University of Birmingham > Talks@bham > Applied Mathematics Seminar Series > Numerical integration of the Landau-Lifshitz-Gilbert equation

Numerical integration of the Landau-Lifshitz-Gilbert equation

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  • UserDirk Praetorius (Vienna University of Technology)
  • ClockThursday 07 January 2016, 12:00-13:00
  • HouseAston Webb WG12.

If you have a question about this talk, please contact Alex Bespalov.

The nonlinear Landau-Lifshitz-Gilbert equation (LLG) describes time-dependent micromagnetic phenomena in terms of a magnetization field m which solves LLG . Numerical challenges arise from an inherent non-convex constraint |m| = 1 and a possibly nonlinear coupling with other partial differential equations to describe, e.g., magnetostrictive effects or the interaction of m with spin-polarized currents. In our talk, we will discuss numerical integrators which are proved to be unconditionally convergent in the sense that any CFL -type coupling of the space discretization and the time stepping is avoided. A particular focus will be on IMEX -type integrators which also decouple the time stepping of LLG and the coupled second PDE .

This talk is part of the Applied Mathematics Seminar Series series.

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