Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(\hat{I}\text{c◯})$ A Priori Error Bounds with Application to Mean Escape Time Computation

Nathanael Tepakbong, Jun Fan, Xiang Zhou +1

Motivated by the numerical computation of the Mean Escape Time (MET) $\ddot{I}„:\hat{I}\text{c◯}\to \mathbb{R}$ of a stochastic process from a bounded domain $\hat{I}\text{c◯}\subseteq {\mathbb{R}}^d$, we study elliptic…