Joint USYD-UNSW seminar on stochastic PDEs: Thanh Tran (UNSW) -- Holomorphic regularity and approximation of the stochastic Landau-Lifshitz-Gilbert equation

Room 3085, Red Centre, UNSW or online: https://unsw.zoom.us/j/83425275881?from=addon
Meeting ID: 83425275881 Password: 041345

The Doss--Sussmann transformation reformulates the stochastic Landau-Lifshitz-Gilbert
(LLG) equation into a PDE with random coefficients.  These coefficients can be
parametrised, resulting in a parametric PDE with possibly infinitely many parameters.
Holomorphic regularity of the solution with respect to these parameters is established
and exploited in convergence analysis of the approximation in the parameter direction.
Together with the usual finite-element approximation in the spatial direction, this
yields an efficient numerical solution to the LLG equation.  This is a joint work with
Xin An and Josef Dick at UNSW, and with Michael Feischl and Andrea Scaglioni at TU
Wien.