arXiv cs.LG
· Papers
Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(Omega)$ A Priori Error Bounds with Application to Mean Escape Time Computation
arXiv:2607.19167v1 Announce Type: cross Abstract: Motivated by the numerical computation of the Mean Escape Time (MET) $tau:Omegatomathbb{R}$ of a stochastic process from a bounded domain $Omegasubseteqmathbb{R}^d$, we study elliptic Dirichlet boundary value problems (BVPs) using boundary-enforced Physics-Inform