An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism

Ľubomír Baňas

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 8, 1657-1663

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.

Keywords: Ferromagnetism; Maxwell-Landau-Lifshitz-Gilbert equations; Finite elements; Multigrid; Preconditioner (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:8:p:1657-1663

DOI: 10.1016/j.matcom.2009.02.009

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