Carstensen, C., Praetorius, D., & Boiger, W. (2007). Strong convergence for large bodies in micromagnetics. Proceedings in Applied Mathematics and Mechanics, 7(1), 1151203–1151204. https://doi.org/10.1002/pamm.200700878
Management, Monitoring, Policy and Law; Geography, Planning and Development
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Abstract:
The convexified Landau-Lifshitz minimisation 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 stabilised finite
element discretisation which allows for the strong convergence of
the discrete magnetisation fields with reduced convergence order for
a uniaxial model problem.
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Research Areas:
Modelling and Simulation: 80% Computational Materials Science: 20%
