2 papers
physics.flu-dyn2026
Pressure reconstruction from error-embedded gradient measurements: a Gaussian-process generalization of Green's function integration
Zejian You, Mohamed Amine Abassi, Xiaofeng Liu +1
Reconstructing scalar fields from error-embedded gradient measurements is a fundamental linear inverse problem with broad applications in computational physics. Conventional approa…
cs.LG2026
Finite Volume-Informed Neural Network Framework for 2D Shallow Water Equations: Rugged Loss Landscapes and the Importance of Data Guidance
Xiaofeng Liu
Physics-informed neural networks (PINNs) are a simple surrogate-modelling paradigm for partial differential equations, but their standard strong-form residual formulation is ill su…