A Crank-Nicolson scheme for the Landau-Lifshitz equation without damping
Journal of Computational and Applied Mathematics
Some Aspects of the Existence of Minimizers for a Nonlocal Integral Functional in Dimension One
SIAM Journal on Control and Optimization
Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
A Splitting Method for Orthogonality Constrained Problems
Journal of Scientific Computing
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Micromagnetics is a continuum variational theory describing magnetization patterns in ferromagnetic media. Its multiscale nature due to different inherent spatiotemporal physical and geometric scales, together with nonlocal phenomena and a nonconvex side-constraint, leads to rich behavior and pattern formation. This variety of effects is also the reason for severe problems in analysis, model validation, reductions, and numerics, which have only recently been accessed and are reviewed in this work.