Hehu Xie
Orcid: 0000-0002-1947-9256
According to our database1,
Hehu Xie
authored at least 56 papers
between 2008 and 2024.
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Bibliography
2024
Solving High-Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators.
J. Sci. Comput., December, 2024
Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks.
J. Comput. Phys., 2024
Adaptive Neural Network Subspace Method for Solving Partial Differential Equations with High Accuracy.
CoRR, 2024
Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods.
CoRR, 2024
Enhanced Error Estimates for Augmented Subspace Method with Crouzeix-Raviart Element.
CoRR, 2024
Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale Problems.
CoRR, 2024
CoRR, 2024
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method.
CoRR, 2024
2023
GCGE: a package for solving large scale eigenvalue problems by parallel block damping inverse power method.
CCF Trans. High Perform. Comput., June, 2023
An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue Problems in Bose-Einstein Condensates.
J. Sci. Comput., 2023
A Nonnested Augmented Subspace Method for Elliptic Eigenvalue Problems with Curved Interfaces.
J. Sci. Comput., 2023
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation.
J. Comput. Phys., 2023
2022
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods.
SIAM J. Numer. Anal., August, 2022
CoRR, 2022
Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process.
CoRR, 2022
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.
CoRR, 2021
2020
SIAM J. Sci. Comput., 2020
A Nonnested Augmented Subspace Method for Eigenvalue Problems with Curved Interfaces.
CoRR, 2020
A parallel generalized conjugate gradient method for large scale eigenvalue problems.
CCF Trans. High Perform. Comput., 2020
Analysis of continuous collocation solutions for nonlinear functional equations with vanishing delays.
Comput. Appl. Math., 2020
Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness.
Appl. Math. Lett., 2020
2019
SIAM J. Numer. Anal., 2019
Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction.
SIAM J. Numer. Anal., 2019
J. Sci. Comput., 2019
J. Sci. Comput., 2019
2018
A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems.
SIAM J. Sci. Comput., 2018
Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations.
J. Sci. Comput., 2018
J. Comput. Phys., 2018
2017
J. Sci. Comput., 2017
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems.
J. Sci. Comput., 2017
2016
2015
SIAM J. Sci. Comput., 2015
Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model.
SIAM J. Numer. Anal., 2015
J. Comput. Phys., 2015
Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem.
Adv. Comput. Math., 2015
2014
Math. Comput., 2014
J. Sci. Comput., 2014
Metric tensors for the interpolation error and its gradient in <i>L</i><sup><i>p</i></sup> norm.
J. Comput. Phys., 2014
A posterior error estimator and lower bound of a nonconforming finite element method.
J. Comput. Appl. Math., 2014
2013
The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay.
SIAM J. Sci. Comput., 2013
High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes.
J. Sci. Comput., 2013
2011
Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays.
SIAM J. Sci. Comput., 2011
Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type.
SIAM J. Sci. Comput., 2011
Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem.
Math. Comput., 2011
2010
SIAM J. Numer. Anal., 2010
2008
Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method.
Adv. Comput. Math., 2008