The extrapolated explicit midpoint scheme for variable order and step size controlled integration of the Landau-Lifschitz-Gilbert equation

Autor(en)

Lukas Exl, Norbert Mauser, Thomas Schrefl, Dieter Süss

Abstrakt

A practical and efficient scheme for the higher order integration of the Landau-Lifschitz-Gilbert (LLG) equation is presented. The method is based on extrapolation of the two-step explicit midpoint rule and incorporates adaptive time step and order selection. We make use of a piecewise time-linear stray field approximation to reduce the necessary work per time step. The approximation to the interpolated operator is embedded into the extrapolation process to keep in step with the hierarchic order structure of the scheme. We verify the approach by means of numerical experiments on a standardized NIST problem and compare with a higher order embedded Runge-Kutta formula. The efficiency of the presented approach increases when the stray field computation takes a larger portion of the costs for the effective field evaluation.

Organisation(en)

Institut für Mathematik, Physik Funktioneller Materialien

Externe Organisation(en)

Universität für Weiterbildung Krems

Journal

Journal of Computational Physics

Band

346

Seiten

14-24

Anzahl der Seiten

11

ISSN

0021-9991

DOI

https://doi.org/10.1016/j.jcp.2017.06.005

Publikationsdatum

10-2017

Peer-reviewed

Ja

ÖFOS 2012

101014 Numerische Mathematik, 103017 Magnetismus

Schlagwörter

ASJC Scopus Sachgebiete

Computational Mathematics, Allgemeine Physik und Astronomie, Applied Mathematics, Numerical Analysis, Computer Science Applications, Modelling and Simulation, Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/9d9cfb2a-4108-4a1f-b16d-5edfcf9351ab