2 papers
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…
math.NA2024
Newton's method and its hybrid with machine learning for Navier-Stokes Darcy Models discretized by mixed element methods
Jianguo Huang, Hui Peng, Haohao Wu
This paper focuses on discussing Newton's method and its hybrid with machine learning for the steady state Navier-Stokes Darcy model discretized by mixed element methods. First, a…