IEEE

Space–Frequency Cross-Attention Node Feature Optimization Graph Neural Operator for Partial Differential Equations

Abstract: Neural operators, such as graph neural operators (GNOs) and Fourier neural operators (FNOs), directly learn the mapping from any functional parametric dependence to the solution and have ...
IEEE

A Complex-Valued Neural Operator for Solving 2-D Wave Equations Based on Graph Neural Networks

Abstract: In this work, we propose a complex-valued neural operator (CV-NeuralOp) based on graph neural networks (GNNs) to solve 2-D wave equations. Inspired by Green’s function method for solving ...