Document Type
Article
Publication Date
1-1-2018
Abstract
In this work, we address the convergence of a finite element approximation of the minimizer of the Freidlin–Wentzell (F-W) action functional for nongradient dynamical systems perturbed by small noise. The F-W theory of large deviations is a rigorous mathematical tool to study small-noise-induced transitions in a dynamical system. The central task in the application of F-W theory of large deviations is to seek the minimizer and minimum of the F-W action functional. We discretize the F-W action functional using linear finite elements and establish the convergence of the approximation through G-convergence.
Publication Source (Journal or Book title)
SIAM Journal on Numerical Analysis
First Page
1597
Last Page
1620
Recommended Citation
Wan, X., Yu, H., & Zhai, J. (2018). Convergence analysis of a finite element approximation of minimum action methods. SIAM Journal on Numerical Analysis, 56 (3), 1597-1620. https://doi.org/10.1137/17M1141679