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Improved error estimates for a Maxwell-Landau-Lifschitz system

  1. Marián Slodička*,
  2. Ivan Cimrák†

Article first published online: 5 NOV 2004

DOI: 10.1002/pamm.200410018

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 71–74, December 2004

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How to Cite

Slodička, M. and Cimrák, I. (2004), Improved error estimates for a Maxwell-Landau-Lifschitz system. Proc. Appl. Math. Mech., 4: 71–74. doi: 10.1002/pamm.200410018

Author Information

  1. Department of Mathematical Analysis, Ghent University, Galglaan 2, B-9000 Gent, Belgium

  1. †

    Ivan Cimrák was supported by the IAP Project P5/34 of the Belgian Science Policy.

*Phone: +00 32 9 264 4950, Fax: +00 32 9 264 4987

Publication History

  1. Issue published online: 5 NOV 2004
  2. Article first published online: 5 NOV 2004

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Abstract

We study Maxwell's system coupled with the Landau-Lifshitz (LL) equation. We consider the nonlinear dissipative case with a neglected exchange field. For a recent numerical scheme conserving magnitude of the magnetization we derive new error estimates and establish a better rate of convergence. These theoretical results are demonstrated on a numerical example. For computations we use the software package ALBERT. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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