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physics.flu-dyn2026
Optimize discrete loss with finite-difference physics constraint and time-stepping for PDE solving
Yali Luo, Yiye Zou, Heng Zhang +4
Computational Fluid Dynamics (CFD) is an important approach for analyzing flow phenomena and predicting engineering-relevant quantities. The governing physics is formulated as part…
physics.flu-dyn2024
A fully differentiable GNN-based PDE Solver: With Applications to Poisson and Navier-Stokes Equations
Tianyu Li, Yiye Zou, Shufan Zou +3
In this study, we present a novel computational framework that integrates the finite volume method with graph neural networks to address the challenges in Physics-Informed Neural N…