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A numerical method for the Landau–Lifshitz equation with magnetostriction

✍ Scribed by L'ubomír Baňas

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
140 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We present a numerical scheme for Landau–Lifshitz–Gilbert equation coupled with the equation of elastodynamics. The considered physical model describes the behaviour of ferromagnetic materials when magnetomechanical coupling is taken into account. The time‐discretization is based on the backward Euler method with projection. In the numerical approximation, the two equations are decoupled by a suitable linearization in order to solve the magnetic and mechanic part separately. The resulting semi‐implicit scheme is linear and allows larger time‐steps than explicit methods. We prove stability and error estimates for the presented time discretization in 2D. Finally, we test the accuracy of the scheme on an academic numerical example with known exact solution. Copyright © 2005 John Wiley & Sons, Ltd.

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