An efficient multigrid preconditioner for Maxwell's equations in micromagnetism

Lubomir Banas

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider a system of Maxwell's and Landau-Lifshitz-Gilbert equations describing magnetization dynamics in micromagnetism. The problem is discretized by a convergent, unconditionally stable finite element method. A multigrid preconditioned Uzawa type method for the solution of the algebraic system resulting from the discretized Maxwell's equations is constructed. The efficiency of the method is demonstrated on numerical experiments and the results are compared to those obtained by simplified models. © 2009 IMACS.

Original languageEnglish
Pages (from-to)1657-1663
Number of pages7
JournalMathematics and Computers in Simulation
Volume80
Issue number8
DOIs
Publication statusPublished - Apr 2010

Keywords

  • Ferromagnetism
  • Finite elements
  • Maxwell-Landau-Lifshitz-Gilbert equations
  • Multigrid
  • Preconditioner

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