2 papers
math.NA2025
Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries
Chenyu Zeng, Yanshu Zhang, Jiayi Zhou +5
Surrogate models are critical for accelerating computationally expensive simulations in science and engineering, particularly for solving parametric partial differential equations…
math.NA2024
An Efficient Deep Learning Approach for Approximating Parameter-to-Solution Maps of PDEs
Guanhang Lei, Zhen Lei, Lei Shi +1
In this paper, we consider approximating the parameter-to-solution maps of parametric partial differential equations (PPDEs) using deep neural networks (DNNs). We propose an effici…