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cs.CE2025
RAMS: Residual-based adversarial-gradient moving sample method for scientific machine learning in solving partial differential equations
Weihang Ouyang, Min Zhu, Wei Xiong +2
Physics-informed neural networks (PINNs) and neural operators, two leading scientific machine learning (SciML) paradigms, have emerged as powerful tools for solving partial differe…
cs.CE2025
Neural-operator element method: Efficient and scalable finite element method enabled by reusable neural operators
Weihang Ouyang, Yeonjong Shin, Si-Wei Liu +1
The finite element method (FEM) is a well-established numerical method for solving partial differential equations (PDEs). However, its mesh-based nature gives rise to substantial c…