论文信息 - Improved error estimates for a Maxwell‐Landau‐Lifschitz system

Improved error estimates for a Maxwell‐Landau‐Lifschitz system

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)

I. Cimrák | M. Slodicka

[1] Marián Slodicka,et al. A numerical scheme for a Maxwell-Landau-Lifshitz-Gilbert system , 2004, Appl. Math. Comput..

[2] Ivan Cimrák,et al. Numerical study of nonlinear ferromagnetic materials , 2003 .

[3] E Weinan,et al. Numerical Methods for the Landau-Lifshitz Equation , 2000, SIAM J. Numer. Anal..

[4] J. Joly,et al. Global Solutions to Maxwell Equations in a Ferromagnetic Medium , 2000 .

[5] Patrick Joly,et al. Mathematical and numerical studies of non linear ferromagnetic materials , 1999 .

[6] O. Vacus,et al. Error Estimates for a Numerical Scheme for Ferromagnetic Problems , 1999 .

[7] A. Bossavit. Computational Electromagnetism: Variational Formulations, Complementarity, Edge Elements , 1997 .

[8] Guo Boling,et al. Global Weak Solution for the Landau–Lifshitz–Maxwell Equation in Three Space Dimensions , 1997 .

[9] M. Cessenat. MATHEMATICAL METHODS IN ELECTROMAGNETISM: LINEAR THEORY AND APPLICATIONS , 1996 .

[10] J. Rauch,et al. Propagation des ondes électromagnétiques en présence d'un matériau ferromagnétique , 1998 .