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A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism. (English) Zbl 1206.78008
The author reviews some numerical methods dealing with various forms of the Landau-Lifshitz equation. In the first part of the paper, the author develops the micromagnetic model and there are recalled some basic properties of the micromagnetic system. Next, numerical schemes are studied for which no rigorous convergence analysis is known, as well as some methods for which convergence results have been deeply understood. In the last part of this paper, several computational studies are performed presenting the behavior of the selected schemes. A particular example deals with adaptivity strategies for the Landau-Lifshitz equation.

78A25General electromagnetic theory
76E25Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
78M25Numerical methods in optics
Full Text: DOI
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