2 citations · 2 across the 9 of their papers we have counts for
5 papers · 1 filter
A Tensor Neural Network Method for High-Order Homogenization of Locally Periodic Elliptic Problems
Huaijia Zhang, Haochen Liu, Xia Ji +1
We develop a high-order tensor neural network (TNN) method for locally periodic elliptic multiscale problems of the form . B…
Continuous Finite Element Method For Maxwell Eigenvalue Problems With Regular Decomposition Technique
Feiyi Liao, Haochen Liu, Hehu Xie
With the regular decomposition technique, we decompose the space into the sum of a vector potential space and the gradient of a scalar space, bot…
PASE: A Massively Parallel Augmented Subspace Eigensolver for Large Scale Eigenvalue Problems
Yangfei Liao, Haochen Liu, Hehu Xie +1
In this paper, we present a novel parallel augmented subspace method and build a package Parallel Augmented Subspace Eigensolver (PASE) for solving large scale eigenvalue problems…
Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems
Zhongshuo Lin, Haochen Liu, Hehu Xie
In this paper, we introduce a type of tensor neural network based machine learning method to solve elliptic multiscale problems. Based on the special structure, we can do the direc…
Solving High Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators
Yifan Wang, Zhongshuo Lin, Yangfei Liao +2
In this paper, based on the combination of tensor neural network and a posteriori error estimator, a novel type of machine learning method is proposed to solve high-dimensional bou…