A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui |
|
2001
|
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui |
|
2005
|
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui |
|
2000
|
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian |
|
2008
|
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui |
|
2006
|
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui |
|
2008
|
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui |
|
2001
|
Eigenvalues of rank-one updated matrices with some applications. Zbl 1139.15003
Ding, Jiu; Zhou, Aihui |
|
2007
|
A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui |
|
2002
|
Local and parallel finite element algorithms for eigenvalue problems. Zbl 1015.65060
Xu, Jinchao; Zhou, Aihui |
|
2002
|
Finite element methods for eigenvalue problems. Zbl 1351.65085
Sun, Jiguang; Zhou, Aihui |
|
2017
|
Three-scale finite element discretizations for quantum eigenvalue problems. Zbl 1160.65060
Dai, Xiaoying; Zhou, Aihui |
|
2008
|
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions. Zbl 1188.65153
Liu, Fang; Madden, Niall; Stynes, Martin; Zhou, Aihui |
|
2009
|
Adaptive finite element approximations for Kohn-Sham models. Zbl 1316.35260
Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui |
|
2014
|
Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes. Zbl 0986.65098
Yan, Ningning; Zhou, Aihui |
|
2001
|
Finite approximations of Frobenius-Perron operators. A solution of Ulam’s conjecture to multi-dimensional transformations. Zbl 0890.58035
Ding, Jiu; Zhou, Aihui |
|
1996
|
Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates. Zbl 1103.65112
Mao, Dong; Shen, Lihua; Zhou, Aihui |
|
2006
|
Symmetric finite volume discretizations for parabolic problems. Zbl 1038.65079
Ma, Xiuling; Shu, Shi; Zhou, Aihui |
|
2003
|
Finite element approximations of nonlinear eigenvalue problems in quantum physics. Zbl 1228.81026
Chen, Huajie; He, Lianhua; Zhou, Aihui |
|
2011
|
Numerical analysis of finite dimensional approximations of Kohn-Sham models. Zbl 1278.35225
Chen, Huajie; Gong, Xingao; He, Lianhua; Yang, Zhang; Zhou, Aihui |
|
2013
|
Enhancing eigenvalue approximation by gradient recovery. Zbl 1148.65087
Naga, Ahmed; Zhang, Zhimin; Zhou, Aihui |
|
2006
|
Finite element method for solving Kohn-Sham equations based on self-adaptive tetrahedral mesh. Zbl 1221.81225
Zhang, Dier; Shen, Lihua; Zhou, Aihui; Gong, Xin-Gao |
|
2008
|
An analysis of finite-dimensional approximations for the ground state solution of Bose-Einstein condensates. Zbl 1051.35094
Zhou, Aihui |
|
2004
|
Gradient type optimization methods for electronic structure calculations. Zbl 1300.82006
Zhang, Xin; Zhu, Jinwei; Wen, Zaiwen; Zhou, Aihui |
|
2014
|
Statistical properties of deterministic systems. Zbl 1171.37001
Ding, Jiu; Zhou, Aihui |
|
2009
|
The full approximation accuracy for the stream function-vorticity- pressure method. Zbl 0823.65110
Zhou, Aihui; Li, Jichun |
|
1994
|
A box scheme for coupled systems resulting from microsensor thermistor problems. Zbl 0979.78023
Allegretto, Walter; Lin, Yanping; Zhou, Aihui |
|
1999
|
Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model. Zbl 1194.35293
Chen, Huajie; Gong, Xingao; Zhou, Aihui |
|
2010
|
Error analysis of the combination technique. Zbl 0942.65122
Pflaum, C.; Zhou, A. |
|
1999
|
Finite element approximations for Schrödinger equations with applications to electronic structure computations. Zbl 1174.65047
Gong, Xingao; Shen, Lihua; Zhang, Dier; Zhou, Aihui |
|
2008
|
Piecewise linear Markov approximations of Frobenius-Perron operators associated with multi-dimensional transformations. Zbl 0907.47025
Ding, Jiu; Zhou, Ai Hui |
|
1995
|
A defect correction scheme for finite element eigenvalues with applications to quantum Chemistry. Zbl 1104.65323
Shen, Lihua; Zhou, Aihui |
|
2006
|
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues. Zbl 1332.65159
Dai, Xiaoying; He, Lianhua; Zhou, Aihui |
|
2015
|
A Kohn-Sham equation solver based on hexahedral finite elements. Zbl 1245.82007
Fang, Jun; Gao, Xingyu; Zhou, Aihui |
|
2012
|
The projection method for computing multidimensional absolutely continuous invariant measures. Zbl 0972.28501
Ding, Jiu; Zhou, Aihui |
|
1994
|
Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103
He, Lianhua; Zhou, Aihui |
|
2011
|
Nonnegative matrices, positive operators, and applications. Zbl 1205.15048
Ding, Jiu; Zhou, Aihui |
|
2009
|
Multi-parameter extrapolation methods for boundary integral equations. Zbl 0922.65075
Rüde, Ulrich; Zhou, Aihui |
|
1998
|
A symmetric finite volume scheme for selfadjoint elliptic problems. Zbl 1027.65150
Liang, Shengde; Ma, Xiuling; Zhou, Aihui |
|
2002
|
Finite volume discretizations for eigenvalue problems with applications to electronic structure calculations. Zbl 1233.65082
Dai, Xiaoying; Gong, Xingao; Yang, Zhang; Zhang, Dier; Zhou, Aihui |
|
2011
|
Orbital-free density functional theory for molecular structure calculations. Zbl 1174.81316
Chen, Huajie; Zhou, Aihui |
|
2008
|
Finite dimensional approximations for the electronic ground state solution of a molecular system. Zbl 1119.35095
Zhou, Aihui |
|
2007
|
A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings. Zbl 1231.37042
Ding, Jiu; Jin, Congming; Rhee, Noah H.; Zhou, Aihui |
|
2011
|
Finite approximations of Markov operators. Zbl 1013.65140
Ding, Jiu; Li, Tien Yien; Zhou, Aihui |
|
2002
|
A conjugate gradient method for electronic structure calculations. Zbl 1378.65120
Dai, Xiaoying; Liu, Zhuang; Zhang, Liwei; Zhou, Aihui |
|
2017
|
Fast Boolean approximation methods for solving integral equations in high dimensions. Zbl 1085.65126
Xu, Yuesheng; Zhou, Aihui |
|
2004
|
Adaptive finite element approximations for a class of nonlinear eigenvalue problems in quantum physics. Zbl 1262.35187
Chen, Huajie; Gong, Xingao; He, Lianhua; Zhou, Aihui |
|
2011
|
Gradient flow based Kohn-Sham density functional theory model. Zbl 1459.37068
Dai, Xiaoying; Wang, Qiao; Zhou, Aihui |
|
2020
|
Three-scale finite element eigenvalue discretizations. Zbl 1157.65061
Gao, X.; Liu, F.; Zhou, A. |
|
2008
|
Optimal and superconvergence estimates of the finite element method for a scalar hyperbolic equation. Zbl 0805.65099
Zhou, Aihui; Lin, Qun |
|
1994
|
A two-scale higher-order finite element discretization for Schrödinger equation. Zbl 1212.65432
Chen, Huajie; Liu, Fang; Zhou, Aihui |
|
2009
|
A multi-parameter splitting extrapolation and a parallel algorithm. Zbl 0895.65058
Zhou, Aihui; Liem, Chin-bo; Shih, Tsi-min; Lü, Tao |
|
1997
|
Multi-level adaptive corrections in finite dimensional approximations. Zbl 1224.65294
Zhou, Aihui |
|
2010
|
An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116
Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui |
|
2006
|
Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind. Zbl 1144.65087
Liu, Fang; Zhou, Aihui |
|
2007
|
Finite volume methods for eigenvalue problems. Zbl 0983.65124
Liang, Shengde; Ma, Xiuling; Zhou, Aihui |
|
2001
|
A sparse finite element method with high accuracy. I. Zbl 0989.65134
Lin, Qun; Yan, Ningning; Zhou, Aihui |
|
2001
|
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A. |
|
2013
|
Error analysis on bi-parameter finite elements. Zbl 0945.65122
Zhou, Aihui; Liem, Chinbo; Shih, Tsimin; Lü, Lao |
|
1998
|
Hohenberg-Kohn theorem for Coulomb type systems and its generalization. Zbl 1308.81197
Zhou, Aihui |
|
2012
|
Characteristic polynomials of some perturbed matrices. Zbl 1154.15011
Ding, Jiu; Zhou, Aihui |
|
2008
|
A spectrum theorem for perturbed bounded linear operators. Zbl 1161.47004
Ding, Jiu; Zhou, Aihui |
|
2008
|
Long-time stability of finite element approximations for parabolic equations with memory. Zbl 0931.65136
Allegretto, Walter; Lin, Yanping; Zhou, Aihui |
|
1999
|
Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions. Zbl 1167.65064
Dai, Xiaoying; Yang, Zhang; Zhou, Aihui |
|
2008
|
Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation. Zbl 1121.65367
Yang, Ying; Zhou, Aihui |
|
2006
|
A local computational scheme for higher order finite element value approximation. Zbl 1168.65065
Dai, Xiaoying; Shen, Lihua; Zhou, Aihui |
|
2008
|
Structure preserving finite element approximations of Markov operators. Zbl 1073.37091
Ding, Jiu; Zhou, Aihui |
|
2002
|
A multi-parameter splitting extrapolation and a parallel algorithm for elliptic eigenvalue problem. Zbl 0905.65106
Liao, Xiaohai; Zhou, Aihui |
|
1998
|
An analysis of some high accuracy finite element methods for hyperbolic problems. Zbl 1004.65100
Zhou, Aihui |
|
2001
|
Some open mathematical problems in electronic structure models and calculations. Zbl 1488.82029
Zhou, Aihui |
|
2015
|
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui |
|
2013
|
The combination technique for a two-dimensional convection-diffusion problem with exponential layers. Zbl 1212.65443
Franz, Sebastian; Liu, Fang; Roos, Hans-Görg; Stynes, Martin; Zhou, Aihui |
|
2009
|
New error estimates of biquadratic Lagrange elements for Poisson’s equation. Zbl 1091.65111
Huang, Hung-Tsai; Li, Zi-Cai; Zhou, Aihui |
|
2006
|
A parallel orbital-updating based optimization method for electronic structure calculations. Zbl 1528.81003
Dai, Xiaoying; Liu, Zhuang; Zhang, Xin; Zhou, Aihui |
|
2021
|
Plane wave methods for quantum eigenvalue problems of incommensurate systems. Zbl 1451.81243
Zhou, Yuzhi; Chen, Huajie; Zhou, Aihui |
|
2019
|
Two-scale finite element discretizations for partial differential equations. Zbl 1100.65101
Liu, Fang; Zhou, Aihui |
|
2006
|
Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation. Zbl 0858.73076
Zhou, Aihui |
|
1996
|
Extrapolation for collocation method of the first kind Volterra integral equations. Zbl 0755.65138
Zhou, Aihui |
|
1991
|
Constructive approximations of Markov operators. Zbl 0991.37004
Ding, Jiu; Zhou, Aihui |
|
2001
|
On the “preconditioning” function used in planewave DFT calculations and its generalization. Zbl 1388.65195
Zhou, Yunkai; Chelikowsky, James R.; Gao, Xingyu; Zhou, Aihui |
|
2015
|
A finite element recovery approach to eigenvalue approximations with applications to electronic structure calculations. Zbl 1272.65086
Fang, Jun; Gao, Xingyu; Zhou, Aihui |
|
2013
|
Analysis of finite dimensional approximations to a class of partial differential equations. Zbl 1064.65125
Bao, Gang; Zhou, Aihui |
|
2004
|
Extrapolation for finite volume approximations. Zbl 1036.65091
Ma, Xiuling; Mao, Dong; Zhou, Aihui |
|
2003
|
The projection method for a class of Frobenius-Perron operators. Zbl 0943.47042
Ding, J.; Zhou, A. |
|
1999
|
Two-grid based adaptive proper orthogonal decomposition method for time dependent partial differential equations. Zbl 1448.65128
Dai, Xiaoying; Kuang, Xiong; Xin, Jack; Zhou, Aihui |
|
2020
|
Localizations and parallelizations for two-scale finite element discretizations. Zbl 1141.65079
Liu, Fang; Zhou, Aihui |
|
2007
|
Notes on superconvergence and its related topics. Zbl 0790.65095
Lin, Qun; Zhou, Aihui |
|
1993
|
Parallel mesh refinement of higher order finite elements for electronic structure calculations. Zbl 1364.65259
Zhang, Dier; Zhou, Aihui; Gong, Xin-Gao |
|
2008
|
Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem. Zbl 0917.76042
Zhou, Aihui |
|
1999
|
Parallel computation and domain decomposition for a class of hyperbolic problems. Zbl 0842.65070
Lin, Qun; Yan, Ningning; Zhou, Aihui |
|
1995
|
A finite element method for the Frobenius-Perron operator equation. Zbl 0977.65104
Ding, Jiu; Zhou, Aihui |
|
1999
|
Multi-parameter error resolution for the collocation method of Volterra integral equations. Zbl 0910.65110
Zhou, Aihui |
|
1997
|
Interpolation based local postprocessing for adaptive finite element approximations in electronic structure calculations. Zbl 1218.81044
Fang, Jun; Gao, Xingyu; Gong, Xingao; Zhou, Aihui |
|
2011
|
Defect correction for finite element gradient. Zbl 0767.65001
Lin, Qun; Zhou, Aihui |
|
1992
|
Adaptive finite element analysis for semilinear elliptic problems. Zbl 1499.65665
He, Lianhua; Zhou, Aihui |
|
2016
|
A mathematical aspect of Hohenberg-Kohn theorem. Zbl 1409.81189
Zhou, Aihui |
|
2019
|
Accelerating large partial EVD/SVD calculations by filtered block Davidson methods. Zbl 1353.65029
Zhou, Yunkai; Wang, Zheng; Zhou, Aihui |
|
2016
|
Postprocessed two-scale finite element discretizations. I. Zbl 1241.65101
Liu, Fang; Stynes, Martin; Zhou, Aihui |
|
2011
|
Two-scale finite element discretizations for integrodifferential equations. Zbl 1238.65125
Chen, Huajie; Liu, Fang; Reich, Nils; Winter, Christoph; Zhou, Aihui |
|
2011
|
Absolutely continuous invariant measures for piecewise \(C^2\) and expanding mappings in higher dimensions. Zbl 1009.37012
Ding, Jiu; Zhou, Aihui |
|
2000
|
Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals. Zbl 1524.37076
Dai, Xiaoying; Zhang, Liwei; Zhou, Aihui |
|
2023
|
A parallel orbital-updating based optimization method for electronic structure calculations. Zbl 1528.81003
Dai, Xiaoying; Liu, Zhuang; Zhang, Xin; Zhou, Aihui |
|
2021
|
Layer-splitting methods for time-dependent Schrödinger equations of incommensurate systems. Zbl 1482.35188
Wang, Ting; Chen, Huajie; Zhou, Aihui; Zhou, Yuzhi |
|
2021
|
Gradient flow based Kohn-Sham density functional theory model. Zbl 1459.37068
Dai, Xiaoying; Wang, Qiao; Zhou, Aihui |
|
2020
|
Two-grid based adaptive proper orthogonal decomposition method for time dependent partial differential equations. Zbl 1448.65128
Dai, Xiaoying; Kuang, Xiong; Xin, Jack; Zhou, Aihui |
|
2020
|
Plane wave methods for quantum eigenvalue problems of incommensurate systems. Zbl 1451.81243
Zhou, Yuzhi; Chen, Huajie; Zhou, Aihui |
|
2019
|
A mathematical aspect of Hohenberg-Kohn theorem. Zbl 1409.81189
Zhou, Aihui |
|
2019
|
Finite element methods for eigenvalue problems. Zbl 1351.65085
Sun, Jiguang; Zhou, Aihui |
|
2017
|
A conjugate gradient method for electronic structure calculations. Zbl 1378.65120
Dai, Xiaoying; Liu, Zhuang; Zhang, Liwei; Zhou, Aihui |
|
2017
|
Adaptive finite element analysis for semilinear elliptic problems. Zbl 1499.65665
He, Lianhua; Zhou, Aihui |
|
2016
|
Accelerating large partial EVD/SVD calculations by filtered block Davidson methods. Zbl 1353.65029
Zhou, Yunkai; Wang, Zheng; Zhou, Aihui |
|
2016
|
A singularity-based eigenfunction decomposition for Kohn-Sham equations. Zbl 1386.35316
Zhang, Xin; Zhou, Aihui |
|
2016
|
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues. Zbl 1332.65159
Dai, Xiaoying; He, Lianhua; Zhou, Aihui |
|
2015
|
Some open mathematical problems in electronic structure models and calculations. Zbl 1488.82029
Zhou, Aihui |
|
2015
|
On the “preconditioning” function used in planewave DFT calculations and its generalization. Zbl 1388.65195
Zhou, Yunkai; Chelikowsky, James R.; Gao, Xingyu; Zhou, Aihui |
|
2015
|
Adaptive finite element approximations for Kohn-Sham models. Zbl 1316.35260
Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui |
|
2014
|
Gradient type optimization methods for electronic structure calculations. Zbl 1300.82006
Zhang, Xin; Zhu, Jinwei; Wen, Zaiwen; Zhou, Aihui |
|
2014
|
Numerical analysis of finite dimensional approximations of Kohn-Sham models. Zbl 1278.35225
Chen, Huajie; Gong, Xingao; He, Lianhua; Yang, Zhang; Zhou, Aihui |
|
2013
|
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A. |
|
2013
|
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui |
|
2013
|
A finite element recovery approach to eigenvalue approximations with applications to electronic structure calculations. Zbl 1272.65086
Fang, Jun; Gao, Xingyu; Zhou, Aihui |
|
2013
|
A Kohn-Sham equation solver based on hexahedral finite elements. Zbl 1245.82007
Fang, Jun; Gao, Xingyu; Zhou, Aihui |
|
2012
|
Hohenberg-Kohn theorem for Coulomb type systems and its generalization. Zbl 1308.81197
Zhou, Aihui |
|
2012
|
Finite element approximations of nonlinear eigenvalue problems in quantum physics. Zbl 1228.81026
Chen, Huajie; He, Lianhua; Zhou, Aihui |
|
2011
|
Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103
He, Lianhua; Zhou, Aihui |
|
2011
|
Finite volume discretizations for eigenvalue problems with applications to electronic structure calculations. Zbl 1233.65082
Dai, Xiaoying; Gong, Xingao; Yang, Zhang; Zhang, Dier; Zhou, Aihui |
|
2011
|
A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings. Zbl 1231.37042
Ding, Jiu; Jin, Congming; Rhee, Noah H.; Zhou, Aihui |
|
2011
|
Adaptive finite element approximations for a class of nonlinear eigenvalue problems in quantum physics. Zbl 1262.35187
Chen, Huajie; Gong, Xingao; He, Lianhua; Zhou, Aihui |
|
2011
|
Interpolation based local postprocessing for adaptive finite element approximations in electronic structure calculations. Zbl 1218.81044
Fang, Jun; Gao, Xingyu; Gong, Xingao; Zhou, Aihui |
|
2011
|
Postprocessed two-scale finite element discretizations. I. Zbl 1241.65101
Liu, Fang; Stynes, Martin; Zhou, Aihui |
|
2011
|
Two-scale finite element discretizations for integrodifferential equations. Zbl 1238.65125
Chen, Huajie; Liu, Fang; Reich, Nils; Winter, Christoph; Zhou, Aihui |
|
2011
|
Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model. Zbl 1194.35293
Chen, Huajie; Gong, Xingao; Zhou, Aihui |
|
2010
|
Multi-level adaptive corrections in finite dimensional approximations. Zbl 1224.65294
Zhou, Aihui |
|
2010
|
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions. Zbl 1188.65153
Liu, Fang; Madden, Niall; Stynes, Martin; Zhou, Aihui |
|
2009
|
Statistical properties of deterministic systems. Zbl 1171.37001
Ding, Jiu; Zhou, Aihui |
|
2009
|
Nonnegative matrices, positive operators, and applications. Zbl 1205.15048
Ding, Jiu; Zhou, Aihui |
|
2009
|
A two-scale higher-order finite element discretization for Schrödinger equation. Zbl 1212.65432
Chen, Huajie; Liu, Fang; Zhou, Aihui |
|
2009
|
The combination technique for a two-dimensional convection-diffusion problem with exponential layers. Zbl 1212.65443
Franz, Sebastian; Liu, Fang; Roos, Hans-Görg; Stynes, Martin; Zhou, Aihui |
|
2009
|
A finite element recovery approach to Green’s function approximations with applications to electrostatic potential computation. Zbl 1157.78002
Yang, Ying; Zhou, Aihui |
|
2009
|
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian |
|
2008
|
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui |
|
2008
|
Three-scale finite element discretizations for quantum eigenvalue problems. Zbl 1160.65060
Dai, Xiaoying; Zhou, Aihui |
|
2008
|
Finite element method for solving Kohn-Sham equations based on self-adaptive tetrahedral mesh. Zbl 1221.81225
Zhang, Dier; Shen, Lihua; Zhou, Aihui; Gong, Xin-Gao |
|
2008
|
Finite element approximations for Schrödinger equations with applications to electronic structure computations. Zbl 1174.65047
Gong, Xingao; Shen, Lihua; Zhang, Dier; Zhou, Aihui |
|
2008
|
Orbital-free density functional theory for molecular structure calculations. Zbl 1174.81316
Chen, Huajie; Zhou, Aihui |
|
2008
|
Three-scale finite element eigenvalue discretizations. Zbl 1157.65061
Gao, X.; Liu, F.; Zhou, A. |
|
2008
|
Characteristic polynomials of some perturbed matrices. Zbl 1154.15011
Ding, Jiu; Zhou, Aihui |
|
2008
|
A spectrum theorem for perturbed bounded linear operators. Zbl 1161.47004
Ding, Jiu; Zhou, Aihui |
|
2008
|
Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions. Zbl 1167.65064
Dai, Xiaoying; Yang, Zhang; Zhou, Aihui |
|
2008
|
A local computational scheme for higher order finite element value approximation. Zbl 1168.65065
Dai, Xiaoying; Shen, Lihua; Zhou, Aihui |
|
2008
|
Parallel mesh refinement of higher order finite elements for electronic structure calculations. Zbl 1364.65259
Zhang, Dier; Zhou, Aihui; Gong, Xin-Gao |
|
2008
|
Finite element computations of Kolmogorov-Petrovsky-Piskunov front speeds in random shear flows in cylinders. Zbl 1400.76096
Shen, Lihua; Xin, Jack; Zhou, Aihui |
|
2008
|
Eigenvalues of rank-one updated matrices with some applications. Zbl 1139.15003
Ding, Jiu; Zhou, Aihui |
|
2007
|
Finite dimensional approximations for the electronic ground state solution of a molecular system. Zbl 1119.35095
Zhou, Aihui |
|
2007
|
Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind. Zbl 1144.65087
Liu, Fang; Zhou, Aihui |
|
2007
|
Localizations and parallelizations for two-scale finite element discretizations. Zbl 1141.65079
Liu, Fang; Zhou, Aihui |
|
2007
|
A posteriori error estimates for Markov approximations of Frobenius-Perron operators. Zbl 1119.41018
Ding, Jiu; Jin, Congming; Zhou, Aihui |
|
2007
|
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui |
|
2006
|
Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates. Zbl 1103.65112
Mao, Dong; Shen, Lihua; Zhou, Aihui |
|
2006
|
Enhancing eigenvalue approximation by gradient recovery. Zbl 1148.65087
Naga, Ahmed; Zhang, Zhimin; Zhou, Aihui |
|
2006
|
A defect correction scheme for finite element eigenvalues with applications to quantum Chemistry. Zbl 1104.65323
Shen, Lihua; Zhou, Aihui |
|
2006
|
An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116
Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui |
|
2006
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Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation. Zbl 1121.65367
Yang, Ying; Zhou, Aihui |
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2006
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New error estimates of biquadratic Lagrange elements for Poisson’s equation. Zbl 1091.65111
Huang, Hung-Tsai; Li, Zi-Cai; Zhou, Aihui |
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2006
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Two-scale finite element discretizations for partial differential equations. Zbl 1100.65101
Liu, Fang; Zhou, Aihui |
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2006
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Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui |
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2005
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An analysis of finite-dimensional approximations for the ground state solution of Bose-Einstein condensates. Zbl 1051.35094
Zhou, Aihui |
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2004
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Fast Boolean approximation methods for solving integral equations in high dimensions. Zbl 1085.65126
Xu, Yuesheng; Zhou, Aihui |
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2004
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Analysis of finite dimensional approximations to a class of partial differential equations. Zbl 1064.65125
Bao, Gang; Zhou, Aihui |
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2004
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Symmetric finite volume discretizations for parabolic problems. Zbl 1038.65079
Ma, Xiuling; Shu, Shi; Zhou, Aihui |
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2003
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Extrapolation for finite volume approximations. Zbl 1036.65091
Ma, Xiuling; Mao, Dong; Zhou, Aihui |
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2003
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A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui |
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2002
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Local and parallel finite element algorithms for eigenvalue problems. Zbl 1015.65060
Xu, Jinchao; Zhou, Aihui |
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2002
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A symmetric finite volume scheme for selfadjoint elliptic problems. Zbl 1027.65150
Liang, Shengde; Ma, Xiuling; Zhou, Aihui |
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2002
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Finite approximations of Markov operators. Zbl 1013.65140
Ding, Jiu; Li, Tien Yien; Zhou, Aihui |
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2002
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Structure preserving finite element approximations of Markov operators. Zbl 1073.37091
Ding, Jiu; Zhou, Aihui |
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2002
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A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui |
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2001
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Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui |
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2001
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Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes. Zbl 0986.65098
Yan, Ningning; Zhou, Aihui |
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2001
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Finite volume methods for eigenvalue problems. Zbl 0983.65124
Liang, Shengde; Ma, Xiuling; Zhou, Aihui |
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2001
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A sparse finite element method with high accuracy. I. Zbl 0989.65134
Lin, Qun; Yan, Ningning; Zhou, Aihui |
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2001
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An analysis of some high accuracy finite element methods for hyperbolic problems. Zbl 1004.65100
Zhou, Aihui |
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2001
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Constructive approximations of Markov operators. Zbl 0991.37004
Ding, Jiu; Zhou, Aihui |
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2001
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On estimating absolutely continuous invariant measures. Zbl 1031.37004
Ding, Jiu; Zhou, Aihui |
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2001
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Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui |
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2000
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Absolutely continuous invariant measures for piecewise \(C^2\) and expanding mappings in higher dimensions. Zbl 1009.37012
Ding, Jiu; Zhou, Aihui |
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2000
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A box scheme for coupled systems resulting from microsensor thermistor problems. Zbl 0979.78023
Allegretto, Walter; Lin, Yanping; Zhou, Aihui |
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1999
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Error analysis of the combination technique. Zbl 0942.65122
Pflaum, C.; Zhou, A. |
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1999
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Long-time stability of finite element approximations for parabolic equations with memory. Zbl 0931.65136
Allegretto, Walter; Lin, Yanping; Zhou, Aihui |
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1999
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The projection method for a class of Frobenius-Perron operators. Zbl 0943.47042
Ding, J.; Zhou, A. |
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1999
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Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem. Zbl 0917.76042
Zhou, Aihui |
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1999
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A finite element method for the Frobenius-Perron operator equation. Zbl 0977.65104
Ding, Jiu; Zhou, Aihui |
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1999
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Multi-parameter extrapolation methods for boundary integral equations. Zbl 0922.65075
Rüde, Ulrich; Zhou, Aihui |
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1998
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Error analysis on bi-parameter finite elements. Zbl 0945.65122
Zhou, Aihui; Liem, Chinbo; Shih, Tsimin; Lü, Lao |
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1998
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A multi-parameter splitting extrapolation and a parallel algorithm for elliptic eigenvalue problem. Zbl 0905.65106
Liao, Xiaohai; Zhou, Aihui |
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1998
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Invariant measures and their computation. Zbl 1054.37500
Ding, Jiu; Zhou, Aihui |
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1998
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A multi-parameter splitting extrapolation and a parallel algorithm. Zbl 0895.65058
Zhou, Aihui; Liem, Chin-bo; Shih, Tsi-min; Lü, Tao |
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1997
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Multi-parameter error resolution for the collocation method of Volterra integral equations. Zbl 0910.65110
Zhou, Aihui |
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1997
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Finite approximations of Frobenius-Perron operators. A solution of Ulam’s conjecture to multi-dimensional transformations. Zbl 0890.58035
Ding, Jiu; Zhou, Aihui |
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1996
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Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation. Zbl 0858.73076
Zhou, Aihui |
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1996
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| ...and 10 more Documents |
