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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Andreas Prohl
Universitat Tubingen, Germany
Title: Numerical Analysis for the Stochastic Landau-Lifshitz-Gilbert Equation

Abstract: Thermally activated magnetization dynamics is modelled by the stochastic Landau-Lifshitz-Gilbert equation, where the stochastic term is understood in Stratonovich sense. A finite element based space-time discretization is proposed, where iterates conserve the unit-length constraint at nodal points of the mesh (`saturation magnetization'), satisfy an energy inequality, and construct weak martingale solutions of the limiting problem for vanishing discretization parameters. The talk focuses on main problems to solve resp. tools to show the needed stability and compactness properties of iterates for the construction process, which are caused by restricted local flexibility, and regularity properties of used finite element functions. Computational studies will be presented which motivate interesting dynamics.

This is joint work with L. Banas (HW Edinburgh) and Z. Brzezniak (U York).

Date: Tuesday, April 20, 2010
Time: 1:30 pm
Location: PPB 300