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Zhang, Shangyou

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Author ID: zhang.shangyou Recent zbMATH articles by "Zhang, Shangyou"
Published as: Zhang, Shangyou; Zhang, S.; Zhang, S. Y.; Zhang, Sh.; Zhang, ShangYou
Documents Indexed: 163 Publications since 1988
all top 5

Co-Authors

20 single-authored
29 Ye, Xiu
13 Hu, Jun
8 Zhang, Zhimin
7 Barron, Ronald M.
6 Mu, Lin
6 Wang, Junping
6 Zhu, Peng
5 An, C-F.
5 Zhai, Qilong
5 Zhang, Ran
4 Hsiao, George C.
4 Huang, Yunqing
4 Shaĭdurov, Vladimir Victorovich
4 Sorokina, Tatyana
3 Duan, Huoyuan
3 Scott, Larkin Ridgway
3 Yang, Yin
2 Cui, Ming
2 Huang, Jianguo
2 Li, Jichun
2 Lin, Runchang
2 Man, Hongying
2 Olagunju, David O.
2 Peng, Hui
2 Qin, Jinshui
2 Rudraiah, Nanjundappa
2 Shananin, Aleksandr Alekseevich
2 Tan, Roger C. E.
2 Wang, Chunmei
2 Wang, Jindi
2 Wang, Xiaoshen
2 Xu, Liwei
2 Xu, Xuejun
2 Zhang, Tie
1 Ambainis, Andris
1 Bacuta, Constantin
1 Bagheri, Babak
1 Bogy, David B.
1 Cai, Wei
1 Chandna, Alka
1 Chen, Chuanmiao
1 Chen, Jinru
1 Chen, Wenbin
1 Childs, Andrew M.
1 Dautov, Rafail Z.
1 Deng, James Tian Quan
1 Domenech, Serge
1 Du, Zhijie
1 Feng, Yue
1 Gao, Fuzheng
1 Gao, Huadong
1 Gao, Shaoqin
1 Gao, Wenming
1 Gilbert, Robert Pertsch
1 Gogos, George
1 Gutman, Ivan M.
1 Han, Houde
1 Han, Lei
1 Hu, Hongling
1 Huang, Xuehai
1 Huang, Zhongyi
1 Isakov, Victor M.
1 Kabanikhin, Sergeĭ Igorevich
1 Karpov, Eduard G.
1 Lapin, Aleksandr Vasil’evich
1 Li, Mingxia
1 Liu, Wing Kam
1 Liu, Yujie
1 Ma, Junhua
1 Mao, Shipeng
1 Marcozzi, Michael D.
1 Mi, X. B.
1 Monk, Peter B.
1 Mu, Mo
1 Ni, Xiaowu
1 Pagaldipti, N.
1 Park, Harold S.
1 Qiao, Wanying
1 Qin, Lizhen
1 Rajadas, J. N.
1 Reichardt, Ben W.
1 Ruan, Shiling
1 Shapiro, Vadim
1 Shen, Zhonghua
1 Shishlenin, Maxim Aleksandrovich
1 Sivtsev, Petr Vasilievich
1 Špalek, Robert
1 Tao, Jianyong
1 Tian, Shudan
1 Tohidi, Emran
1 Tubani, M.
1 Vashchenko, M. P.
1 Vassilevski, Panayot Spirov
1 Vyas, Anand B.
1 Wang, Jianye
1 Wang, Ruishu
1 Wang, Xiuli
1 Wang, Xungai
1 Xie, Dejun
1 Xie, Ziqing
...and 6 more Co-Authors
all top 5

Serials

15 Journal of Computational and Applied Mathematics
11 Mathematics of Computation
8 SIAM Journal on Numerical Analysis
7 Journal of Scientific Computing
6 Applied Numerical Mathematics
6 International Journal of Numerical Analysis and Modeling
4 Computers & Mathematics with Applications
4 Computer Methods in Applied Mechanics and Engineering
4 Numerical Methods for Partial Differential Equations
4 Advances in Applied Mathematics and Mechanics
4 Science China. Mathematics
3 International Journal of Heat and Mass Transfer
3 Calcolo
3 Journal of Computational Mathematics
3 Applied Mathematical Modelling
3 SIAM Journal on Scientific Computing
3 Lobachevskii Journal of Mathematics
2 International Journal of Modern Physics B
2 Discrete Mathematics
2 International Journal for Numerical Methods in Fluids
2 Journal of Computational Physics
2 Applied Mathematics and Computation
2 Numerische Mathematik
2 Communications in Applied Numerical Methods
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Communications on Applied Mathematics and Computation
2 Electronic Research Archive
1 Applicable Analysis
1 Houston Journal of Mathematics
1 International Journal of Mechanical Sciences
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Periodica Mathematica Hungarica
1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
1 International Journal for Numerical Methods in Engineering
1 Mechanics Research Communications
1 RAIRO. Recherche Opérationnelle
1 SIAM Journal on Computing
1 Mathematica Numerica Sinica
1 Finite Elements in Analysis and Design
1 COMPEL
1 Applied Mathematics Letters
1 Signal Processing
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 Journal of Physics A: Mathematical and General
1 SIAM Journal on Applied Mathematics
1 Neurocomputing
1 Communications in Numerical Methods in Engineering
1 Advances in Computational Mathematics
1 Journal of Geodesy
1 Mathematical Problems in Engineering
1 Mathematical Inequalities & Applications
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 CMES. Computer Modeling in Engineering & Sciences
1 Physica Scripta
1 Scientia Iranica
1 Nonlinear Analysis. Modelling and Control
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Discrete and Continuous Dynamical Systems. Series B
1 International Journal of Fracture
1 Iranian Journal of Fuzzy Systems
1 Journal of Applied Functional Analysis
1 Frontiers of Mathematics in China
1 Communications in Computational Physics
1 Numerical Mathematics: Theory, Methods and Applications
1 Azerbaijan Journal of Mathematics
1 International Journal of Numerical Analysis and Modeling. Series B
1 Journal of Applied Analysis and Computation
1 Communications in Mathematics and Statistics
1 Annals of Applied Mathematics
1 Results in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,684 times in 1,010 Documents Cited by Year
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
579
1990
A new family of stable mixed finite elements for the 3D Stokes equations. Zbl 1085.76042
Zhang, Shangyou
105
2005
An introduction to computational nanomechanics and materials. Zbl 1079.74506
Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S.
89
2004
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
71
2015
A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
39
2014
Divergence-free finite elements on tetrahedral grids for \(k\geq 6\). Zbl 1410.76204
Zhang, Shangyou
36
2011
Quadratic divergence-free finite elements on Powell–Sabin tetrahedral grids. Zbl 1232.65151
Zhang, Shangyou
36
2011
On the P1 Powell-Sabin divergence-free finite element for the Stokes equations. Zbl 1174.65039
Zhang, Shangyou
33
2008
A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids. Zbl 1308.74148
Hu, Jun; Zhang, ShangYou
30
2015
A family of \(Q_{k+1,k}\times Q_{k,k+1}\) divergence-free finite elements on rectangular grids. Zbl 1406.76055
Zhang, Shangyou
29
2009
A family of 3D continuously differentiable finite elements on tetrahedral grids. Zbl 1205.76164
Zhang, Shangyou
28
2009
Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes. Zbl 0855.65124
Zhang, Shangyou
26
1995
A weak Galerkin finite element method for singularly perturbed convection-diffusion-reaction problems. Zbl 1448.65239
Lin, Runchang; Ye, Xiu; Zhang, Shangyou; Zhu, Peng
26
2018
A new divergence-free interpolation operator with applications to the Darcy-Stokes-Brinkman equations. Zbl 1352.76071
Xu, Xuejun; Zhang, Shangyou
24
2010
Finite element approximations of symmetric tensors on simplicial grids in \(\mathbb{R}^n\): the lower order case. Zbl 1348.65164
Hu, Jun; Zhang, Shangyou
23
2016
Any AND-OR formula of size \(N\) can be evaluated in time \(N^{1/2+o(1)}\) on a quantum computer. Zbl 1207.68151
Ambainis, A.; Childs, A. M.; Reichardt, B. W.; Špalek, R.; Zhang, S.
22
2010
A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension. Zbl 1296.65159
Hu, Jun; Man, Hongying; Zhang, Shangyou
22
2014
The lowest order differentiable finite element on rectangular grids. Zbl 1263.65115
Hu, Jun; Huang, Yunqing; Zhang, Shangyou
21
2011
On the full \(C_1\)-\(Q_k\) finite element spaces on rectangles and cuboids. Zbl 1262.65134
Zhang, Shangyou
18
2010
Optimal order multigrid methods for solving exterior boundary value problems. Zbl 0805.65113
Hsiao, George C.; Zhang, Shangyou
17
1994
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
15
1992
An improved product construction for large sets of Kirkman triple systems. Zbl 1012.05034
Zhang, S.; Zhu, L.
15
2003
Stability and approximability of the \(\mathcal P_{1}-\mathcal P_{0}\) element for Stokes equations. Zbl 1204.76020
Qin, Jinshui; Zhang, Shangyou
14
2007
The minimal conforming \(H^{k}\) finite element spaces on \(\mathbb R^{n}\) rectangular grids. Zbl 1307.65167
Hu, Jun; Zhang, Shangyou
14
2015
Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems. Zbl 0994.05032
Zhang, S.; Zhu, L.
14
2002
A C1-P2 finite element without nodal basis. Zbl 1145.65102
Zhang, Shangyou
13
2008
A lowest order divergence-free finite element on rectangular grids. Zbl 1226.65093
Huang, Yunqing; Zhang, Shangyou
12
2011
Wilson’s element for the Reissner-Mindlin plate. Zbl 0847.73070
Zhang, Zhimin; Zhang, Shangyou
12
1994
Optimal-order nonnested multigrid methods for solving finite element equations. I: On quasi-uniform meshes. Zbl 0703.65068
Zhang, Shangyou
12
1990
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128
Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
12
2019
An optimal order multigrid method for biharmonic, \(C^ 1\) finite element equations. Zbl 0667.65089
Zhang, Shangyou
10
1989
Chaotic dynamic analysis of viscoelastic plates. Zbl 0984.74032
Sun, Y. X.; Zhang, S. Y.
10
2001
Supercloseness of the divergence-free finite element solutions on rectangular grids. Zbl 1278.65180
Huang, Yunqing; Zhang, Shangyou
9
2013
Analytic representation of finite quantum systems. Zbl 1064.81073
Zhang, S.; Vourdas, A.
9
2005
Optimal-order nonnested multigrid methods for solving finite element equations. II: On non-quasi-uniform meshes. Zbl 0725.65035
Zhang, Shangyou
9
1990
A stabilizer-free weak Galerkin finite element method on polytopal meshes. Zbl 1434.65285
Ye, Xiu; Zhang, Shangyou
9
2020
A canonical construction of \({H^m}\)-nonconforming triangular finite elements. Zbl 1399.65326
Hu, Jun; Zhang, Shangyou
8
2017
Nonconforming finite element methods on quadrilateral meshes. Zbl 1310.65147
Hu, Jun; Zhang, Shangyou
7
2013
Optimal-order nonnested multigrid methods for solving finite element equations. III: On degenerate meshes. Zbl 0824.65124
Zhang, Shangyou
7
1995
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
7
2020
On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation. Zbl 1065.65135
Zhang, Shangyou
6
2004
Treatments of discontinuity and bubble functions in the multigrid method. Zbl 0870.65111
Zhang, Shangyou; Zhang, Zhimin
6
1997
Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate. Zbl 0891.73071
Zhang, Zhimin; Zhang, Shangyou
6
1996
A meshfree method for incompressible fluid dynamics problems. Zbl 1032.76658
Tsukanov, I.; Shapiro, V.; Zhang, S.
6
2003
Une méthode d’optimisation non linéaire en variables mixtes pour la conception de procédés. (A nonlinear optimization method in mixed variables for the design of processes). Zbl 0656.90071
Yuan, X.; Zhang, S.; Pibouleau, L.; Domenech, S.
6
1988
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
6
2016
Large deflection of a rectangular magnetoelectroelastic thin plate. Zbl 1272.74416
Xue, C. X.; Pan, E.; Zhang, S. Y.; Chu, H. J.
6
2011
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
6
2020
A generalized BPX multigrid framework covering nonnested V-cycle methods. Zbl 1121.65126
Duan, Huo-Yuan; Gao, Shao-Qin; Tan, Roger C. E.; Zhang, Shangyou
5
2007
On the optimal convergence rate of a Robin-Robin domain decomposition method. Zbl 1313.65289
Chen, Wenbin; Xu, Xuejun; Zhang, Shangyou
5
2014
Implementing and using high-order finite element methods. Zbl 0812.76042
Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou
5
1994
Film evaporation of a spherical droplet over a hot surface: fluid mechanics and heat/mass transfer analysis. Zbl 0717.76121
Zhang, S.; Gogos, G.
5
1991
A P4 bubble enriched P3 divergence-free finite element on triangular grids. Zbl 1397.65298
Zhang, Shangyou
5
2017
A discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
5
2018
Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs. Zbl 1451.65207
Ye, Xiu; Zhang, Shangyou; Zhu, Yunrong
5
2020
Graph connectivity and Wiener index. Zbl 1150.05327
Gutman, I.; Zhang, S.
4
2006
A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou
4
2011
Multigrid computation of vector potentials. Zbl 0860.65125
Monk, Peter; Zhang, Shangyou
4
1995
Features and partial derivatives of Bertalanffy-Richards growth model in forestry. Zbl 1047.92045
Lei, Y. C.; Zhang, S. Y.
4
2004
On the selective local stabilization of the mixed Q1-P0 element. Zbl 1130.65109
Qin, Jinshui; Zhang, Shangyou
4
2007
A superconvergence of the Morley element via postprocessing. Zbl 1278.65179
Huang, Jianguo; Huang, Xuehai; Zhang, Shangyou
3
2013
A new \(P_1\) weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
3
2020
Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements. Zbl 1128.65100
Zhang, Shangyou
3
2007
Numerical simulation of laser-induced transient temperature field in film-substrate system by finite element method. Zbl 1048.80009
Xu, B. Q.; Shen, Z. H.; Lu, J.; Ni, X. W.; Zhang, S. Y.
3
2003
New mixed elements for Maxwell equations. Zbl 1447.78015
Duan, Huoyuan; Du, Zhijie; Liu, Wei; Zhang, Shangyou
3
2019
On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation. Zbl 1434.65247
Cui, Ming; Zhang, Shangyou
3
2020
Algorithm for determining the volatility function in the Black-Scholes model. Zbl 1437.91430
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S.
3
2019
Development of a \({P}_2\) element with optimal \({L}^2\) convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
3
2019
High order hierarchical divergence-free constrained transport \(H\left({div} \right)\) finite element method for magnetic induction equation. Zbl 1399.65243
Cai, Wei; Hu, Jun; Zhang, Shangyou
3
2017
Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. Zbl 07328855
Yang, Yin; Wang, Jindi; Zhang, Shangyou; Tohidi, Emran
3
2020
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2
2020
Singularity of dynamic stress fields around an interface crack between viscoelastic bodies. Zbl 1187.74089
Wei, P. J.; Zhang, S. Y.
2
2004
A heat transfer model for thermal fluctuations in a thin slider/disk air bearing. Zbl 0954.76502
Zhang, S.; Bogy, D. B.
2
1999
Unsteady conservative streamfunction coordinate formulation: 1-D isentropic flow. Zbl 0810.76051
Barron, R. M.; An, C-F.; Zhang, S.
2
1994
New error estimates of nonconforming mixed finite element methods for the Stokes problem. Zbl 1314.65143
Li, Mingxia; Mao, Shipeng; Zhang, Shangyou
2
2014
A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306
Li, Jichun; Ye, Xiu; Zhang, Shangyou
2
2018
Conforming and nonconforming harmonic finite elements. Zbl 1434.65275
Sorokina, Tatyana; Zhang, Shangyou
2
2020
Spectral collocation methods for nonlinear coupled time fractional Nernst-Planck equations in two dimensions and its convergence analysis. Zbl 1442.65300
Yang, Yin; Qiao, Wanying; Wang, Jindi; Zhang, Shangyou
2
2019
The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on \(n\)-rectangular grids. Zbl 1443.65338
Hu, Jun; Man, Hongying; Wang, Jianye; Zhang, Shangyou
2
2016
\(C_0P_2-P_0\) Stokes finite element pair on sub-hexahedron tetrahedral grids. Zbl 1408.76374
Zhang, Shangyou; Zhang, Shuo
2
2017
A postprocessed flux conserving finite element solution. Zbl 1384.65085
Zhang, Shangyou; Zhang, Zhimin; Zou, Qingsong
2
2017
Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen-Cahn equation. Zbl 1399.65211
Hou, T.; Wang, K.; Xiong, Y.; Xiao, X.; Zhang, Sh.
2
2017
Nonsingular kernel boundary integral and finite element coupling method. Zbl 1417.65210
Xu, Liwei; Zhang, Shangyou; Hsiao, George C.
2
2019
An iterative method based on equation decomposition for the fourth-order singular perturbation problem. Zbl 1288.65165
Han, Houde; Huang, Zhongyi; Zhang, Shangyou
1
2013
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. Zbl 07379630
Mu, Lin; Ye, Xiu; Zhang, Shangyou
1
2021
Trivariate interpolated Galerkin finite elements for the Poisson equation. Zbl 07388341
Sorokina, Tatyana; Zhang, Shangyou
1
2021
A Jacobi collocation method for the fractional Ginzburg-Landau differential equation. Zbl 07409024
Yang, Yin; Tao, Jianyong; Zhang, Shangyou; Sivtsev, Petr V.
1
2020
Stable \(Q_k-Q_{k-1}\) mixed finite elements with discontinuous pressure. Zbl 1331.76074
Zhang, Shangyou; Mu, Mo
1
2016
Axisymmetric potential flow calculations. I: Analysis mode. Zbl 0699.76037
Barron, R. M.; Zhang, S.; Chandna, A.; Rudraiah, N.
1
1990
Phase space methods for particles on a circle. Zbl 1062.81102
Zhang, S.; Vourdas, A.
1
2003
A divergence-free finite element method for a type of 3D Maxwell equations. Zbl 1241.78043
Huang, Jianguo; Zhang, Shangyou
1
2012
Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou
1
2007
Axisymmetric finite element solution of non-isothermal parallel-plate flow. Zbl 1088.76028
Zhang, Shangyou; Olagunju, David O.
1
2005
Zeros in analytic representations of finite quantum systems on a torus. Zbl 1198.81112
Tubani, M.; Vourdas, A.; Zhang, S.
1
2010
Solving negative order equations by the multigrid method via variable substitution. Zbl 1307.65172
Hsiao, George C.; Xu, Liwei; Zhang, Shangyou
1
2014
Stability of solutions of generalized logistic difference equations. Zbl 0819.39005
Briden, W.; Zhang, S.
1
1994
Adaptive fitting of systematic errors in navigation. Zbl 1274.86027
Yang, Yuanxi; Zhang, S.
1
2005
Axisymmetric potential flow calculations. II: Design mode. Zbl 0736.76005
Zhang, S.; Barron, R. M.; Rudraiah, N.
1
1991
On the convergence of spectral multigrid methods for solving periodic problems. Zbl 0772.65078
Zhang, S.
1
1991
Shape optimization of turbine blades with the integration of aerodynamics and heat transfer. Zbl 0908.76079
Rajadas, J. N.; Chattopadhyay, A.; Pagaldipti, N.; Zhang, S.
1
1998
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. Zbl 07379630
Mu, Lin; Ye, Xiu; Zhang, Shangyou
1
2021
Trivariate interpolated Galerkin finite elements for the Poisson equation. Zbl 07388341
Sorokina, Tatyana; Zhang, Shangyou
1
2021
A stabilizer-free pressure-robust finite element method for the Stokes equations. Zbl 07351903
Ye, Xiu; Zhang, Shangyou
1
2021
A stabilizer-free weak Galerkin finite element method on polytopal meshes. Zbl 1434.65285
Ye, Xiu; Zhang, Shangyou
9
2020
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
7
2020
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
6
2020
Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs. Zbl 1451.65207
Ye, Xiu; Zhang, Shangyou; Zhu, Yunrong
5
2020
A new \(P_1\) weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
3
2020
On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation. Zbl 1434.65247
Cui, Ming; Zhang, Shangyou
3
2020
Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. Zbl 07328855
Yang, Yin; Wang, Jindi; Zhang, Shangyou; Tohidi, Emran
3
2020
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2
2020
Conforming and nonconforming harmonic finite elements. Zbl 1434.65275
Sorokina, Tatyana; Zhang, Shangyou
2
2020
A Jacobi collocation method for the fractional Ginzburg-Landau differential equation. Zbl 07409024
Yang, Yin; Tao, Jianyong; Zhang, Shangyou; Sivtsev, Petr V.
1
2020
An error analysis method SPP-BEAM and a construction guideline of nonconforming finite elements for fourth order elliptic problems. Zbl 1463.65110
Hu, Jun; Zhang, Shangyou
1
2020
The weak Galerkin finite element method for the transport-reaction equation. Zbl 1436.65193
Zhang, Tie; Zhang, Shangyou
1
2020
An inequality involving a triangle and an interior point and its application. Zbl 1444.51003
Sorokina, Tatyana; Zhang, Shangyou
1
2020
A family of 3D \(H^2\)-nonconforming tetrahedral finite elements for the biharmonic equation. Zbl 1446.65171
Hu, Jun; Tian, Shudan; Zhang, Shangyou
1
2020
A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes. Zbl 1447.65167
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
1
2020
Conforming harmonic finite elements on the Hsieh-Clough-Tocher split of a triangle. Zbl 1465.65146
Sorokina, Tatyana; Zhang, Shangyou
1
2020
The Euler-Lagrange approximation of the mean field game for the planning problem. Zbl 1466.65080
Shaydurov, V.; Kornienko, V.; Zhang, S.
1
2020
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128
Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
12
2019
New mixed elements for Maxwell equations. Zbl 1447.78015
Duan, Huoyuan; Du, Zhijie; Liu, Wei; Zhang, Shangyou
3
2019
Algorithm for determining the volatility function in the Black-Scholes model. Zbl 1437.91430
Isakov, V. M.; Kabanikhin, S. I.; Shananin, A. A.; Shishlenin, M. A.; Zhang, S.
3
2019
Development of a \({P}_2\) element with optimal \({L}^2\) convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
3
2019
Spectral collocation methods for nonlinear coupled time fractional Nernst-Planck equations in two dimensions and its convergence analysis. Zbl 1442.65300
Yang, Yin; Qiao, Wanying; Wang, Jindi; Zhang, Shangyou
2
2019
Nonsingular kernel boundary integral and finite element coupling method. Zbl 1417.65210
Xu, Liwei; Zhang, Shangyou; Hsiao, George C.
2
2019
A cubic \(H^3\)-nonconforming finite element. Zbl 1449.65315
Hu, Jun; Zhang, Shangyou
1
2019
A family of optimal Lagrange elements for Maxwell’s equations. Zbl 1415.65254
Duan, Huoyuan; Liu, Wei; Ma, Junhua; Tan, Roger C. E.; Zhang, Shangyou
1
2019
The finite difference approximation preserving conjugate properties of the mean-field game equations. Zbl 1418.91070
Shaydurov, V.; Zhang, S.; Karepova, E.
1
2019
A weak Galerkin finite element method for singularly perturbed convection-diffusion-reaction problems. Zbl 1448.65239
Lin, Runchang; Ye, Xiu; Zhang, Shangyou; Zhu, Peng
26
2018
A discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
5
2018
A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306
Li, Jichun; Ye, Xiu; Zhang, Shangyou
2
2018
Financial bubbles existence in the Cantor-Lippman model for continuous time. Zbl 1417.91480
Shananin, A. A.; Vashchenko, M. P.; Zhang, Sh.
1
2018
A canonical construction of \({H^m}\)-nonconforming triangular finite elements. Zbl 1399.65326
Hu, Jun; Zhang, Shangyou
8
2017
A P4 bubble enriched P3 divergence-free finite element on triangular grids. Zbl 1397.65298
Zhang, Shangyou
5
2017
High order hierarchical divergence-free constrained transport \(H\left({div} \right)\) finite element method for magnetic induction equation. Zbl 1399.65243
Cai, Wei; Hu, Jun; Zhang, Shangyou
3
2017
\(C_0P_2-P_0\) Stokes finite element pair on sub-hexahedron tetrahedral grids. Zbl 1408.76374
Zhang, Shangyou; Zhang, Shuo
2
2017
A postprocessed flux conserving finite element solution. Zbl 1384.65085
Zhang, Shangyou; Zhang, Zhimin; Zou, Qingsong
2
2017
Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen-Cahn equation. Zbl 1399.65211
Hou, T.; Wang, K.; Xiong, Y.; Xiao, X.; Zhang, Sh.
2
2017
Finite element approximations of symmetric tensors on simplicial grids in \(\mathbb{R}^n\): the lower order case. Zbl 1348.65164
Hu, Jun; Zhang, Shangyou
23
2016
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
6
2016
The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on \(n\)-rectangular grids. Zbl 1443.65338
Hu, Jun; Man, Hongying; Wang, Jianye; Zhang, Shangyou
2
2016
Stable \(Q_k-Q_{k-1}\) mixed finite elements with discontinuous pressure. Zbl 1331.76074
Zhang, Shangyou; Mu, Mo
1
2016
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
71
2015
A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids. Zbl 1308.74148
Hu, Jun; Zhang, ShangYou
30
2015
The minimal conforming \(H^{k}\) finite element spaces on \(\mathbb R^{n}\) rectangular grids. Zbl 1307.65167
Hu, Jun; Zhang, Shangyou
14
2015
A unified mortar condition for nonconforming finite elements. Zbl 1309.65138
Wang, Chunmei; Zhang, Shangyou; Chen, Jinru
1
2015
A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
39
2014
A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension. Zbl 1296.65159
Hu, Jun; Man, Hongying; Zhang, Shangyou
22
2014
On the optimal convergence rate of a Robin-Robin domain decomposition method. Zbl 1313.65289
Chen, Wenbin; Xu, Xuejun; Zhang, Shangyou
5
2014
New error estimates of nonconforming mixed finite element methods for the Stokes problem. Zbl 1314.65143
Li, Mingxia; Mao, Shipeng; Zhang, Shangyou
2
2014
Solving negative order equations by the multigrid method via variable substitution. Zbl 1307.65172
Hsiao, George C.; Xu, Liwei; Zhang, Shangyou
1
2014
Supercloseness of the divergence-free finite element solutions on rectangular grids. Zbl 1278.65180
Huang, Yunqing; Zhang, Shangyou
9
2013
Nonconforming finite element methods on quadrilateral meshes. Zbl 1310.65147
Hu, Jun; Zhang, Shangyou
7
2013
A superconvergence of the Morley element via postprocessing. Zbl 1278.65179
Huang, Jianguo; Huang, Xuehai; Zhang, Shangyou
3
2013
An iterative method based on equation decomposition for the fourth-order singular perturbation problem. Zbl 1288.65165
Han, Houde; Huang, Zhongyi; Zhang, Shangyou
1
2013
A divergence-free finite element method for a type of 3D Maxwell equations. Zbl 1241.78043
Huang, Jianguo; Zhang, Shangyou
1
2012
Divergence-free finite elements on tetrahedral grids for \(k\geq 6\). Zbl 1410.76204
Zhang, Shangyou
36
2011
Quadratic divergence-free finite elements on Powell–Sabin tetrahedral grids. Zbl 1232.65151
Zhang, Shangyou
36
2011
The lowest order differentiable finite element on rectangular grids. Zbl 1263.65115
Hu, Jun; Huang, Yunqing; Zhang, Shangyou
21
2011
A lowest order divergence-free finite element on rectangular grids. Zbl 1226.65093
Huang, Yunqing; Zhang, Shangyou
12
2011
Large deflection of a rectangular magnetoelectroelastic thin plate. Zbl 1272.74416
Xue, C. X.; Pan, E.; Zhang, S. Y.; Chu, H. J.
6
2011
A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou
4
2011
A new divergence-free interpolation operator with applications to the Darcy-Stokes-Brinkman equations. Zbl 1352.76071
Xu, Xuejun; Zhang, Shangyou
24
2010
Any AND-OR formula of size \(N\) can be evaluated in time \(N^{1/2+o(1)}\) on a quantum computer. Zbl 1207.68151
Ambainis, A.; Childs, A. M.; Reichardt, B. W.; Špalek, R.; Zhang, S.
22
2010
On the full \(C_1\)-\(Q_k\) finite element spaces on rectangles and cuboids. Zbl 1262.65134
Zhang, Shangyou
18
2010
Zeros in analytic representations of finite quantum systems on a torus. Zbl 1198.81112
Tubani, M.; Vourdas, A.; Zhang, S.
1
2010
A family of \(Q_{k+1,k}\times Q_{k,k+1}\) divergence-free finite elements on rectangular grids. Zbl 1406.76055
Zhang, Shangyou
29
2009
A family of 3D continuously differentiable finite elements on tetrahedral grids. Zbl 1205.76164
Zhang, Shangyou
28
2009
On the P1 Powell-Sabin divergence-free finite element for the Stokes equations. Zbl 1174.65039
Zhang, Shangyou
33
2008
A C1-P2 finite element without nodal basis. Zbl 1145.65102
Zhang, Shangyou
13
2008
Stability and approximability of the \(\mathcal P_{1}-\mathcal P_{0}\) element for Stokes equations. Zbl 1204.76020
Qin, Jinshui; Zhang, Shangyou
14
2007
A generalized BPX multigrid framework covering nonnested V-cycle methods. Zbl 1121.65126
Duan, Huo-Yuan; Gao, Shao-Qin; Tan, Roger C. E.; Zhang, Shangyou
5
2007
On the selective local stabilization of the mixed Q1-P0 element. Zbl 1130.65109
Qin, Jinshui; Zhang, Shangyou
4
2007
Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements. Zbl 1128.65100
Zhang, Shangyou
3
2007
Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou
1
2007
Graph connectivity and Wiener index. Zbl 1150.05327
Gutman, I.; Zhang, S.
4
2006
A new family of stable mixed finite elements for the 3D Stokes equations. Zbl 1085.76042
Zhang, Shangyou
105
2005
Analytic representation of finite quantum systems. Zbl 1064.81073
Zhang, S.; Vourdas, A.
9
2005
Axisymmetric finite element solution of non-isothermal parallel-plate flow. Zbl 1088.76028
Zhang, Shangyou; Olagunju, David O.
1
2005
Adaptive fitting of systematic errors in navigation. Zbl 1274.86027
Yang, Yuanxi; Zhang, S.
1
2005
An introduction to computational nanomechanics and materials. Zbl 1079.74506
Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S.
89
2004
On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation. Zbl 1065.65135
Zhang, Shangyou
6
2004
Features and partial derivatives of Bertalanffy-Richards growth model in forestry. Zbl 1047.92045
Lei, Y. C.; Zhang, S. Y.
4
2004
Singularity of dynamic stress fields around an interface crack between viscoelastic bodies. Zbl 1187.74089
Wei, P. J.; Zhang, S. Y.
2
2004
Two-dimensional transient thermal analysis of diamond/Si structures heated by a pulsed circular Gaussian laser beam. Zbl 1052.74005
Mi, X. B.; Gao, H. D.; Zhang, S. Y.
1
2004
An improved product construction for large sets of Kirkman triple systems. Zbl 1012.05034
Zhang, S.; Zhu, L.
15
2003
A meshfree method for incompressible fluid dynamics problems. Zbl 1032.76658
Tsukanov, I.; Shapiro, V.; Zhang, S.
6
2003
Numerical simulation of laser-induced transient temperature field in film-substrate system by finite element method. Zbl 1048.80009
Xu, B. Q.; Shen, Z. H.; Lu, J.; Ni, X. W.; Zhang, S. Y.
3
2003
Phase space methods for particles on a circle. Zbl 1062.81102
Zhang, S.; Vourdas, A.
1
2003
Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems. Zbl 0994.05032
Zhang, S.; Zhu, L.
14
2002
Chaotic dynamic analysis of viscoelastic plates. Zbl 0984.74032
Sun, Y. X.; Zhang, S. Y.
10
2001
Refined non-conforming triangular plate element for geometrically nonlinear analysis. Zbl 1097.74552
Cheung, Y. K.; Zhang, S.; Chen, W.
1
2001
A heat transfer model for thermal fluctuations in a thin slider/disk air bearing. Zbl 0954.76502
Zhang, S.; Bogy, D. B.
2
1999
Shape optimization of turbine blades with the integration of aerodynamics and heat transfer. Zbl 0908.76079
Rajadas, J. N.; Chattopadhyay, A.; Pagaldipti, N.; Zhang, S.
1
1998
Treatments of discontinuity and bubble functions in the multigrid method. Zbl 0870.65111
Zhang, Shangyou; Zhang, Zhimin
6
1997
Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate. Zbl 0891.73071
Zhang, Zhimin; Zhang, Shangyou
6
1996
Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes. Zbl 0855.65124
Zhang, Shangyou
26
1995
Optimal-order nonnested multigrid methods for solving finite element equations. III: On degenerate meshes. Zbl 0824.65124
Zhang, Shangyou
7
1995
Multigrid computation of vector potentials. Zbl 0860.65125
Monk, Peter; Zhang, Shangyou
4
1995
...and 16 more Documents
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Cited by 1,098 Authors

65 Zhang, Shangyou
34 Rebholz, Leo G.
25 Ye, Xiu
22 Linke, Alexander
20 Praetorius, Dirk
19 Hu, Jun
19 Neilan, Michael
17 Carstensen, Carsten
17 Girault, Vivette
17 Zhang, Ran
15 Mu, Lin
15 Zhai, Qilong
14 Guzmán, Johnny
14 Larson, Mats G.
14 Melenk, Jens Markus
13 Duan, Huoyuan
13 Wang, Junping
13 Wohlmuth, Barbara I.
12 Chen, Long
12 Karkulik, Michael
12 Li, Jichun
11 Brenner, Susanne Cecelia
11 Burman, Erik
11 Feischl, Michael
11 Gatica, Gabriel N.
11 Scott, Larkin Ridgway
11 Xu, Jinchao
11 Zhang, Zhimin
10 Huang, Xuehai
10 Huang, Yunqing
10 Nochetto, Ricardo Horacio
10 Salgado, Abner J.
10 Wu, Haijun
10 Xie, Hehu
10 Zhang, Shuo
9 Führer, Thomas
9 Hansbo, Peter
9 Merdon, Christian
9 Wang, Ruishu
9 Xie, Xiaoping
9 Xu, Xuejun
9 Xu, Yifeng
9 Yan, Ningning
8 Shi, Zhongci
8 Stevenson, Rob P.
8 Tan, Roger C. E.
8 Veeser, Andreas
8 Wang, Chunmei
8 Wang, Xiaoshen
8 Zou, Jun
7 Chen, Jinru
7 Chen, Shaochun
7 Hiptmair, Ralf
7 Ku, Jaeun
7 Lamichhane, Bishnu Prasad
7 Mao, Shipeng
7 Meng, Zhaoliang
7 Nicaise, Serge
7 Otárola, Enrique
7 Peterseim, Daniel
7 Rubino, Samuele
7 Sinha, Rajen Kumar
7 Wilson, Nicholas E.
7 Zhu, Peng
6 Ainsworth, Mark
6 Gedicke, Joscha
6 Guillén González, Francisco M.
6 John, Volker
6 Korotov, Sergey
6 Liu, Steve Wenbin
6 Luo, Zhongxuan
6 Park, Eun-Jae
6 Sayas, Francisco-Javier
6 Tobiska, Lutz
6 Wu, Shuonan
6 Xiao, Mengying
5 Ahmed, Naveed
5 Apel, Thomas
5 Badia, Santiago
5 Bi, Chunjia
5 Chacón Rebollo, Tomás
5 Demlow, Alan
5 Durán, Ricardo G.
5 Faustmann, Markus
5 Feng, Minfu
5 Gallistl, Dietmar
5 Georgoulis, Emmanuil H.
5 Graham, Ivan G.
5 Hussain, Saqib
5 Kreuzer, Christian
5 Křížek, Michal
5 Li, Minghao
5 Liu, Jiangguo
5 Lube, Gert
5 Novo, Julia
5 Quyen, Tran Nhan Tam
5 Shi, Dongyang
5 Sorokina, Tatyana
5 Tavener, Simon J.
5 Wang, Zhoufeng
...and 998 more Authors
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Cited in 109 Serials

86 Mathematics of Computation
86 Numerische Mathematik
81 Journal of Computational and Applied Mathematics
77 Journal of Scientific Computing
60 Computers & Mathematics with Applications
53 SIAM Journal on Numerical Analysis
51 Computer Methods in Applied Mechanics and Engineering
47 Applied Numerical Mathematics
33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
27 SIAM Journal on Scientific Computing
23 Applied Mathematics and Computation
19 Numerical Methods for Partial Differential Equations
19 Advances in Applied Mathematics and Mechanics
18 Calcolo
17 Journal of Computational Physics
16 Computational Methods in Applied Mathematics
15 Advances in Computational Mathematics
15 Science China. Mathematics
14 Journal of Numerical Mathematics
12 International Journal for Numerical Methods in Engineering
10 Journal of Mathematical Analysis and Applications
10 Communications in Computational Physics
9 BIT
9 Numerical Functional Analysis and Optimization
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Applied Mathematics Letters
6 Mathematical Problems in Engineering
6 Foundations of Computational Mathematics
6 Discrete and Continuous Dynamical Systems. Series B
5 Numerical Algorithms
5 Frontiers of Mathematics in China
4 Mathematical Methods in the Applied Sciences
4 Computing
4 Applications of Mathematics
4 Computational and Applied Mathematics
4 Computational Geosciences
4 International Journal of Numerical Analysis and Modeling
4 SMAI Journal of Computational Mathematics
4 Electronic Research Archive
3 International Journal for Numerical Methods in Fluids
3 Science in China. Series A
3 International Journal of Computer Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Engineering Analysis with Boundary Elements
3 Archives of Computational Methods in Engineering
3 Multiscale Modeling & Simulation
3 Boundary Value Problems
3 Communications on Applied Mathematics and Computation
3 Results in Applied Mathematics
2 Applicable Analysis
2 Inverse Problems
2 Applied Mathematics and Optimization
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Constructive Approximation
2 Japan Journal of Industrial and Applied Mathematics
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2 Applied Mathematical Modelling
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Computational Optimization and Applications
2 Numerical Linear Algebra with Applications
2 Computing and Visualization in Science
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Journal of Mathematical Fluid Mechanics
2 Engineering Computations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Computational Methods
2 Advances in Mathematical Physics
2 S\(\vec{\text{e}}\)MA Journal
2 Journal of Applied Analysis and Computation
2 East Asian Journal on Applied Mathematics
1 Journal of Engineering Mathematics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematicae Applicatae Sinica. English Series
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 Journal of Integral Equations and Applications
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Mathematical Imaging and Vision
1 Continuum Mechanics and Thermodynamics
1 Applied Mathematics. Series B (English Edition)
1 Journal of Convex Analysis
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Discrete and Continuous Dynamical Systems
1 Vietnam Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 International Journal of Applied Mathematics and Computer Science
1 Lobachevskii Journal of Mathematics
1 Differential Equations
1 Journal of Applied Mathematics and Computing
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