Aihui Zhou

发表

Numerical analysis of finite dimensional approximations of Kohn–Sham models

Aihui Zhou, Zhang Yang, Xingao Gong, 2011, Adv. Comput. Math..

Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations

Jiu Ding, Aihui Zhou, 1996 .

Finite dimensional approximations for the electronic ground state solution of a molecular system

Aihui Zhou, 2007 .

An analysis of finite-dimensional approximations for the ground state solution of Bose?Einstein condensates

Aihui Zhou, 2004 .

Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model

Huajie Chen, X. Gong, Aihui Zhou, 2010 .

A ug 2 01 7 A CONJUGATE GRADIENT METHOD FOR ELECTRONIC STRUCTURE CALCULATIONS

Aihui Zhou, Liwei Zhang, X. Dai, 2019 .

Finite Element Methods for Eigenvalue Problems

Aihui Zhou, Jiguang Sun, 2016 .

OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FINITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION

Q. Lin, Aihui Zhou, 1994 .

Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation

Q. Lin, Aihui Zhou, L. Tobiska, 2005 .

Accelerating large partial EVD/SVD calculations by filtered block Davidson methods

Yunkai Zhou, Aihui Zhou, Z. Wang, 2016 .

Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions

Xiaoying Dai, Aihui Zhou, Zhang Yang, 2008 .

Pactical Newton Methods for Electronic Structure Calculations.

Aihui Zhou, Liwei Zhang, X. Dai, 2020, 2001.09285.

Adaptive finite element analysis based on perturbation arguments

Lianhua He, Aihui Zhou, X. Dai, 2012 .

BASED ON TWO-GRID DISCRETIZATIONS

Jinchao Xu, Aihui Zhou, 2016 .

A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation

Aihui Zhou, Ying Yang, 2009 .

Finite Volume Methods for Eigenvalue Problems

Shengde Liang, Aihui Zhou, Aihui Zhou, 2001 .

A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions

Fang Liu, Niall Madden, Martin Stynes, 2009 .

Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation

Aihui Zhou, Ying Yang, 2006 .

Finite Element Computations of KPP Front Speeds in Random Shear Flows in Cylinders ∗

J. Xin, Aihui Zhou, Lihua Shen, 2008 .

A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings

Jiu Ding, N. Rhee, Aihui Zhou, 2011 .

Finite Element Computation of KPP Front Speeds in 3D Cellular and ABC Flows

J. Xin, Aihui Zhou, Lihua Shen, 2013 .

Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations

Aihui Zhou, X. Dai, Bin-Yan Yang, 2021, Advances in Applied Mathematics and Mechanics.

Orbital-Free Density Functional Theory for Molecular Structure Calculations

Huajie Chen, Aihui Zhou, Huajie Chen, 2008 .

Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals

Aihui Zhou, Liwei Zhang, X. Dai, 2021, Numerical Mathematics: Theory, Methods and Applications.

Local and parallel finite element algorithms for the stokes problem

Jinchao Xu, Jian Li, Aihui Zhou, 2008, Numerische Mathematik.

Multi-parameter extrapolation methods for boundary integral equations

Ulrich Rüde, Aihui Zhou, U. Rüde, 1998, Adv. Comput. Math..

Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics

Huajie Chen, Lianhua He, Aihui Zhou, 2011 .

Numerische Mathematik Convergence and optimal complexity of adaptive finite element eigenvalue computations

Jinchao Xu, Aihui Zhou, Xiaoying Dai, 2022 .

Parallel Mesh Reﬁnement of Higher Order Finite Elements for Electronic Structure Calculations

Dier Zhang, Aihui Zhou, X. Gong, 2008 .

A LOCAL COMPUTATIONAL SCHEME FOR HIGHER ORDER FINITE ELEMENT EIGENVALUE APPROXIMATIONS

Xiaoying Dai, Lihua Shen, Aihui Zhou, 2008 .

Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems

Aihui Zhou, Xiaoying Dai, Aihui Zhou, 2007, SIAM J. Numer. Anal..

Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates

Aihui Zhou, Dong Mao, Lihua Shen, 2006, Adv. Comput. Math..

Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues

Xiaoying Dai, Lianhua He, Aihui Zhou, 2012, 1210.1846.

Finite Volume Discretizations for Eigenvalue Problems with Applications to Electronic Structure Calculations

Aihui Zhou, Zhang Yang, Xiaoying Dai, 2011, Multiscale Model. Simul..

A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry

Aihui Zhou, Lihua Shen, Aihui Zhou, 2006, SIAM J. Sci. Comput..

A two-grid discretization scheme for eigenvalue problems

Jinchao Xu, Aihui Zhou, Jinchao Xu, 2001, Math. Comput..

Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems

Huajie Chen, Aihui Zhou, Yuzhi Zhou, 2020, 2008.07984.

New error estimates of biquadratic Lagrange elements for Poisson's equation

Hung-Tsai Huang, Zi-Cai Li, Aihui Zhou, 2006 .

A mathematical aspect of Hohenberg-Kohn theorem

Aihui Zhou, 2017, Science China Mathematics.

A Symmetry-Based Decomposition Approach to Eigenvalue Problems

Jun Fang, Aihui Zhou, Xingyu Gao, 2012, J. Sci. Comput..

Numerical analysis for systems with memory arising from semiconductor simulations

Aihui Zhou, Walter Allegretto, Yanping Lin, 1999, Appl. Math. Comput..

First-principles investigation of monatomic gold wires under tension

G. Rignanese, Lianhua He, Aihui Zhou, 2020 .

A parallel orbital-updating based plane-wave basis method for electronic structure calculations

Aihui Zhou, Xiaoying Dai, Yan Pan, 2017, J. Comput. Phys..

Finite element method for solving Kohn-Sham equations based on self-adaptive tetrahedral mesh

Lihua Shen, Dier Zhang, Aihui Zhou, 2008 .

Local and parallel finite element algorithms based on two-grid discretizations

Jinchao Xu, Aihui Zhou, Jinchao Xu, 2000, Math. Comput..

Postprocessed Two-Scale Finite Element Discretizations, Part I

Fang Liu, Aihui Zhou, Martin Stynes, 2011, SIAM J. Numer. Anal..

Two-scale finite element discretizations for integro- differential equations

Huajie Chen, Fang Liu, Christoph Winter, 2011 .

Localizations and parallelizations for two-scale finite element discretizations

Aihui Zhou, Fang Liu, Aihui Zhou, 2007 .

Two-Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind

Fang Liu, Aihui Zhou, Aihui Zhou, 2007, SIAM J. Numer. Anal..

TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR PARTIAL DIFFERENTIAL EQUATIONS

Fang Liu, Aihui Zhou, Aihui Zhou, 2006 .

Fast Boolean Approximation Methods for Solving Integral Equations in High Dimensions

Yuesheng Xu, Aihui Zhou, Yuesheng Xu, 2004 .

Error analysis of the combination technique

Aihui Zhou, Christoph Pflaum, Aihui Zhou, 1999, Numerische Mathematik.

The design principle for the programming of real space parallel adaptive calculations for electronic structure

Xiaoying Dai, Aihui Zhou, Aihui Zhou, 2016 .

Gradient Type Optimization Methods For Electronic Structure Calculations

Xin Zhang, Aihui Zhou, Jinwei Zhu, 2013, SIAM J. Sci. Comput..

A Finite Element Recovery Approach to Eigenvalue Approximations with Applications to Electronic Structure Calculations

Xingyu Gao, Aihui Zhou, Jun Fang, 2013, J. Sci. Comput..

A Kohn-Sham equation solver based on hexahedral finite elements

Jun Fang, Aihui Zhou, Xingyu Gao, 2012, J. Comput. Phys..

Interpolation Based Local Postprocessing for Adaptive Finite Element Approximations in Electronic Structure Calculations

Aihui Zhou, Xingao Gong, Xingyu Gao, 2011 .

An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems

Aihui Zhou, Aihui Zhou, 2001, SIAM J. Numer. Anal..

A Parallel Orbital-Updating Approach for Electronic Structure Calculations

Xiaoying Dai, Aihui Zhou, X. Gong, 2014, 1405.0260.

Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

Huajie Chen, Aihui Zhou, Tingxiu Wang, 2021, Communications in Computational Physics.

Adaptive Finite Element Approximations for Kohn-Sham Models

Aihui Zhou, Xiaoying Dai, Xingao Gong, 2013, Multiscale Model. Simul..

Plane wave methods for quantum eigenvalue problems of incommensurate systems

Aihui Zhou, Yuzhi Zhou, Huajie Chen, 2018, J. Comput. Phys..

A sparse finite element method with high accuracy Part I

Aihui Zhou, Ningning Yan, Qun Lin, 2001, Numerische Mathematik.

Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations

Jack Xin, Aihui Zhou, Xiaoying Dai, 2020, Journal of Scientific Computing.

Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems

Jinchao Xu, Aihui Zhou, Jinchao Xu, 2001, Adv. Comput. Math..

An Augmented Subspace Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations

J. Xin, Aihui Zhou, X. Dai, 2023, ArXiv.

Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics pdf

Bin Yang, Aihui Zhou, Aihui Zhou, 2011, ESAIM: Mathematical Modelling and Numerical Analysis.

CONVERGENCE AND COMPLEXITY OF ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Lianhua He, Aihui Zhou, Lianhua He, 2011 .

Two-Grid based Adaptive Proper Orthogonal Decomposition Algorithm for Time Dependent Partial Differential Equations pdf

Jack Xin, Aihui Zhou, Xiaoying Dai, 2019, ArXiv.

An analysis of discontinuous Galerkin methods for elliptic problems

Aihui Zhou, Yuesheng Xu, Reinhold Schneider, 2006, Adv. Comput. Math..

Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes

Ningning Yan, Aihui Zhou, N. Yan, 2001 .

Gradient Flow Based Kohn-Sham Density Functional Theory Model

Aihui Zhou, X. Dai, Qiao Wang, 2020, Multiscale Model. Simul..

A Conjugate Gradient Method for Electronic Structure Calculations

Aihui Zhou, Liwei Zhang, Xiaoying Dai, 2016, SIAM J. Sci. Comput..

A parallel orbital-updating based optimization method for electronic structure calculations

Aihui Zhou, Xiaoying Dai, Zhuang Liu, 2015, J. Comput. Phys..

Finite Element Computations of Kolmogorov-Petrovsky-Piskunov Front Speeds in Random Shear Flows in Cylinders

Jack Xin, Aihui Zhou, Lihua Shen, 2008, Multiscale Model. Simul..

Finite Element Computation of KPP Front Speeds in Cellular and Cat’s Eye Flows

J. Xin, Aihui Zhou, L. Shen, 2013, J. Sci. Comput..

A Quasi Monte Carlo Approach to Piecewise Linear Markov Approximations of Markov Operators

Aihui Zhou, Jiu Ding, Dong Mao, 2003, Monte Carlo Methods Appl..

Nonnegative Matrices, Positive Operators, and Applications

Jiu Ding, Aihui Zhou, Jiu Ding, 2009 .

Local and Parallel Finite Element Algorithms for Eigenvalue Problems

Jinchao Xu, Aihui Zhou, Jinchao Xu, 2002 .

Error analysis on bi-parameter finite elements

Aihui Zhou, Aihui Zhou, C. Liem, 1998 .

Long‐time stability of finite element approximations for parabolic equations with memory

Walter Allegretto, Yanping Lin, Aihui Zhou, 1999 .

Hohenberg-Kohn Theorem for Coulomb Type Systems ∗

Aihui Zhou, 2011, 1108.4517.

A Note on the Optimal L2-Estimate of the Finite Volume Element Method

Aihui Zhou, Ronghua Li, Zhongying Chen, 2002, Adv. Comput. Math..

Eigenvalues of rank-one updated matrices with some applications

Aihui Zhou, Jiu Ding, Jiu Ding, 2007, Appl. Math. Lett..

Some open mathematical problems in electronic structure models and calculations

Aihui Zhou, Aihui Zhou, 2015 .

Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation

Aihui Zhou, Aihui Zhou, 1996 .

EXTRAPOLATION FOR COLLOCATION METHOD OF THE FIRST KIND VOLTERRA INTEGRAL EQUATIONS

Aihui Zhou, Aihui Zhou, 1991 .

Convergence Rate Analysis

Jiu Ding, Aihui Zhou, 2009 .

Finite approximations of Markov operators

Tien Yien Li, Jiu Ding, Aihui Zhou, 2002 .

Structure preserving finite element approximations of Markov operators

Jiu Ding, Aihui Zhou, Jiu Ding, 2002 .

Constructive Approximations of Markov Operators

Jiu Ding, Aihui Zhou, Jiu Ding, 2001 .

A finite element method for the Frobenius-Perron operator equation

Aihui Zhou, Jiu Ding, Jiu Ding, 1999, Appl. Math. Comput..

Computing fixed densities of a class Frobenius-Perron operators

Jiu Ding, Aihui Zhou, 1998 .

The projection method for a class of Frobenius-Perron operators

Jiu Ding, Aihui Zhou, 1999 .

A posteriori error estimates for Markov approximations of Frobenius-Perron operators

Jiu Ding, Aihui Zhou, Congming Jin, 2007 .

On estimating absolutely continuous invariant measures

Jiu Ding, Aihui Zhou, 2001 .

CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION

Qun Lin, Aihui Zhou, Q. Lin, 1993 .

Piecewise linear Markov approximations of Frobenius-Perron operators associated with multi-dimensional transformations

Jiu Ding, Jiu Ding, Aihui Zhou, 1995 .

The full approximation accuracy for the stream function-vorticity-pressure method

Aihui Zhou, Jichun Li, Jichun Li, 1994 .

Local and parallel finite element algorithms for the stokes problem

Jinchao Xu, Yinnian He, Aihui Zhou, 2008, Numerische Mathematik.

Local and parallel finite element algorithms based on two-grid discretizations

Jinchao Xu, Aihui Zhou, 2000, Math. Comput..

The projection method for computing multidimensional absolutely continuous invariant measures

Jiu Ding, Aihui Zhou, Jiu Ding, 1994 .

The combination technique for a two-dimensional convection-diffusion problem with exponential layers

Fang Liu, Martin Stynes, Sebastian Franz, 2009 .

Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems

Jinchao Xu, Aihui Zhou, 2001, Adv. Comput. Math..

Some Local and Parallel Propertiesof Finite Element

Aihui Zhou, Aihui Zhou, DiscretizationsJinchao Xu, 2007 .

Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Non-linear Problems by Jinchao Xu and Aihui Zhou

Aihui Zhou, 2000 .

Convergence and Optimal Complexity of Adaptive Finite Element Methods

Lianhua He, Aihui Zhou, Lianhua He, 2010, 1002.0887.

Symmetric finite volume discretizations for parabolic problems

Shi Shu, Aihui Zhou, Aihui Zhou, 2003 .

A symmetric finite volume scheme for selfadjoint elliptic problems

Shengde Liang, Aihui Zhou, Aihui Zhou, 2002 .

A Box Scheme for Coupled Systems Resultingfrom Microsensor Thermistor

Yanping Lin, Aihui Zhou, ProblemsWalter, 1999 .