Hehu Xie

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 39

Top Topics

Eigenvalue Problems

Error Estimates

Top Venues

J. Sci. Comput.

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Yifan Wang, Hehu Xie
Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks. J. Comput. Phys. 506 (2024)
Zhongshuo Lin, Haochen Liu, Hehu Xie
Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems. CoRR (2024)
Yongxin Li, Zhongshuo Lin, Yifan Wang, Hehu Xie
Tensor Neural Network Interpolation and Its Applications. CoRR (2024)
Hongtao Chen, Rui Fu, Yifan Wang, Hehu Xie
Solving High-dimensional Parametric Elliptic Equation Using Tensor Neural Network. CoRR (2024)
Yue Feng, Zhijin Guan, Hehu Xie, Chenguang Zhou
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method. CoRR (2024)
Zhijin Guan, Yifan Wang, Hehu Xie, Chenguang Zhou
Enhanced Error Estimates for Augmented Subspace Method with Crouzeix-Raviart Element. CoRR (2024)
Guanghui Hu, Hehu Xie, Fei Xu, Gang Zhao
A Nonnested Augmented Subspace Method for Kohn-Sham Equation. CoRR (2024)
Yu Li, Zijing Wang, Hehu Xie
GCGE: a package for solving large scale eigenvalue problems by parallel block damping inverse power method. CCF Trans. High Perform. Comput. 5 (2) (2023)
Haikun Dang, Hehu Xie, Gang Zhao, Chenguang Zhou
A Nonnested Augmented Subspace Method for Elliptic Eigenvalue Problems with Curved Interfaces. J. Sci. Comput. 94 (1) (2023)
Hehu Xie, Manting Xie, Xiaobo Yin, Gang Zhao
An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue Problems in Bose-Einstein Condensates. J. Sci. Comput. 94 (2) (2023)
Guanghui Hu, Hehu Xie, Fei Xu
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. J. Comput. Phys. 472 (2023)
Haikun Dang, Yifan Wang, Hehu Xie, Chenguang Zhou
Enhanced Error Estimates for Augmented Subspace Method. J. Sci. Comput. 94 (2) (2023)
Yifan Wang, Zhongshuo Lin, Yangfei Liao, Haochen Liu, Hehu Xie
Solving High Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators. CoRR (2023)
Biyi Wang, Hengbin An, Hehu Xie, Zeyao Mo
A New Subspace Iteration Algorithm for Solving Generalized Eigenvalue Problems. CoRR (2022)
Jiexi Jin, Hehu Xie, Peibing Du, Zhe Quan, Hao Jiang
Design and Implementation of Compensated Gram-Schmidt Algorithm. HPCC/DSS/SmartCity/DependSys (2022)
Yangfei Liao, Yifan Wang, Hehu Xie
Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process. CoRR (2022)
Qichen Hong, Hehu Xie, Fei Xu
An Efficient Adaptive Finite Element Method for Eigenvalue Problems. CoRR (2022)
Yifan Wang, Pengzhan Jin, Hehu Xie
Tensor Neural Network and Its Numerical Integration. CoRR (2022)
Qiang Du, Hehu Xie, Xiaobo Yin
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods. SIAM J. Numer. Anal. 60 (4) (2022)
Yu Li, Zijing Wang, Hehu Xie
GCGE: A Package for Solving Large Scale Eigenvalue Problems by Parallel Block Damping Inverse Power Method. CoRR (2021)
Guanghui Hu, Hehu Xie, Fei Xu
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. CoRR (2021)
Haikun Dang, Yifan Wang, Hehu Xie, Chenguang Zhou
Enhanced Error Estimates for Augmented Subspace Method. CoRR (2021)
Qiang Du, Hehu Xie, Xiaobo Yin
On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation. CoRR (2021)
Fusheng Luo, Hehu Xie, Manting Xie, Fei Xu
Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness. Appl. Math. Lett. 99 (2020)
Yu Li, Hehu Xie, Ran Xu, Chun'guang You, Ning Zhang
A parallel generalized conjugate gradient method for large scale eigenvalue problems. CCF Trans. High Perform. Comput. 2 (2) (2020)
Jian Tian, Hehu Xie, Kai Yang, Ran Zhang
Analysis of continuous collocation solutions for nonlinear functional equations with vanishing delays. Comput. Appl. Math. 39 (1) (2020)
Fei Xu, Hehu Xie, Ning Zhang
A Parallel Augmented Subspace Method for Eigenvalue Problems. SIAM J. Sci. Comput. 42 (5) (2020)
Haikun Dang, Hehu Xie, Gang Zhao, Chenguang Zhou
A Nonnested Augmented Subspace Method for Eigenvalue Problems with Curved Interfaces. CoRR (2020)
Chun'guang You, Hehu Xie, Xuefeng Liu
Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem. SIAM J. Numer. Anal. 57 (3) (2019)
Hehu Xie, Manting Xie
Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates. J. Sci. Comput. 81 (2) (2019)
Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang
Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem. J. Sci. Comput. 79 (2) (2019)
Fei Xu, Hehu Xie, Ning Zhang
An Eigenwise Parallel Augmented Subspace Method for Eigenvalue Problems. CoRR (2019)
Hehu Xie, Lei Zhang, Houman Owhadi
Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction. SIAM J. Numer. Anal. 57 (6) (2019)
Yana Di, Hehu Xie, Xiaobo Yin
Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations. J. Sci. Comput. 76 (1) (2018)
Qichen Hong, Hehu Xie, Fei Xu
A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems. SIAM J. Sci. Comput. 40 (6) (2018)
Guanghui Hu, Hehu Xie, Fei Xu
A multilevel correction adaptive finite element method for Kohn-Sham equation. J. Comput. Phys. 355 (2018)
Wei Gong, Hehu Xie, Ningning Yan
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems. J. Sci. Comput. 72 (2) (2017)
Hehu Xie, Xinming Wu
A Multilevel Correction Method for Interior Transmission Eigenvalue Problem. J. Sci. Comput. 72 (2) (2017)
Hongtao Chen, Hehu Xie, Fei Xu
A full multigrid method for eigenvalue problems. J. Comput. Phys. 322 (2016)
Qun Lin, Hehu Xie
A multi-level correction scheme for eigenvalue problems. Math. Comput. 84 (291) (2015)
Hehu Xie, Xiaobo Yin
Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. Adv. Comput. Math. 41 (4) (2015)
Zhonghua Qiao, Tao Tang, Hehu Xie
Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model. SIAM J. Numer. Anal. 53 (1) (2015)
Wei Gong, Hehu Xie, Ningning Yan
A Multilevel Correction Method for Optimal Controls of Elliptic Equations. SIAM J. Sci. Comput. 37 (5) (2015)
Hehu Xie, Tao Zhou
A multilevel finite element method for Fredholm integral eigenvalue problems. J. Comput. Phys. 303 (2015)
Qun Lin, Fusheng Luo, Hehu Xie
A posterior error estimator and lower bound of a nonconforming finite element method. J. Comput. Appl. Math. 265 (2014)
Xia Ji, Jiguang Sun, Hehu Xie
A Multigrid Method for Helmholtz Transmission Eigenvalue Problems. J. Sci. Comput. 60 (2) (2014)
Qun Lin, Hehu Xie, Jinchao Xu
Lower bounds of the discretization error for piecewise polynomials. Math. Comput. 83 (285) (2014)
Hehu Xie, Xiaobo Yin
norm. J. Comput. Phys. 256 (2014)
Hehu Xie
A multigrid method for eigenvalue problem. J. Comput. Phys. 274 (2014)
Qiumei Huang, Hehu Xie, Hermann Brunner
The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay. SIAM J. Sci. Comput. 35 (3) (2013)
Tao Tang, Hehu Xie, Xiaobo Yin
High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes. J. Sci. Comput. 56 (1) (2013)
Hagen Eichel, Lutz Tobiska, Hehu Xie
Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem. Math. Comput. 80 (274) (2011)
Hehu Xie, Ran Zhang, Hermann Brunner
Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays. SIAM J. Sci. Comput. 33 (6) (2011)
Qiumei Huang, Hehu Xie, Hermann Brunner
Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type. SIAM J. Sci. Comput. 33 (5) (2011)
Hermann Brunner, Qiumei Huang, Hehu Xie
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type. SIAM J. Numer. Anal. 48 (5) (2010)
Hehu Xie
Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method. Adv. Comput. Math. 29 (2) (2008)