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2020 – today
- 2024
[j39]Yifan Wang, Hehu Xie
:
Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks. J. Comput. Phys. 506: 112928 (2024)- [j38]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. J. Sci. Comput. 101(3): 67 (2024) - [i18]Yue Feng, Zhijin Guan, Hehu Xie, Chenguang Zhou:
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method. CoRR abs/2401.04063 (2024) - [i17]Hongtao Chen, Rui Fu, Yifan Wang, Hehu Xie:
Solving High-dimensional Parametric Elliptic Equation Using Tensor Neural Network. CoRR abs/2402.00040 (2024) - [i16]Zhongshuo Lin, Haochen Liu, Hehu Xie:
Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems. CoRR abs/2403.16380 (2024) - [i15]Yongxin Li, Zhongshuo Lin, Yifan Wang, Hehu Xie:
Tensor Neural Network Interpolation and Its Applications. CoRR abs/2404.07805 (2024) - [i14]Guanghui Hu, Hehu Xie, Fei Xu, Gang Zhao:
A Nonnested Augmented Subspace Method for Kohn-Sham Equation. CoRR abs/2404.19249 (2024) - [i13]Zhijin Guan, Yifan Wang, Hehu Xie, Chenguang Zhou:
Enhanced Error Estimates for Augmented Subspace Method with Crouzeix-Raviart Element. CoRR abs/2405.00399 (2024) - [i12]Qiang Du, Hehu Xie, Xiaobo Yin, Jiwei Zhang:
Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods. CoRR abs/2409.09270 (2024) - 2023
- [j37]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): 171-190 (2023) - [j36]Guanghui Hu, Hehu Xie, Fei Xu:
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. J. Comput. Phys. 472: 111674 (2023) - [j35]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): 34 (2023) - [j34]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): 37 (2023) - [j33]Haikun Dang, Yifan Wang, Hehu Xie, Chenguang Zhou:
Enhanced Error Estimates for Augmented Subspace Method. J. Sci. Comput. 94(2): 40 (2023) - [i11]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 abs/2311.02732 (2023) - 2022
- [j32]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): 2046-2068 (2022) - [c1]Jiexi Jin, Hehu Xie, Peibing Du, Zhe Quan, Hao Jiang:
Design and Implementation of Compensated Gram-Schmidt Algorithm. HPCC/DSS/SmartCity/DependSys 2022: 870-875 - [i10]Qichen Hong, Hehu Xie, Fei Xu:
An Efficient Adaptive Finite Element Method for Eigenvalue Problems. CoRR abs/2202.11914 (2022) - [i9]Yifan Wang, Pengzhan Jin, Hehu Xie:
Tensor Neural Network and Its Numerical Integration. CoRR abs/2207.02754 (2022) - [i8]Yangfei Liao, Yifan Wang, Hehu Xie:
Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process. CoRR abs/2211.16548 (2022) - [i7]Biyi Wang, Hengbin An, Hehu Xie, Zeyao Mo:
A New Subspace Iteration Algorithm for Solving Generalized Eigenvalue Problems. CoRR abs/2212.14520 (2022) - 2021
- [i6]Guanghui Hu, Hehu Xie, Fei Xu:
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. CoRR abs/2103.02824 (2021) - [i5]Haikun Dang, Yifan Wang, Hehu Xie, Chenguang Zhou:
Enhanced Error Estimates for Augmented Subspace Method. CoRR abs/2106.00548 (2021) - [i4]Qiang Du, Hehu Xie, Xiaobo Yin:
On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation. CoRR abs/2109.12485 (2021) - [i3]Yu Li, Zijing Wang, Hehu Xie:
GCGE: A Package for Solving Large Scale Eigenvalue Problems by Parallel Block Damping Inverse Power Method. CoRR abs/2111.06552 (2021) - 2020
- [j31]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) - [j30]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) - [j29]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): 111-122 (2020) - [j28]Fei Xu, Hehu Xie, Ning Zhang:
A Parallel Augmented Subspace Method for Eigenvalue Problems. SIAM J. Sci. Comput. 42(5): A2655-A2677 (2020) - [i2]Haikun Dang, Hehu Xie, Gang Zhao, Chenguang Zhou:
A Nonnested Augmented Subspace Method for Eigenvalue Problems with Curved Interfaces. CoRR abs/2008.07691 (2020)
2010 – 2019
- 2019
- [j27]Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang:
Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem. J. Sci. Comput. 79(2): 914-934 (2019) - [j26]Hehu Xie, Manting Xie:
Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates. J. Sci. Comput. 81(2): 1072-1087 (2019) - [j25]Chun'guang You, Hehu Xie, Xuefeng Liu:
Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem. SIAM J. Numer. Anal. 57(3): 1395-1410 (2019) - [j24]Hehu Xie, Lei Zhang, Houman Owhadi:
Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction. SIAM J. Numer. Anal. 57(6): 2519-2550 (2019) - [i1]Fei Xu, Hehu Xie, Ning Zhang:
An Eigenwise Parallel Augmented Subspace Method for Eigenvalue Problems. CoRR abs/1908.10251 (2019) - 2018
- [j23]Guanghui Hu, Hehu Xie, Fei Xu:
A multilevel correction adaptive finite element method for Kohn-Sham equation. J. Comput. Phys. 355: 436-449 (2018) - [j22]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): 48-68 (2018) - [j21]Qichen Hong, Hehu Xie, Fei Xu:
A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems. SIAM J. Sci. Comput. 40(6): A4208-A4235 (2018) - 2017
- [j20]Hehu Xie, Xinming Wu:
A Multilevel Correction Method for Interior Transmission Eigenvalue Problem. J. Sci. Comput. 72(2): 586-604 (2017) - [j19]Wei Gong, Hehu Xie, Ningning Yan:
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems. J. Sci. Comput. 72(2): 820-841 (2017) - 2016
- [j18]Hongtao Chen, Hehu Xie, Fei Xu:
A full multigrid method for eigenvalue problems. J. Comput. Phys. 322: 747-759 (2016) - 2015
- [j17]Hehu Xie, Xiaobo Yin:
Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem. Adv. Comput. Math. 41(4): 799-812 (2015) - [j16]Hehu Xie, Tao Zhou:
A multilevel finite element method for Fredholm integral eigenvalue problems. J. Comput. Phys. 303: 173-184 (2015) - [j15]Qun Lin, Hehu Xie:
A multi-level correction scheme for eigenvalue problems. Math. Comput. 84(291): 71-88 (2015) - [j14]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): 184-205 (2015) - [j13]Wei Gong, Hehu Xie, Ningning Yan:
A Multilevel Correction Method for Optimal Controls of Elliptic Equations. SIAM J. Sci. Comput. 37(5) (2015) - 2014
- [j12]Qun Lin, Fusheng Luo, Hehu Xie:
A posterior error estimator and lower bound of a nonconforming finite element method. J. Comput. Appl. Math. 265: 243-254 (2014) - [j11]Hehu Xie, Xiaobo Yin:
Metric tensors for the interpolation error and its gradient in Lp norm. J. Comput. Phys. 256: 543-562 (2014) - [j10]Hehu Xie:
A multigrid method for eigenvalue problem. J. Comput. Phys. 274: 550-561 (2014) - [j9]Xia Ji, Jiguang Sun, Hehu Xie:
A Multigrid Method for Helmholtz Transmission Eigenvalue Problems. J. Sci. Comput. 60(2): 276-294 (2014) - [j8]Qun Lin, Hehu Xie, Jinchao Xu:
Lower bounds of the discretization error for piecewise polynomials. Math. Comput. 83(285): 1-13 (2014) - 2013
- [j7]Tao Tang, Hehu Xie, Xiaobo Yin:
High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes. J. Sci. Comput. 56(1): 1-13 (2013) - [j6]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) - 2011
- [j5]Hagen Eichel, Lutz Tobiska, Hehu Xie:
Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem. Math. Comput. 80(274): 697-722 (2011) - [j4]Qiumei Huang, Hehu Xie, Hermann Brunner:
Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type. SIAM J. Sci. Comput. 33(5): 2664-2684 (2011) - [j3]Hehu Xie, Ran Zhang, Hermann Brunner:
Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays. SIAM J. Sci. Comput. 33(6): 3303-3332 (2011) - 2010
- [j2]Hermann Brunner, Qiumei Huang, Hehu Xie:
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type. SIAM J. Numer. Anal. 48(5): 1944-1967 (2010)
2000 – 2009
- 2008
- [j1]Hehu Xie:
Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method. Adv. Comput. Math. 29(2): 135-145 (2008)
Coauthor Index
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