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Improved error estimates for a Maxwell‐Landau‐Lifschitz system
Author(s) -
Slodička Marián,
Cimrák Ivan
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410018
Subject(s) - dissipative system , computation , convergence (economics) , maxwell's equations , nonlinear system , magnetization , physics , landau–lifshitz–gilbert equation , mathematics , field (mathematics) , software package , statistical physics , software , magnetic field , computer science , mathematical analysis , quantum mechanics , algorithm , pure mathematics , economics , programming language , economic growth
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)