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math.NA2025
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, bo…
math.NA2025
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…
math.NA2024
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…