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D. Süss, V. Tsiantos, T. Schrefl, J. Fidler, W. Scholz, H. Forster, R. Dittrich, J.J. Miles:
"Time resolved micromagnetics using a preconditioned time integration method";
Journal of Magnetism and Magnetic Materials, 248 (2002), 298 - 311.

Time resolved micromagnetics using a preconditioned time integration method

D. Suess [Corresponding Author Contact Information] , [E-mail The Corresponding Author] , a, V. Tsiantosa, T. Schrefla, J. Fidlera, W. Scholza, H. Forstera, R. Dittricha and J. J. Milesb

a Institute of Applied and Technical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, A-1040, Vienna, Austria
b Department of Computer Science, University of Manchester, Oxford Road, Manchester M13 9PL, UK

Received 22 October 2001; revised 16 April 2002. Available online 12 June 2002.

Abstract

A detailed description for the solution of the Landau?Lifshitz?Gilbert equation with the finite element method is given. The use of implicit time integration schemes with proper preconditioning is reported. Simulations of a single-phase magnetic nanoelement without surface roughness and a magnetic nanoelement with a granular structure are performed to investigate the influence of the microstructure on the numerical behavior. Nanoelements with a granular structure cause an inhomogeneous computational grid. In granular systems preconditioning for time integration speeds up the simulations by three orders of magnitude as compared to conventional time integration schemes like the Adams method.

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