, however, fail to reproduce the reverse process. This rare discrepancy between micromagnetic simulations and experiments raises fascinating questions in material and computer science.

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Section: Methodsmentioning

confidence: 99%

Bloch-point-mediated topological transformations of magnetic domain walls in cylindrical nanowires

et al. 2019

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“…It combines a linear inner iteration with a renormalization stage for the nodal magnetization for which a rigourous proof of convergence was established (Alouges et al, 2012(Alouges et al, , 2014. The first code is the finite differences OOMMF (http://math.nist.gov/oommf/).…”

Section: Methodsmentioning

confidence: 99%

Head-to-head domain walls in one-dimensional nanostructures

Jamet

Rougemaille

Toussaint

et al. 2015

Magnetic Nano- And Microwires

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“…In this section we describe the domain wall behavior under applied current. For the sake of providing a realistic picture even when crossing the modulation, we immediately jump to the case of the smooth diameter modulation given by the tanh-based profile formula (9) and schematized in figure 14(a). The wire axis is again taken as the z direction.…”

Section: Modulation Under Applied Currentmentioning

confidence: 99%