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Structure preserving finite difference scheme for the Landau-Lifshitz equation with applied magnetic field

Abstract / Introduction Related Papers Cited by
  • In this short paper we propose a finite difference scheme for the Landau-Lifshitz equation and an iteration procedure to solve the scheme. The key concept is ``structure-preserving''. We show that the proposed method inherits important mathematical structures from the original problem and also analysis the iteration.
    Mathematics Subject Classification: Primary: 65M06, 35K55; Secondary: 35Q60.

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    Sören Bartels and Andreas Prohl, Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation, SIAM J. NUMER. ANAL. Vol. 44 (2006), pp.1405-1419.

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