TY - JOUR
T1 - An accurate and robust numerical method for micromagnetics simulations
AU - Jeong, Darae
AU - Kim, Junseok
N1 - Funding Information:
This work was supported by a Korea University Grant. The first author (D. Jeong) and the corresponding author (J.S. Kim) greatly appreciate the reviewers for their constructive comments and suggestions, which improved the quality of this paper.
PY - 2014/3
Y1 - 2014/3
N2 - 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.
AB - 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.
KW - Crank-Nicolson scheme
KW - Finite difference method
KW - Landau-Lifshitz equation
KW - Micromagnetics simulations
KW - Multigrid method
UR - http://www.scopus.com/inward/record.url?scp=84893136996&partnerID=8YFLogxK
U2 - 10.1016/j.cap.2013.12.028
DO - 10.1016/j.cap.2013.12.028
M3 - Article
AN - SCOPUS:84893136996
SN - 1567-1739
VL - 14
SP - 476
EP - 483
JO - Current Applied Physics
JF - Current Applied Physics
IS - 3
ER -
