Hehu Xie

According to our database, Hehu Xie authored at least 49 papers between 2008 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems.

Zhongshuo Lin, Haochen Liu, Hehu Xie

CoRR, 2024

Solving High-dimensional Parametric Elliptic Equation Using Tensor Neural Network.

Hongtao Chen, Rui Fu, Yifan Wang, Hehu Xie

CoRR, 2024

Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method.

Yue Feng, Zhijin Guan, Hehu Xie, Chenguang Zhou

CoRR, 2024

2023

GCGE: a package for solving large scale eigenvalue problems by parallel block damping inverse power method.

Yu Li, Zijing Wang, Hehu Xie

CCF Trans. High Perform. Comput., June, 2023

An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue Problems in Bose-Einstein Condensates.

Hehu Xie, Manting Xie, Xiaobo Yin, Gang Zhao

J. Sci. Comput., 2023

A Nonnested Augmented Subspace Method for Elliptic Eigenvalue Problems with Curved Interfaces.

Haikun Dang, Hehu Xie, Gang Zhao, Chenguang Zhou

J. Sci. Comput., 2023

Enhanced Error Estimates for Augmented Subspace Method.

Haikun Dang, Yifan Wang, Hehu Xie, Chenguang Zhou

J. Sci. Comput., 2023

On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation.

Guanghui Hu, Hehu Xie, Fei Xu

J. Comput. Phys., 2023

Solving High Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators.

Yifan Wang, Zhongshuo Lin, Yangfei Liao, Haochen Liu, Hehu Xie

CoRR, 2023

2022

On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods.

Qiang Du, Hehu Xie, Xiaobo Yin

SIAM J. Numer. Anal., August, 2022

A New Subspace Iteration Algorithm for Solving Generalized Eigenvalue Problems.

Biyi Wang, Hengbin An, Hehu Xie, Zeyao Mo

CoRR, 2022

Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process.

Yangfei Liao, Yifan Wang, Hehu Xie

CoRR, 2022

Tensor Neural Network and Its Numerical Integration.

Yifan Wang, Pengzhan Jin, Hehu Xie

CoRR, 2022

An Efficient Adaptive Finite Element Method for Eigenvalue Problems.

Qichen Hong, Hehu Xie, Fei Xu

CoRR, 2022

Design and Implementation of Compensated Gram-Schmidt Algorithm.

Jiexi Jin, Hehu Xie, Peibing Du, Zhe Quan, Hao Jiang

Proceedings of the 24th IEEE Int Conf on High Performance Computing & Communications; 8th Int Conf on Data Science & Systems; 20th Int Conf on Smart City; 8th Int Conf on Dependability in Sensor, 2022

2021

On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation.

Qiang Du, Hehu Xie, Xiaobo Yin

CoRR, 2021

2020

A Parallel Augmented Subspace Method for Eigenvalue Problems.

Fei Xu, Hehu Xie, Ning Zhang

SIAM J. Sci. Comput., 2020

A Nonnested Augmented Subspace Method for Eigenvalue Problems with Curved Interfaces.

Haikun Dang, Hehu Xie, Gang Zhao, Chenguang Zhou

CoRR, 2020

A parallel generalized conjugate gradient method for large scale eigenvalue problems.

Yu Li, Hehu Xie, Ran Xu, Chun'guang You, Ning Zhang

CCF Trans. High Perform. Comput., 2020

Analysis of continuous collocation solutions for nonlinear functional equations with vanishing delays.

Jian Tian, Hehu Xie, Kai Yang, Ran Zhang

Comput. Appl. Math., 2020

Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness.

Fusheng Luo, Hehu Xie, Manting Xie, Fei Xu

Appl. Math. Lett., 2020

2019

Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem.

Chun'guang You, Hehu Xie, Xuefeng Liu

SIAM J. Numer. Anal., 2019

Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction.

Hehu Xie, Lei Zhang, Houman Owhadi

SIAM J. Numer. Anal., 2019

Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem.

Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang

J. Sci. Comput., 2019

Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates.

Hehu Xie, Manting Xie

J. Sci. Comput., 2019

An Eigenwise Parallel Augmented Subspace Method for Eigenvalue Problems.

Fei Xu, Hehu Xie, Ning Zhang

CoRR, 2019

2018

A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems.

Qichen Hong, Hehu Xie, Fei Xu

SIAM J. Sci. Comput., 2018

Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations.

Yana Di, Hehu Xie, Xiaobo Yin

J. Sci. Comput., 2018

A multilevel correction adaptive finite element method for Kohn-Sham equation.

Guanghui Hu, Hehu Xie, Fei Xu

J. Comput. Phys., 2018

2017

A Multilevel Correction Method for Interior Transmission Eigenvalue Problem.

Hehu Xie, Xinming Wu

J. Sci. Comput., 2017

Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems.

Wei Gong, Hehu Xie, Ningning Yan

J. Sci. Comput., 2017

2016

A full multigrid method for eigenvalue problems.

Hongtao Chen, Hehu Xie, Fei Xu

J. Comput. Phys., 2016

2015

A Multilevel Correction Method for Optimal Controls of Elliptic Equations.

Wei Gong, Hehu Xie, Ningning Yan

SIAM J. Sci. Comput., 2015

Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model.

Zhonghua Qiao, Tao Tang, Hehu Xie

SIAM J. Numer. Anal., 2015

A multi-level correction scheme for eigenvalue problems.

Qun Lin, Hehu Xie

Math. Comput., 2015

A multilevel finite element method for Fredholm integral eigenvalue problems.

Hehu Xie, Tao Zhou

J. Comput. Phys., 2015

Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem.

Hehu Xie, Xiaobo Yin

Adv. Comput. Math., 2015

2014

Lower bounds of the discretization error for piecewise polynomials.

Qun Lin, Hehu Xie, Jinchao Xu

Math. Comput., 2014

A Multigrid Method for Helmholtz Transmission Eigenvalue Problems.

Xia Ji, Jiguang Sun, Hehu Xie

J. Sci. Comput., 2014

Metric tensors for the interpolation error and its gradient in <i>L</i>^<i>p</i> norm.

Hehu Xie, Xiaobo Yin

J. Comput. Phys., 2014

A multigrid method for eigenvalue problem.

Hehu Xie

J. Comput. Phys., 2014

A posterior error estimator and lower bound of a nonconforming finite element method.

Qun Lin, Fusheng Luo, Hehu Xie

J. Comput. Appl. Math., 2014

2013

The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay.

Qiumei Huang, Hehu Xie, Hermann Brunner

SIAM J. Sci. Comput., 2013

High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes.

Tao Tang, Hehu Xie, Xiaobo Yin

J. Sci. Comput., 2013

2011

Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays.

Hehu Xie, Ran Zhang, Hermann Brunner

SIAM J. Sci. Comput., 2011

Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type.

Qiumei Huang, Hehu Xie, Hermann Brunner

SIAM J. Sci. Comput., 2011

Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem.

Hagen Eichel, Lutz Tobiska, Hehu Xie

Math. Comput., 2011

2010

Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type.

Hermann Brunner, Qiumei Huang, Hehu Xie

SIAM J. Numer. Anal., 2010

2008

Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method.

Hehu Xie

Adv. Comput. Math., 2008