A Survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism

  title={A Survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism},
  author={Ivan Cimr{\'a}k},
  journal={Archives of Computational Methods in Engineering},
  • I. Cimrák
  • Published 2007
  • Mathematics
  • Archives of Computational Methods in Engineering
The Landau-Lifshitz (LL)equation of micromagnetism governs rich variety of the evolution of magnetization patterns in ferromagnetic media. This is due to the complexity of physical quantities appearing in the LL equation. This complexity causes also an interesting mathematical properties of the LL equation: nonlocal character for some quantities,nonconvex side-constraints, strongly nonlinear terms. These effects influence also the numerical approximations. In this work, recent developments on… 
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    The European Physical Journal B
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