Splitting integrators for the Landau-Lifshitz-Gilbert equation

Description

The stochastic Landau-Lifshitz-Gilbert equation describes the magnetisation vector field of a nano- or microscale ferromagnetic material occupying a bounded domain, where the so-called effective field is subject to thermal fluctuations. An important requierement for a successful numerical Treatment is that the numerical methods respect the qualitative behaviour of the SLLG, for example the conservation of the modulus of the magnetisation vector field. In this talk we will discuss numerical methods for solving the corresponding System of SODEs after spatial discretisation. Our main Focus will be on splitting Integrators which allow a good approximation of the deterministic geometric properties of the SLLG under reasonable computational effort.

Period	24 Sept 2014
Event title	3rd Austrian Stochastics Days
Event type	Conference
Location	AustriaShow on map