2 papers
math.NA2026
Decoupled Divergence-Free Neural Networks Basis Method for Incompressible Fluid Problems
Jinbao Cheng, Jianguo Huang, Haoqin Wang +1
We propose a decoupled divergence-free neural networks basis (Decoupled-DFNN) method for solving incompressible flow problems, including the Stokes and Navier-Stokes equations. To…
math.NA2024
Adaptive neural network basis methods for partial differential equations with low-regular solutions
Jianguo Huang, Haohao Wu, Tao Zhou
This paper aims to devise an adaptive neural network basis method for numerically solving a second-order semilinear partial differential equation (PDE) with low-regular solutions i…