4 citations · 7 across the 3 of their papers we have counts for
3 papers
cs.LG2024★ 1 cited
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows
Shuhao Cao, Francesco Brarda, Ruipeng Li +1
Recent advancements in operator-type neural networks have shown promising results in approximating the solutions of spatiotemporal Partial Differential Equations (PDEs). However, t…
math.NA2024★ 2 cited
Edge-averaged virtual element methods for convection-diffusion and convection-dominated problems
Shuhao Cao, Long Chen, Seulip Lee
This manuscript develops edge-averaged virtual element (EAVE) methodologies to address convection-diffusion problems effectively in the convection-dominated regime. It introduces a…
cs.LG2022★ 4 cited
Mitigating spectral bias for the multiscale operator learning
Xinliang Liu, Bo Xu, Shuhao Cao +1
Neural operators have emerged as a powerful tool for learning the mapping between infinite-dimensional parameter and solution spaces of partial differential equations (PDEs). In th…