2 papers
math.NA2024
Resolution invariant deep operator network for PDEs with complex geometries
Jianguo Huang, Yue Qiu
Neural operators (NO) are discretization invariant deep learning methods with functional output and can approximate any continuous operator. NO have demonstrated the superiority of…
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…