2 papers
math.NA2023
Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons
Wenrui Hao, Qingguo Hong, Xianlin Jin
The numerical solution of differential equations using machine learning-based approaches has gained significant popularity. Neural network-based discretization has emerged as a pow…
math.NA2023
Two families of -rectangle nonconforming finite elements for sixth-order elliptic equations
Xianlin Jin, Shuonan Wu
In this paper, we propose two families of nonconforming finite elements on -rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent propert…