Spectral mixed Galerkin method for state constrained optimal control problem governed by the first bi-harmonic equation. Zbl 1243.49029
Zhou, Jianwei; Yang, Danping |
|
2011
|
Filling polygonal holes with bicubic patches. Zbl 0805.65019
Gregory, John A.; Zhou, Jianwei |
|
1994
|
Legendre-Galerkin spectral methods for optimal control problems with integral constraint for state in one dimension. Zbl 1311.49072
Zhou, Jianwei; Yang, Danping |
|
2015
|
Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint. Zbl 1227.65057
Zhou, Jianwei; Chen, Yanping; Dai, Yongquan |
|
2010
|
Error estimates of spectral Legendre-Galerkin methods for the fourth-order equation in one dimension. Zbl 1410.65281
Chen, Yanping; Zhou, Jianwei |
|
2015
|
Galerkin spectral approximations for optimal control problems governed by the fourth order equation with an integral constraint on state. Zbl 1367.49023
Zhou, Jianwei; Zhang, Juan; Xing, Xiaoqing |
|
2016
|
An improved a posteriori error estimate for the Galerkin spectral method in one dimension. Zbl 1211.65105
Zhou, Jianwei; Yang, Danping |
|
2011
|
The spectral norms of \(g\)-circulant matrices with classical Fibonacci and Lucas numbers entries. Zbl 1334.15060
Zhou, Jianwei; Jiang, Zhaolin |
|
2014
|
Smooth parametric surfaces and n-sided patches. Zbl 0706.68097
Gregory, John A.; Lau, Vincent K. H.; Zhou, Jianwei |
|
1990
|
Numerical analysis of an optimal control problem governed by the stationary Navier-Stokes equations with global velocity-constrained. Zbl 1475.49033
Niu, Haifeng; Yang, Danping; Zhou, Jianwei |
|
2018
|
Convergence analysis and error estimate for distributed optimal control problems governed by Stokes equations with velocity-constraint. Zbl 1499.49013
Ge, Liang; Niu, Haifeng; Zhou, Jianwei |
|
2022
|
A note on spectral norms of even-order \( r\)-circulant matrices. Zbl 1328.15036
Jiang, Zhaolin; Zhou, Jianwei |
|
2015
|
On optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix. Zbl 1307.65041
Li, Juan; Jiang, Zhaolin; Shen, Nuo; Zhou, Jianwei |
|
2013
|
The error estimates of spectral methods for 1-dimension singularly perturbed problem. Zbl 1464.65219
Zhou, Jianwei; Jiang, Ziwu; Xie, Huantian; Niu, Haifeng |
|
2020
|
A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. Zbl 1490.65249
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin |
|
2022
|
Spectral norms of circulant-type matrices with binomial coefficients and harmonic numbers. Zbl 1359.15016
Zhou, Jianwei; Jiang, Zhaolin |
|
2014
|
The identical estimates of spectral norms for circulant matrices with binomial coefficients combined with Fibonacci numbers and Lucas numbers entries. Zbl 1287.15007
Zhou, Jianwei |
|
2014
|
Characteristic classes on Grassmannians. Zbl 1298.14054
Shi, Jin; Zhou, Jianwei |
|
2014
|
The positivity and convexity for Bernstein polynomials over triangles. Zbl 0587.41016
Zhou, Jianwei |
|
1986
|
Irregular \(C^{2}\) surface construction using bi-polynomial rectangular patches. Zbl 0916.68158
Gregory, John A.; Zhou, Jianwei |
|
1999
|
Error estimates of spectral element methods with generalized Jacobi polynomials on an interval. Zbl 1376.65140
Zhou, Jianwei; Zhang, Juan; Xie, Huantian; Yang, Yin |
|
2017
|
Approximations for Burgers’ equations with C-N scheme and RBF collocation methods. Zbl 1338.65257
Xie, Huantian; Zhou, Jianwei; Jiang, Ziwu; Guo, Xiaoyi |
|
2016
|
Convexity of Bézier nets on sub-triangles. Zbl 0756.41026
Gregory, John A.; Zhou, Jianwei |
|
1991
|
MHD peristaltic flow of fractional Jeffrey model through porous medium. Zbl 1427.76284
Guo, Xiaoyi; Zhou, Jianwei; Xie, Huantian; Jiang, Ziwu |
|
2018
|
A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems. Zbl 1501.65142
Jiang, Jiantao; An, Jing; Zhou, Jianwei |
|
2023
|
Morse functions on Grassmann manifolds. Zbl 1078.53047
Zhou, Jianwei |
|
2005
|
The a posteriori error estimates of Chebyshev-Petrov-Galerkin methods for second-order equations. Zbl 1382.65224
Zhou, Jianwei; Zhang, Juan; Jiang, Ziwu |
|
2016
|
Spinors, calibrations and Grassmannians. Zbl 1043.15025
Zhou, Jianwei |
|
2003
|
Spinor spaces of Clifford algebras. Zbl 1046.15037
Zhou, Jianwei; Huo, Xinxia |
|
2002
|
Absorbing boundary conditions for elastic media. Zbl 0869.73020
Zhou, Jianwei; Saffari, Nader |
|
1996
|
Constants within error estimates for Legendre-Galerkin spectral approximations of control-constrained optimal control problems. Zbl 1474.49063
Zhou, Jianwei |
|
2014
|
The explicit identities for spectral norms of circulant-type matrices involving binomial coefficients and harmonic numbers. Zbl 1407.15027
Zhou, Jianwei; Chen, Xiangyong; Jiang, Zhaolin |
|
2014
|
Irreducible Clifford modules. Zbl 1042.15015
Zhou, Jianwei |
|
2003
|
Explicit formulae for spectral norms of circulant-type matrices with well-known entries. Zbl 1280.15014
Zhou, Jianwei; Zhang, Jian |
|
2013
|
On twisted Atiyah-Singer operators. I. Zbl 0943.58015
Zhou, Jianwei |
|
1999
|
The twisted Atiyah-Singer operators. II. Zbl 0948.58019
Zhou, Jianwei |
|
1999
|
The two-parameter regular Markov processes and processes with independent increments. Zbl 0952.60520
Zhou, Jianwei |
|
1992
|
Numerical modelling of wave propagation in elastic rectangular block media. Zbl 0868.73085
Zhou, Jianwei; Saffari, Nader |
|
1997
|
An arbitrary rectangular patch network scheme for free-form surface modelling. Zbl 0878.68122
Zhou, Jianwei; Lau, Vincent K. H. |
|
1996
|
The geodesics in Grassmann manifolds. Zbl 0942.53029
Zhou, Jianwei |
|
1998
|
Sample function properties of two-parameter Markov processes. Zbl 0788.60063
Zhou, Xiao-Wen; Zhou, Jian-Wei |
|
1993
|
Totally geodesic submanifolds in Lie groups. Zbl 1110.14048
Zhou, Jianwei |
|
2006
|
A geometric proof of the Lefschetz fixed point theorem for signature operators. Zbl 0799.58080
Zhou, Jianwei |
|
1992
|
The upper bounds for eigenvalues of Dirac operators. Zbl 0992.58015
Zhou, Jianwei |
|
1999
|
The two-parameter regular Markov processes. Zbl 0677.60094
Zhou, Jianwei |
|
1989
|
Geometry on Grassmann manifolds. Zbl 1047.14036
Zhou, Jianwei; Hui, Huang |
|
2002
|
Optimal backward perturbation analysis for the block skew circulant linear systems with skew circulant blocks. Zbl 1474.15012
Jiang, Zhaolin; Li, Juan; Zhou, Jianwei |
|
2014
|
The a posteriori error estimates for Chebyshev-Galerkin spectral methods in one dimension. Zbl 1488.65698
Zhou, Jianwei |
|
2015
|
A-posteriori error estimates for uniform \(p\)-version finite element methods in square. Zbl 1488.65682
Zhou, Jianwei; Yang, Danping; Liu, Yujie |
|
2017
|
The constants in a posteriori error indicator for state-constrained optimal control problems with spectral methods. Zbl 1474.49064
Zhou, Jianwei |
|
2014
|
Unconditional error analysis of linearized BDF2 mixed virtual element method for semilinear parabolic problems on polygonal meshes. Zbl 07876178
Liu, Wanxiang; Chen, Yanping; Zhou, Jianwei; Liang, Qin |
|
2024
|
Unconditional error analysis of linearized BDF2 mixed virtual element method for semilinear parabolic problems on polygonal meshes. Zbl 07876178
Liu, Wanxiang; Chen, Yanping; Zhou, Jianwei; Liang, Qin |
|
2024
|
A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems. Zbl 1501.65142
Jiang, Jiantao; An, Jing; Zhou, Jianwei |
|
2023
|
Convergence analysis and error estimate for distributed optimal control problems governed by Stokes equations with velocity-constraint. Zbl 1499.49013
Ge, Liang; Niu, Haifeng; Zhou, Jianwei |
|
2022
|
A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. Zbl 1490.65249
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin |
|
2022
|
The error estimates of spectral methods for 1-dimension singularly perturbed problem. Zbl 1464.65219
Zhou, Jianwei; Jiang, Ziwu; Xie, Huantian; Niu, Haifeng |
|
2020
|
Numerical analysis of an optimal control problem governed by the stationary Navier-Stokes equations with global velocity-constrained. Zbl 1475.49033
Niu, Haifeng; Yang, Danping; Zhou, Jianwei |
|
2018
|
MHD peristaltic flow of fractional Jeffrey model through porous medium. Zbl 1427.76284
Guo, Xiaoyi; Zhou, Jianwei; Xie, Huantian; Jiang, Ziwu |
|
2018
|
Error estimates of spectral element methods with generalized Jacobi polynomials on an interval. Zbl 1376.65140
Zhou, Jianwei; Zhang, Juan; Xie, Huantian; Yang, Yin |
|
2017
|
A-posteriori error estimates for uniform \(p\)-version finite element methods in square. Zbl 1488.65682
Zhou, Jianwei; Yang, Danping; Liu, Yujie |
|
2017
|
Galerkin spectral approximations for optimal control problems governed by the fourth order equation with an integral constraint on state. Zbl 1367.49023
Zhou, Jianwei; Zhang, Juan; Xing, Xiaoqing |
|
2016
|
Approximations for Burgers’ equations with C-N scheme and RBF collocation methods. Zbl 1338.65257
Xie, Huantian; Zhou, Jianwei; Jiang, Ziwu; Guo, Xiaoyi |
|
2016
|
The a posteriori error estimates of Chebyshev-Petrov-Galerkin methods for second-order equations. Zbl 1382.65224
Zhou, Jianwei; Zhang, Juan; Jiang, Ziwu |
|
2016
|
Legendre-Galerkin spectral methods for optimal control problems with integral constraint for state in one dimension. Zbl 1311.49072
Zhou, Jianwei; Yang, Danping |
|
2015
|
Error estimates of spectral Legendre-Galerkin methods for the fourth-order equation in one dimension. Zbl 1410.65281
Chen, Yanping; Zhou, Jianwei |
|
2015
|
A note on spectral norms of even-order \( r\)-circulant matrices. Zbl 1328.15036
Jiang, Zhaolin; Zhou, Jianwei |
|
2015
|
The a posteriori error estimates for Chebyshev-Galerkin spectral methods in one dimension. Zbl 1488.65698
Zhou, Jianwei |
|
2015
|
The spectral norms of \(g\)-circulant matrices with classical Fibonacci and Lucas numbers entries. Zbl 1334.15060
Zhou, Jianwei; Jiang, Zhaolin |
|
2014
|
Spectral norms of circulant-type matrices with binomial coefficients and harmonic numbers. Zbl 1359.15016
Zhou, Jianwei; Jiang, Zhaolin |
|
2014
|
The identical estimates of spectral norms for circulant matrices with binomial coefficients combined with Fibonacci numbers and Lucas numbers entries. Zbl 1287.15007
Zhou, Jianwei |
|
2014
|
Characteristic classes on Grassmannians. Zbl 1298.14054
Shi, Jin; Zhou, Jianwei |
|
2014
|
Constants within error estimates for Legendre-Galerkin spectral approximations of control-constrained optimal control problems. Zbl 1474.49063
Zhou, Jianwei |
|
2014
|
The explicit identities for spectral norms of circulant-type matrices involving binomial coefficients and harmonic numbers. Zbl 1407.15027
Zhou, Jianwei; Chen, Xiangyong; Jiang, Zhaolin |
|
2014
|
Optimal backward perturbation analysis for the block skew circulant linear systems with skew circulant blocks. Zbl 1474.15012
Jiang, Zhaolin; Li, Juan; Zhou, Jianwei |
|
2014
|
The constants in a posteriori error indicator for state-constrained optimal control problems with spectral methods. Zbl 1474.49064
Zhou, Jianwei |
|
2014
|
On optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix. Zbl 1307.65041
Li, Juan; Jiang, Zhaolin; Shen, Nuo; Zhou, Jianwei |
|
2013
|
Explicit formulae for spectral norms of circulant-type matrices with well-known entries. Zbl 1280.15014
Zhou, Jianwei; Zhang, Jian |
|
2013
|
Spectral mixed Galerkin method for state constrained optimal control problem governed by the first bi-harmonic equation. Zbl 1243.49029
Zhou, Jianwei; Yang, Danping |
|
2011
|
An improved a posteriori error estimate for the Galerkin spectral method in one dimension. Zbl 1211.65105
Zhou, Jianwei; Yang, Danping |
|
2011
|
Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint. Zbl 1227.65057
Zhou, Jianwei; Chen, Yanping; Dai, Yongquan |
|
2010
|
Totally geodesic submanifolds in Lie groups. Zbl 1110.14048
Zhou, Jianwei |
|
2006
|
Morse functions on Grassmann manifolds. Zbl 1078.53047
Zhou, Jianwei |
|
2005
|
Spinors, calibrations and Grassmannians. Zbl 1043.15025
Zhou, Jianwei |
|
2003
|
Irreducible Clifford modules. Zbl 1042.15015
Zhou, Jianwei |
|
2003
|
Spinor spaces of Clifford algebras. Zbl 1046.15037
Zhou, Jianwei; Huo, Xinxia |
|
2002
|
Geometry on Grassmann manifolds. Zbl 1047.14036
Zhou, Jianwei; Hui, Huang |
|
2002
|
Irregular \(C^{2}\) surface construction using bi-polynomial rectangular patches. Zbl 0916.68158
Gregory, John A.; Zhou, Jianwei |
|
1999
|
On twisted Atiyah-Singer operators. I. Zbl 0943.58015
Zhou, Jianwei |
|
1999
|
The twisted Atiyah-Singer operators. II. Zbl 0948.58019
Zhou, Jianwei |
|
1999
|
The upper bounds for eigenvalues of Dirac operators. Zbl 0992.58015
Zhou, Jianwei |
|
1999
|
The geodesics in Grassmann manifolds. Zbl 0942.53029
Zhou, Jianwei |
|
1998
|
Numerical modelling of wave propagation in elastic rectangular block media. Zbl 0868.73085
Zhou, Jianwei; Saffari, Nader |
|
1997
|
Absorbing boundary conditions for elastic media. Zbl 0869.73020
Zhou, Jianwei; Saffari, Nader |
|
1996
|
An arbitrary rectangular patch network scheme for free-form surface modelling. Zbl 0878.68122
Zhou, Jianwei; Lau, Vincent K. H. |
|
1996
|
Filling polygonal holes with bicubic patches. Zbl 0805.65019
Gregory, John A.; Zhou, Jianwei |
|
1994
|
Sample function properties of two-parameter Markov processes. Zbl 0788.60063
Zhou, Xiao-Wen; Zhou, Jian-Wei |
|
1993
|
The two-parameter regular Markov processes and processes with independent increments. Zbl 0952.60520
Zhou, Jianwei |
|
1992
|
A geometric proof of the Lefschetz fixed point theorem for signature operators. Zbl 0799.58080
Zhou, Jianwei |
|
1992
|
Convexity of Bézier nets on sub-triangles. Zbl 0756.41026
Gregory, John A.; Zhou, Jianwei |
|
1991
|
Smooth parametric surfaces and n-sided patches. Zbl 0706.68097
Gregory, John A.; Lau, Vincent K. H.; Zhou, Jianwei |
|
1990
|
The two-parameter regular Markov processes. Zbl 0677.60094
Zhou, Jianwei |
|
1989
|
The positivity and convexity for Bernstein polynomials over triangles. Zbl 0587.41016
Zhou, Jianwei |
|
1986
|