Hehu Xie

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Person:348369

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zbMath Open xie.hehuMaRDI QIDQ348369

List of research outcomes

PublicationDate of PublicationType
Solving High Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators2023-11-05Paper
The weak Galerkin finite element method for the Steklov eigenvalue problem2023-05-25Paper
Computing Multi-Eigenpairs of High-Dimensional Eigenvalue Problems Using Tensor Neural Networks2023-05-21Paper
A nonnested augmented subspace method for elliptic eigenvalue problems with curved interfaces2023-05-05Paper
An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates2023-05-05Paper
A New Subspace Iteration Algorithm for Solving Generalized Eigenvalue Problems2022-12-29Paper
Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process2022-11-29Paper
https://portal.mardi4nfdi.de/entity/Q50525692022-11-24Paper
https://portal.mardi4nfdi.de/entity/Q50989242022-08-31Paper
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods2022-08-17Paper
Tensor Neural Network and Its Numerical Integration2022-07-06Paper
A generalized conjugate gradient method for eigenvalue problems2022-03-21Paper
https://portal.mardi4nfdi.de/entity/Q58622382022-03-07Paper
An Efficient Adaptive Finite Element Method for Eigenvalue Problems2022-02-24Paper
A multigrid method for nonlinear eigenvalue problems2021-12-17Paper
GCGE: A Package for Solving Large Scale Eigenvalue Problems by Parallel Block Damping Inverse Power Method2021-11-11Paper
The Weak Galerkin Method for Elliptic Eigenvalue Problems2021-11-01Paper
Nonconforming Finite Element Method for the Transmission Eigenvalue Problem2021-10-06Paper
Superconvergence Analysis of Gradient Recovery Method for TM Model of Electromagnetic Scattering in the Cavity2021-10-06Paper
An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests2021-04-27Paper
https://portal.mardi4nfdi.de/entity/Q49858332021-04-26Paper
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation2021-03-03Paper
https://portal.mardi4nfdi.de/entity/Q51152742020-08-12Paper
Analysis of continuous collocation solutions for nonlinear functional equations with vanishing delays2020-02-28Paper
https://portal.mardi4nfdi.de/entity/Q52101562020-01-22Paper
Computable error estimates for ground state solution of Bose-Einstein condensates2019-11-13Paper
Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction2019-11-08Paper
A cascadic multigrid method for nonsymmetric eigenvalue problem2019-09-18Paper
Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem2019-09-02Paper
Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem2019-07-04Paper
Fully Computable Error Bounds for Eigenvalue Problem2019-02-08Paper
A multilevel Newton's method for eigenvalue problems.2018-10-01Paper
Anisotropic meshes and stabilization parameter design of linear SUPG method for 2D convection-dominated convection-diffusion equations2018-08-29Paper
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements2018-04-12Paper
Convergence Analysis of Shift-Inverse Method with Richardson Iteration For Eigenvalue Problem2018-04-05Paper
Computable Error Estimates for a Nonsymmetric Eigenvalue Problem2018-02-27Paper
A multilevel correction method for interior transmission eigenvalue problem2017-11-10Paper
Adaptive multilevel correction method for finite element approximations of elliptic optimal control problems2017-11-10Paper
A Multigrid Method for Ground State Solution of Bose-Einstein Condensates2017-10-27Paper
Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation2017-10-27Paper
Energy Error Estimates of Subspace Method and Multigrid Algorithm for Eigenvalue Problems2017-05-08Paper
A multigrid method for eigenvalue problem2016-12-20Paper
Metric tensors for the interpolation error and its gradient in \(L^p\) norm2016-12-05Paper
A multilevel finite element method for Fredholm integral eigenvalue problems2016-12-05Paper
A Small Note About Lower Bound of Eigenvalues2016-09-21Paper
Local and Parallel Finite Element Algorithm Based On Multilevel Discretization for Eigenvalue Problem2016-08-12Paper
A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods2016-08-10Paper
A multilevel correction method for Stokes eigenvalue problems and its applications2016-03-18Paper
A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods2016-02-01Paper
Anisotropic meshes and stabilized parameters for the stabilized finite element methods2016-01-07Paper
Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem2015-12-07Paper
A Parallel Method for Population Balance Equations Based on the Method of Characteristics2015-11-24Paper
A Multilevel Correction Method for Optimal Controls of Elliptic Equations2015-09-21Paper
Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model2015-09-16Paper
The weak Galerkin method for eigenvalue problems2015-08-21Paper
A Multilevel Correction Scheme for Nonsymmetric Eigenvalue Problems by Finite Element Methods2015-05-23Paper
A multigrid method for eigenvalue problems based on shifted-inverse power technique2015-04-21Paper
A Cascadic Multigrid Method for GPE Problem2015-04-21Paper
An Algebraic Multigrid Method for Eigenvalue Problems in Some Different Cases2015-03-29Paper
Sharp Error Bounds for Piecewise Polynomial Approximation: Revisit and Application to Elliptic PDE Eigenvalue Computation2015-02-16Paper
A multi-level correction scheme for eigenvalue problems2015-01-30Paper
Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem.2015-01-27Paper
A multigrid method for Helmholtz transmission eigenvalue problems2014-11-25Paper
A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems2014-09-19Paper
A posterior error estimator and lower bound of a nonconforming finite element method2014-08-05Paper
A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem2014-06-11Paper
A type of multilevel method for the Steklov eigenvalue problem2014-05-15Paper
A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property2014-04-04Paper
Local a Priori Estimate on the General Scale Subdomains2014-01-21Paper
https://portal.mardi4nfdi.de/entity/Q28581752013-11-19Paper
Lower bounds of the discretization error for piecewise polynomials2013-11-15Paper
Spectral methods for weakly singular Volterra integral equations with pantograph delays2013-10-22Paper
Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods2013-09-27Paper
The $hp$ Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay2013-09-11Paper
A Superconvergence result for mixed finite element approximations of the eigenvalue problem2013-08-14Paper
Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations.2013-07-10Paper
High-order convergence of spectral deferred correction methods on general quadrature nodes2013-06-19Paper
https://portal.mardi4nfdi.de/entity/Q52987512013-06-14Paper
A posteriori error estimator for eigenvalue problems by mixed finite element method2013-06-11Paper
Computing the lower and upper bounds of Laplace eigenvalue problem by combining conforming and nonconforming finite element methods2013-01-28Paper
https://portal.mardi4nfdi.de/entity/Q29168992012-10-05Paper
https://portal.mardi4nfdi.de/entity/Q28865802012-06-01Paper
Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type2012-02-23Paper
Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays2012-02-23Paper
Postprocessing and Higher Order Convergence of Stabilized Finite Element Discretizations of the Stokes Eigenvalue Problem2011-12-26Paper
Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems2011-12-19Paper
Analysis of collocation solutions for a class of functional equations with vanishing delays2011-06-07Paper
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type2011-06-06Paper
New metric tensors for anisotropic mesh generation2011-05-16Paper
Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem2011-04-19Paper
Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem2011-02-14Paper
A posteriori error estimators suitable for moving finite element methods under anisotropic meshes2011-01-19Paper
https://portal.mardi4nfdi.de/entity/Q30566052010-11-12Paper
Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods2010-09-10Paper
Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems2010-09-10Paper
Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method2009-07-02Paper
SOME PROGRESS ON SUPERCONVERGENCE FOR MIXED FINITE ELEMENT METHODS2009-01-28Paper
https://portal.mardi4nfdi.de/entity/Q35377962008-11-24Paper
https://portal.mardi4nfdi.de/entity/Q35378192008-11-24Paper
https://portal.mardi4nfdi.de/entity/Q35378812008-11-24Paper
Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method2008-08-20Paper
Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods2008-04-07Paper
Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods2008-03-27Paper
https://portal.mardi4nfdi.de/entity/Q54397372008-02-11Paper
https://portal.mardi4nfdi.de/entity/Q52930962007-06-26Paper
Asymptotic Expansions and Extrapolation of Approximate Eigenvalues for Second Order Elliptic Problems by Mixed Finite Element Methods2006-09-19Paper

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