Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy

@article{Carstensen2012StabilisationYS,
  title={Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy},
  author={Carsten Carstensen and Dirk Praetorius},
  journal={J. Num. Math.},
  year={2012},
  volume={20},
  pages={81-110}
}
The convexified Landau-Lifshitz minimization problem in micromagnetics leads to a degenerate variational problem. Therefore strong convergence of finite element approximations cannot be expected in general. This paper introduces a stabilized finite element discretization which allows for the strong convergence of the discrete magnetization fields with… CONTINUE READING