Mathematical Sciences - Seminar on Numerical Methods - "Convergence Analysis of a Finite Element Approximation of Minimum Action Methods" by Jiayu Zhai (UMASS Amherst)

Thursday, November 01, 2018
11:00 am to 11:50 am

Location:

Floor/Room #: 
203

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.