Thursday, November 01, 2018
11:00-11:50 am, Room SH 203
Jiayu Zhai (UMASS Amherst)
Convergence Analysis of a Finite Element Approximation of Minimum Action Methods
Abstract. The Freidlin-Wentzell (F-W) theory of large deviations is a rigorous mathematical tool to study small-noise-induced transitions in a dynamical system as rare events. In this work, we address the convergence of a finite element approximation of the minimizer of the F-W action functional for non-gradient dynamical systems perturbed by small noise.