95 citations · 97 across the 2 of their papers we have counts for
3 papers
math.NA2024
Solving High-dimensional Parametric Elliptic Equation Using Tensor Neural Network
Hongtao Chen, Rui Fu, Yifan Wang +1
In this paper, we introduce a tensor neural network based machine learning method for solving the elliptic partial differential equations with random coefficients in a bounded phys…
math.NA2014★ 95 cited
A Full Multigrid Method for Eigenvalue Problems
Hehu Xie
In this paper, a full (nested) multigrid scheme is proposed to solve eigenvalue problems. The idea here is to use the multilevel correction method to transform the solution of eige…
math.NA2014★ 2 cited
A Multigrid Method Based On Shifted-Inverse Power Technique for Eigenvalue Problems
Hongtao Chen, Yunhui He, Yu Li +1
A multigrid method is proposed in this paper to solve eigenvalue problems by the finite element method based on the shifted-inverse power iteration technique. With this scheme, sol…