An accurate and robust numerical method for micromagnetics simulations

Darae Jeong, Junseok Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We propose a new robust, accurate, and fast numerical method for solving the Landau-Lifshitz equation which describes the relaxation process of the magnetization distribution in ferromagnetic material. The proposed numerical method is second-order accurate in both space and time. The approach uses the nonlinear multigrid method for handling the nonlinearities at each time step. We perform numerical experiments to show the efficiency and accuracy of the new algorithm on two- and three-dimensional space. The numerical results show excellent agreements with exact analytical solutions, the second-order accuracy in both space and time, and the energy conservation or dissipation property.

Original languageEnglish
Pages (from-to)476-483
Number of pages8
JournalCurrent Applied Physics
Volume14
Issue number3
DOIs
Publication statusPublished - 2014 Mar

Keywords

  • Crank-Nicolson scheme
  • Finite difference method
  • Landau-Lifshitz equation
  • Micromagnetics simulations
  • Multigrid method

ASJC Scopus subject areas

  • Materials Science(all)
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'An accurate and robust numerical method for micromagnetics simulations'. Together they form a unique fingerprint.

  • Cite this