Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator

We propose and analyze a decoupled time-marching scheme for the coupling of the Landau–Lifshitz–Gilbert equation with a quasilinear diffusion equation for the spin accumulation. This model describes the interplay of magnetization and electron spin accumulation in magnetic and nonmagnetic multilayer...

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Detalles Bibliográficos
Autores principales: Abert, Claas, Hrkac, Gino, Page, Marcus, Praetorius, Dirk, Ruggeri, Michele, Suess, Dieter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Pergamon Press 2014
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4380322/
https://www.ncbi.nlm.nih.gov/pubmed/27418718
http://dx.doi.org/10.1016/j.camwa.2014.07.010
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author Abert, Claas
Hrkac, Gino
Page, Marcus
Praetorius, Dirk
Ruggeri, Michele
Suess, Dieter
author_facet Abert, Claas
Hrkac, Gino
Page, Marcus
Praetorius, Dirk
Ruggeri, Michele
Suess, Dieter
author_sort Abert, Claas
collection PubMed
description We propose and analyze a decoupled time-marching scheme for the coupling of the Landau–Lifshitz–Gilbert equation with a quasilinear diffusion equation for the spin accumulation. This model describes the interplay of magnetization and electron spin accumulation in magnetic and nonmagnetic multilayer structures. Despite the strong nonlinearity of the overall PDE system, the proposed integrator requires only the solution of two linear systems per time-step. Unconditional convergence of the integrator towards weak solutions is proved.
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spelling pubmed-43803222016-07-12 Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator Abert, Claas Hrkac, Gino Page, Marcus Praetorius, Dirk Ruggeri, Michele Suess, Dieter Comput Math Appl Article We propose and analyze a decoupled time-marching scheme for the coupling of the Landau–Lifshitz–Gilbert equation with a quasilinear diffusion equation for the spin accumulation. This model describes the interplay of magnetization and electron spin accumulation in magnetic and nonmagnetic multilayer structures. Despite the strong nonlinearity of the overall PDE system, the proposed integrator requires only the solution of two linear systems per time-step. Unconditional convergence of the integrator towards weak solutions is proved. Pergamon Press 2014-09 /pmc/articles/PMC4380322/ /pubmed/27418718 http://dx.doi.org/10.1016/j.camwa.2014.07.010 Text en © 2014 The Authors http://creativecommons.org/licenses/by/3.0/ This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/).
spellingShingle Article
Abert, Claas
Hrkac, Gino
Page, Marcus
Praetorius, Dirk
Ruggeri, Michele
Suess, Dieter
Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator
title Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator
title_full Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator
title_fullStr Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator
title_full_unstemmed Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator
title_short Spin-polarized transport in ferromagnetic multilayers: An unconditionally convergent FEM integrator
title_sort spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent fem integrator
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4380322/
https://www.ncbi.nlm.nih.gov/pubmed/27418718
http://dx.doi.org/10.1016/j.camwa.2014.07.010
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