3 papers
math.NA2026
Domain decomposition methods with Physics-informed neural networks for elliptic equations on manifolds
Yufang Jiang, Lizhen Qin, Feng Wang
We propose two numerical domain decomposition methods (DDMs) for elliptic equations on compact Riemannian manifolds, based on physics-informed neural networks (PINNs). Our approach…
math.GT2025
Self-covering, finiteness, commutativity, and fibering over tori
Lizhen Qin, Yang Su
A topological space is called self-covering if it is a nontrivial cover of itself. We prove that, under mild assumptions, a closed self-covering manifold with an abelian fundamenta…
math.SG2012
A Geometric Proof of Removal of Boundary Singularities of Pseudo-Holomorphic Curves
Urs Fuchs, Lizhen Qin
We prove two theorems on the removal of singularities on the boundary of a pseudo-holomorphic curve. In one theorem, we need no apriori assumption on the area of the curve. The pro…