5 citations · 7 across the 3 of their papers we have counts for
3 papers
cs.LG2024★ 1 cited
A Geometry-Aware Message Passing Neural Network for Modeling Aerodynamics over Airfoils
Jacob Helwig, Xuan Zhang, Haiyang Yu +1
Computational modeling of aerodynamics is a key problem in aerospace engineering, often involving flows interacting with solid objects such as airfoils. Deep surrogate models have…
cs.LG2024★ 1 cited
SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations
Xuan Zhang, Jacob Helwig, Yuchao Lin +4
We consider using deep neural networks to solve time-dependent partial differential equations (PDEs), where multi-scale processing is crucial for modeling complex, time-evolving dy…
cs.LG2023★ 5 cited
Group Equivariant Fourier Neural Operators for Partial Differential Equations
Jacob Helwig, Xuan Zhang, Cong Fu +3
We consider solving partial differential equations (PDEs) with Fourier neural operators (FNOs), which operate in the frequency domain. Since the laws of physics do not depend on th…