Center for Nonlinear Analysis
CNA Home
People
Seminars
Publications
Workshops and Conferences
CNA Working Groups
CNA Comments Form
Summer Schools
Summer Undergraduate Institute
PIRE
Cooperation
Graduate Topics Courses
SIAM Chapter Seminar
Positions
Contact |
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, 2010Time: 1:30 pmLocation: PPB 300 |