A finite element approximation for the quasi-static Maxwell,Landau, Lifshitz,Gilbert equations

Kim Ngan Le, T. Tran

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Abstract

The quasi-static Maxwell,Landau,Lifshitz,Gilbert equations which describe the electromagnetic behaviour of a ferromagnetic material are highly nonlinear. Sophisticated numerical schemes are required to solve the equations, given their nonlinearity and the constraint that the solution stays on a sphere. We propose an implicit finite element solution to the problem. The resulting system of algebraic equations is linear which facilitates the solution process compared to nonlinear methods. We present numerical results to show the efficacy of the proposed method.

Original languageEnglish
Pages (from-to)C681-C698
Number of pages18
JournalANZIAM Journal
Volume54
Issue numberSUPPL
Publication statusPublished - 1 Dec 2012
Externally publishedYes

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