# zbMATH — the first resource for mathematics

## Zhang, Shangyou

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 Author ID: zhang.shangyou Published as: Zhang, S.; Zhang, S. Y.; Zhang, Sh.; Zhang, ShangYou; Zhang, Shangyou
 Documents Indexed: 148 Publications since 1988
all top 5

#### Co-Authors

 18 single-authored 21 Ye, Xiu 13 Hu, Jun 8 Zhang, Zhimin 5 Wang, Junping 5 Zhu, Peng 4 Hsiao, George C. 4 Huang, Yunqing 4 Mu, Lin 3 Duan, Huoyuan 3 Scott, Larkin Ridgway 3 Sorokina, Tatyana 2 Huang, Jianguo 2 Li, Jichun 2 Lin, Runchang 2 Liu, Wei 2 Man, Hongying 2 Olagunju, David O. 2 Qin, Jinshui 2 Tan, Roger C. E. 2 Wang, Chunmei 2 Wang, Jindi 2 Xu, Liwei 2 Xu, Xuejun 2 Yang, Yin 2 Zhai, Qilong 2 Zhang, Ran 2 Zhang, Tie 1 Bacuta, Constantin 1 Bagheri, Babak 1 Cai, Wei 1 Chen, Chuanmiao 1 Chen, Jinru 1 Chen, Wenbin 1 Cui, Ming 1 Du, Zhijie 1 Feng, Yue 1 Gao, Fuzheng 1 Gao, Shaoqin 1 Gilbert, Robert Pertsch 1 Han, Houde 1 Hu, Hongling 1 Huang, Xuehai 1 Huang, Zhongyi 1 Jensen, Søren Holdt 1 Li, Mingxia 1 Liu, Yujie 1 Ma, Junhua 1 Mao, Shipeng 1 Marcozzi, Michael D. 1 Monk, Peter B. 1 Mu, Mo 1 Qiao, Wanying 1 Qin, Lizhen 1 Tian, Shudan 1 Tian, Tian 1 Tohidi, Emran 1 Vassilevski, Panayot Spirov 1 Vyas, Anand B. 1 Wang, Jianye 1 Wang, Ruishu 1 Xie, Dejun 1 Xie, Ziqing 1 Xu, Yongzhi S. 1 Zhang, Min 1 Zhang, Shuo 1 Zhu, Yunrong 1 Zou, Qingsong
all top 5

#### Serials

 13 Journal of Computational and Applied Mathematics 11 Mathematics of Computation 7 SIAM Journal on Numerical Analysis 6 Journal of Scientific Computing 5 Applied Numerical Mathematics 5 International Journal of Numerical Analysis and Modeling 4 Computers & Mathematics with Applications 4 Numerical Methods for Partial Differential Equations 3 Computer Methods in Applied Mechanics and Engineering 3 Calcolo 3 Journal of Computational Mathematics 3 Science China. Mathematics 2 International Journal for Numerical Methods in Fluids 2 Journal of Computational Physics 2 Applied Mathematics and Computation 2 Numerische Mathematik 2 SIAM Journal on Scientific Computing 2 Electronic Research Archive 1 Applicable Analysis 1 Houston Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematica Numerica Sinica 1 Finite Elements in Analysis and Design 1 Applied Mathematics Letters 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Advances in Computational Mathematics 1 Mathematical Inequalities & Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Applied Functional Analysis 1 Frontiers of Mathematics in China 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics 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 Communications on Applied Mathematics and Computation 1 Results in Applied Mathematics
all top 5

#### Fields

 91 Numerical analysis (65-XX) 61 Partial differential equations (35-XX) 27 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

101 Publications have been cited 1,500 times in 1,111 Documents Cited by Year
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
1990
A new family of stable mixed finite elements for the 3D Stokes equations. Zbl 1085.76042
Zhang, Shangyou
2005
An introduction to computational nanomechanics and materials. Zbl 1079.74506
Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S.
2004
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2015
A $$C^0$$-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2014
Quadratic divergence-free finite elements on Powell–Sabin tetrahedral grids. Zbl 1232.65151
Zhang, Shangyou
2011
Divergence-free finite elements on tetrahedral grids for $$k\geq 6$$. Zbl 1410.76204
Zhang, Shangyou
2011
On the P1 Powell-Sabin divergence-free finite element for the Stokes equations. Zbl 1174.65039
Zhang, Shangyou
2008
A family of $$Q_{k+1,k}\times Q_{k,k+1}$$ divergence-free finite elements on rectangular grids. Zbl 1406.76055
Zhang, Shangyou
2009
Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes. Zbl 0855.65124
Zhang, Shangyou
1995
A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids. Zbl 1308.74148
Hu, Jun; Zhang, ShangYou
2015
A new divergence-free interpolation operator with applications to the Darcy-Stokes-Brinkman equations. Zbl 1352.76071
Xu, Xuejun; Zhang, Shangyou
2010
A family of 3D continuously differentiable finite elements on tetrahedral grids. Zbl 1205.76164
Zhang, Shangyou
2009
A weak Galerkin finite element method for singularly perturbed convection-diffusion-reaction problems. Zbl 1448.65239
Lin, Runchang; Ye, Xiu; Zhang, Shangyou; Zhu, Peng
2018
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
2014
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.
2010
The lowest order differentiable finite element on rectangular grids. Zbl 1263.65115
Hu, Jun; Huang, Yunqing; Zhang, Shangyou
2011
Optimal order multigrid methods for solving exterior boundary value problems. Zbl 0805.65113
Hsiao, George C.; Zhang, Shangyou
1994
Finite element approximations of symmetric tensors on simplicial grids in $$\mathbb{R}^n$$: the lower order case. Zbl 1348.65164
Hu, Jun; Zhang, Shangyou
2016
On the full $$C_1$$-$$Q_k$$ finite element spaces on rectangles and cuboids. Zbl 1262.65134
Zhang, Shangyou
2010
An improved product construction for large sets of Kirkman triple systems. Zbl 1012.05034
Zhang, S.; Zhu, L.
2003
Stability and approximability of the $$\mathcal P_{1}-\mathcal P_{0}$$ element for Stokes equations. Zbl 1204.76020
Qin, Jinshui; Zhang, Shangyou
2007
Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems. Zbl 0994.05032
Zhang, S.; Zhu, L.
2002
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
1992
A lowest order divergence-free finite element on rectangular grids. Zbl 1226.65093
Huang, Yunqing; Zhang, Shangyou
2011
Wilson’s element for the Reissner-Mindlin plate. Zbl 0847.73070
Zhang, Zhimin; Zhang, Shangyou
1994
Optimal-order nonnested multigrid methods for solving finite element equations. I: On quasi-uniform meshes. Zbl 0703.65068
Zhang, Shangyou
1990
The minimal conforming $$H^{k}$$ finite element spaces on $$\mathbb R^{n}$$ rectangular grids. Zbl 1307.65167
Hu, Jun; Zhang, Shangyou
2015
Chaotic dynamic analysis of viscoelastic plates. Zbl 0984.74032
Sun, Y. X.; Zhang, S. Y.
2001
A C1-P2 finite element without nodal basis. Zbl 1145.65102
Zhang, Shangyou
2008
Optimal-order nonnested multigrid methods for solving finite element equations. II: On non-quasi-uniform meshes. Zbl 0725.65035
Zhang, Shangyou
1990
An optimal order multigrid method for biharmonic, $$C^ 1$$ finite element equations. Zbl 0667.65089
Zhang, Shangyou
1989
Analytic representation of finite quantum systems. Zbl 1064.81073
Zhang, S.; Vourdas, A.
2005
A canonical construction of $${H^m}$$-nonconforming triangular finite elements. Zbl 1399.65326
Hu, Jun; Zhang, Shangyou
2017
Supercloseness of the divergence-free finite element solutions on rectangular grids. Zbl 1278.65180
Huang, Yunqing; Zhang, Shangyou
2013
Optimal-order nonnested multigrid methods for solving finite element equations. III: On degenerate meshes. Zbl 0824.65124
Zhang, Shangyou
1995
A stabilizer-free weak Galerkin finite element method on polytopal meshes. Zbl 1434.65285
Ye, Xiu; Zhang, Shangyou
2020
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128
Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
2019
Nonconforming finite element methods on quadrilateral meshes. Zbl 1310.65147
Hu, Jun; Zhang, Shangyou
2013
Large deflection of a rectangular magnetoelectroelastic thin plate. Zbl 1272.74416
Xue, C. X.; Pan, E.; Zhang, S. Y.; Chu, H. J.
2011
On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation. Zbl 1065.65135
Zhang, Shangyou
2004
A meshfree method for incompressible fluid dynamics problems. Zbl 1032.76658
Tsukanov, I.; Shapiro, V.; Zhang, S.
2003
Treatments of discontinuity and bubble functions in the multigrid method. Zbl 0870.65111
Zhang, Shangyou; Zhang, Zhimin
1997
Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate. Zbl 0891.73071
Zhang, Zhimin; Zhang, Shangyou
1996
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.
1988
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
2007
Implementing and using high-order finite element methods. Zbl 0812.76042
Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou
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.
1991
A discrete divergence free weak Galerkin finite element method for the Stokes equations. Zbl 1378.76051
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2018
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
2016
On the optimal convergence rate of a Robin-Robin domain decomposition method. Zbl 1313.65289
Chen, Wenbin; Xu, Xuejun; Zhang, Shangyou
2014
A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou
2011
On the selective local stabilization of the mixed Q1-P0 element. Zbl 1130.65109
Qin, Jinshui; Zhang, Shangyou
2007
Graph connectivity and Wiener index. Zbl 1150.05327
Gutman, I.; Zhang, S.
2006
Multigrid computation of vector potentials. Zbl 0860.65125
Monk, Peter; Zhang, Shangyou
1995
A conforming discontinuous Galerkin finite element method. II. Zbl 07244839
Ye, Xiu; Zhang, Shangyou
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.
2019
A P4 bubble enriched P3 divergence-free finite element on triangular grids. Zbl 1397.65298
Zhang, Shangyou
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
2017
A superconvergence of the Morley element via postprocessing. Zbl 1278.65179
Huang, Jianguo; Huang, Xuehai; Zhang, Shangyou
2013
Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements. Zbl 1128.65100
Zhang, Shangyou
2007
Features and partial derivatives of Bertalanffy-Richards growth model in forestry. Zbl 1047.92045
Lei, Y. C.; Zhang, S. Y.
2004
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.
2003
A conforming discontinuous Galerkin finite element method. Zbl 07244679
Ye, Xiu; Zhang, Shangyou
2020
Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs. Zbl 1451.65207
Ye, Xiu; Zhang, Shangyou; Zhu, Yunrong
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
2020
A new $$P_1$$ weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
2020
Development of a $${P}_2$$ element with optimal $${L}^2$$ convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2019
Nonsingular kernel boundary integral and finite element coupling method. Zbl 1417.65210
Xu, Liwei; Zhang, Shangyou; Hsiao, George C.
2019
A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306
Li, Jichun; Ye, Xiu; Zhang, Shangyou
2018
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.
2017
$$C_0P_2-P_0$$ Stokes finite element pair on sub-hexahedron tetrahedral grids. Zbl 1408.76374
Zhang, Shangyou; Zhang, Shuo
2017
New error estimates of nonconforming mixed finite element methods for the Stokes problem. Zbl 1314.65143
Li, Mingxia; Mao, Shipeng; Zhang, Shangyou
2014
Singularity of dynamic stress fields around an interface crack between viscoelastic bodies. Zbl 1187.74089
Wei, P. J.; Zhang, S. Y.
2004
A heat transfer model for thermal fluctuations in a thin slider/disk air bearing. Zbl 0954.76502
Zhang, S.; Bogy, D. B.
1999
Streamfunction coordinate formulation for one-dimensional unsteady flow. Zbl 0848.76077
An, C.-F.; Barron, R. M.; Zhang, S.
1995
Unsteady conservative streamfunction coordinate formulation: 1-D isentropic flow. Zbl 0810.76051
Barron, R. M.; An, C-F.; Zhang, S.
1994
An inequality involving a triangle and an interior point and its application. Zbl 1444.51003
Sorokina, Tatyana; Zhang, Shangyou
2020
Conforming and nonconforming harmonic finite elements. Zbl 1434.65275
Sorokina, Tatyana; Zhang, Shangyou
2020
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2020
A cubic $$H^3$$-nonconforming finite element. Zbl 1449.65315
Hu, Jun; Zhang, Shangyou
2019
The finite difference approximation preserving conjugate properties of the mean-field game equations. Zbl 1418.91070
Shaydurov, V.; Zhang, S.; Karepova, E.
2019
New mixed elements for Maxwell equations. Zbl 1447.78015
Duan, Huoyuan; Du, Zhijie; Liu, Wei; Zhang, Shangyou
2019
A postprocessed flux conserving finite element solution. Zbl 1384.65085
Zhang, Shangyou; Zhang, Zhimin; Zou, Qingsong
2017
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
2016
Stable $$Q_k-Q_{k-1}$$ mixed finite elements with discontinuous pressure. Zbl 1331.76074
Zhang, Shangyou; Mu, Mo
2016
A unified mortar condition for nonconforming finite elements. Zbl 1309.65138
Wang, Chunmei; Zhang, Shangyou; Chen, Jinru
2015
Solving negative order equations by the multigrid method via variable substitution. Zbl 1307.65172
Hsiao, George C.; Xu, Liwei; Zhang, Shangyou
2014
An iterative method based on equation decomposition for the fourth-order singular perturbation problem. Zbl 1288.65165
Han, Houde; Huang, Zhongyi; Zhang, Shangyou
2013
Zeros in analytic representations of finite quantum systems on a torus. Zbl 1198.81112
Tubani, M.; Vourdas, A.; Zhang, S.
2010
Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou
2007
Yang, Yuanxi; Zhang, S.
2005
Axisymmetric finite element solution of non-isothermal parallel-plate flow. Zbl 1088.76028
Zhang, Shangyou; Olagunju, David O.
2005
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.
2004
Phase space methods for particles on a circle. Zbl 1062.81102
Zhang, S.; Vourdas, A.
2003
Refined non-conforming triangular plate element for geometrically nonlinear analysis. Zbl 1097.74552
Cheung, Y. K.; Zhang, S.; Chen, W.
2001
Shape optimization of turbine blades with the integration of aerodynamics and heat transfer. Zbl 0908.76079
1998
Stability of solutions of generalized logistic difference equations. Zbl 0819.39005
Briden, W.; Zhang, S.
1994
On the convergence of spectral multigrid methods for solving periodic problems. Zbl 0772.65078
Zhang, S.
1991
Axisymmetric potential flow calculations. II: Design mode. Zbl 0736.76005
Zhang, S.; Barron, R. M.; Rudraiah, N.
1991
A stabilizer-free weak Galerkin finite element method on polytopal meshes. Zbl 1434.65285
Ye, Xiu; Zhang, Shangyou
2020
A conforming discontinuous Galerkin finite element method. II. Zbl 07244839
Ye, Xiu; Zhang, Shangyou
2020
A conforming discontinuous Galerkin finite element method. Zbl 07244679
Ye, Xiu; Zhang, Shangyou
2020
Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs. Zbl 1451.65207
Ye, Xiu; Zhang, Shangyou; Zhu, Yunrong
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
2020
A new $$P_1$$ weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
2020
An inequality involving a triangle and an interior point and its application. Zbl 1444.51003
Sorokina, Tatyana; Zhang, Shangyou
2020
Conforming and nonconforming harmonic finite elements. Zbl 1434.65275
Sorokina, Tatyana; Zhang, Shangyou
2020
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2020
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128
Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
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.
2019
Development of a $${P}_2$$ element with optimal $${L}^2$$ convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
2019
Nonsingular kernel boundary integral and finite element coupling method. Zbl 1417.65210
Xu, Liwei; Zhang, Shangyou; Hsiao, George C.
2019
A cubic $$H^3$$-nonconforming finite element. Zbl 1449.65315
Hu, Jun; Zhang, Shangyou
2019
The finite difference approximation preserving conjugate properties of the mean-field game equations. Zbl 1418.91070
Shaydurov, V.; Zhang, S.; Karepova, E.
2019
New mixed elements for Maxwell equations. Zbl 1447.78015
Duan, Huoyuan; Du, Zhijie; Liu, Wei; Zhang, Shangyou
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
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
2018
A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306
Li, Jichun; Ye, Xiu; Zhang, Shangyou
2018
A canonical construction of $${H^m}$$-nonconforming triangular finite elements. Zbl 1399.65326
Hu, Jun; Zhang, Shangyou
2017
A P4 bubble enriched P3 divergence-free finite element on triangular grids. Zbl 1397.65298
Zhang, Shangyou
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
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.
2017
$$C_0P_2-P_0$$ Stokes finite element pair on sub-hexahedron tetrahedral grids. Zbl 1408.76374
Zhang, Shangyou; Zhang, Shuo
2017
A postprocessed flux conserving finite element solution. Zbl 1384.65085
Zhang, Shangyou; Zhang, Zhimin; Zou, Qingsong
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
2016
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
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
2016
Stable $$Q_k-Q_{k-1}$$ mixed finite elements with discontinuous pressure. Zbl 1331.76074
Zhang, Shangyou; Mu, Mo
2016
A weak Galerkin finite element method for the Maxwell equations. Zbl 1327.65220
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
2015
A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids. Zbl 1308.74148
Hu, Jun; Zhang, ShangYou
2015
The minimal conforming $$H^{k}$$ finite element spaces on $$\mathbb R^{n}$$ rectangular grids. Zbl 1307.65167
Hu, Jun; Zhang, Shangyou
2015
A unified mortar condition for nonconforming finite elements. Zbl 1309.65138
Wang, Chunmei; Zhang, Shangyou; Chen, Jinru
2015
A $$C^0$$-weak Galerkin finite element method for the biharmonic equation. Zbl 1305.65233
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou
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
2014
On the optimal convergence rate of a Robin-Robin domain decomposition method. Zbl 1313.65289
Chen, Wenbin; Xu, Xuejun; Zhang, Shangyou
2014
New error estimates of nonconforming mixed finite element methods for the Stokes problem. Zbl 1314.65143
Li, Mingxia; Mao, Shipeng; Zhang, Shangyou
2014
Solving negative order equations by the multigrid method via variable substitution. Zbl 1307.65172
Hsiao, George C.; Xu, Liwei; Zhang, Shangyou
2014
Supercloseness of the divergence-free finite element solutions on rectangular grids. Zbl 1278.65180
Huang, Yunqing; Zhang, Shangyou
2013
Nonconforming finite element methods on quadrilateral meshes. Zbl 1310.65147
Hu, Jun; Zhang, Shangyou
2013
A superconvergence of the Morley element via postprocessing. Zbl 1278.65179
Huang, Jianguo; Huang, Xuehai; Zhang, Shangyou
2013
An iterative method based on equation decomposition for the fourth-order singular perturbation problem. Zbl 1288.65165
Han, Houde; Huang, Zhongyi; Zhang, Shangyou
2013
Quadratic divergence-free finite elements on Powell–Sabin tetrahedral grids. Zbl 1232.65151
Zhang, Shangyou
2011
Divergence-free finite elements on tetrahedral grids for $$k\geq 6$$. Zbl 1410.76204
Zhang, Shangyou
2011
The lowest order differentiable finite element on rectangular grids. Zbl 1263.65115
Hu, Jun; Huang, Yunqing; Zhang, Shangyou
2011
A lowest order divergence-free finite element on rectangular grids. Zbl 1226.65093
Huang, Yunqing; Zhang, Shangyou
2011
Large deflection of a rectangular magnetoelectroelastic thin plate. Zbl 1272.74416
Xue, C. X.; Pan, E.; Zhang, S. Y.; Chu, H. J.
2011
A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou
2011
A new divergence-free interpolation operator with applications to the Darcy-Stokes-Brinkman equations. Zbl 1352.76071
Xu, Xuejun; Zhang, Shangyou
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.
2010
On the full $$C_1$$-$$Q_k$$ finite element spaces on rectangles and cuboids. Zbl 1262.65134
Zhang, Shangyou
2010
Zeros in analytic representations of finite quantum systems on a torus. Zbl 1198.81112
Tubani, M.; Vourdas, A.; Zhang, S.
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
2009
A family of 3D continuously differentiable finite elements on tetrahedral grids. Zbl 1205.76164
Zhang, Shangyou
2009
On the P1 Powell-Sabin divergence-free finite element for the Stokes equations. Zbl 1174.65039
Zhang, Shangyou
2008
A C1-P2 finite element without nodal basis. Zbl 1145.65102
Zhang, Shangyou
2008
Stability and approximability of the $$\mathcal P_{1}-\mathcal P_{0}$$ element for Stokes equations. Zbl 1204.76020
Qin, Jinshui; Zhang, Shangyou
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
2007
On the selective local stabilization of the mixed Q1-P0 element. Zbl 1130.65109
Qin, Jinshui; Zhang, Shangyou
2007
Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements. Zbl 1128.65100
Zhang, Shangyou
2007
Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou
2007
Graph connectivity and Wiener index. Zbl 1150.05327
Gutman, I.; Zhang, S.
2006
A new family of stable mixed finite elements for the 3D Stokes equations. Zbl 1085.76042
Zhang, Shangyou
2005
Analytic representation of finite quantum systems. Zbl 1064.81073
Zhang, S.; Vourdas, A.
2005
Yang, Yuanxi; Zhang, S.
2005
Axisymmetric finite element solution of non-isothermal parallel-plate flow. Zbl 1088.76028
Zhang, Shangyou; Olagunju, David O.
2005
An introduction to computational nanomechanics and materials. Zbl 1079.74506
Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S.
2004
On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation. Zbl 1065.65135
Zhang, Shangyou
2004
Features and partial derivatives of Bertalanffy-Richards growth model in forestry. Zbl 1047.92045
Lei, Y. C.; Zhang, S. Y.
2004
Singularity of dynamic stress fields around an interface crack between viscoelastic bodies. Zbl 1187.74089
Wei, P. J.; Zhang, S. Y.
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.
2004
An improved product construction for large sets of Kirkman triple systems. Zbl 1012.05034
Zhang, S.; Zhu, L.
2003
A meshfree method for incompressible fluid dynamics problems. Zbl 1032.76658
Tsukanov, I.; Shapiro, V.; Zhang, S.
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.
2003
Phase space methods for particles on a circle. Zbl 1062.81102
Zhang, S.; Vourdas, A.
2003
Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems. Zbl 0994.05032
Zhang, S.; Zhu, L.
2002
Chaotic dynamic analysis of viscoelastic plates. Zbl 0984.74032
Sun, Y. X.; Zhang, S. Y.
2001
Refined non-conforming triangular plate element for geometrically nonlinear analysis. Zbl 1097.74552
Cheung, Y. K.; Zhang, S.; Chen, W.
2001
A heat transfer model for thermal fluctuations in a thin slider/disk air bearing. Zbl 0954.76502
Zhang, S.; Bogy, D. B.
1999
Shape optimization of turbine blades with the integration of aerodynamics and heat transfer. Zbl 0908.76079
1998
Treatments of discontinuity and bubble functions in the multigrid method. Zbl 0870.65111
Zhang, Shangyou; Zhang, Zhimin
1997
Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate. Zbl 0891.73071
Zhang, Zhimin; Zhang, Shangyou
1996
Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes. Zbl 0855.65124
Zhang, Shangyou
1995
Optimal-order nonnested multigrid methods for solving finite element equations. III: On degenerate meshes. Zbl 0824.65124
Zhang, Shangyou
1995
Multigrid computation of vector potentials. Zbl 0860.65125
Monk, Peter; Zhang, Shangyou
1995
Streamfunction coordinate formulation for one-dimensional unsteady flow. Zbl 0848.76077
An, C.-F.; Barron, R. M.; Zhang, S.
1995
Optimal order multigrid methods for solving exterior boundary value problems. Zbl 0805.65113
Hsiao, George C.; Zhang, Shangyou
1994
Wilson’s element for the Reissner-Mindlin plate. Zbl 0847.73070
Zhang, Zhimin; Zhang, Shangyou
1994
Implementing and using high-order finite element methods. Zbl 0812.76042
Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou
1994
Unsteady conservative streamfunction coordinate formulation: 1-D isentropic flow. Zbl 0810.76051
Barron, R. M.; An, C-F.; Zhang, S.
1994
Stability of solutions of generalized logistic difference equations. Zbl 0819.39005
Briden, W.; Zhang, S.
1994
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
1992
Film evaporation of a spherical droplet over a hot surface: fluid mechanics and heat/mass transfer analysis. Zbl 0717.76121
Zhang, S.; Gogos, G.
1991
On the convergence of spectral multigrid methods for solving periodic problems. Zbl 0772.65078
Zhang, S.
1991
Axisymmetric potential flow calculations. II: Design mode. Zbl 0736.76005
Zhang, S.; Barron, R. M.; Rudraiah, N.
1991
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
1990
Optimal-order nonnested multigrid methods for solving finite element equations. I: On quasi-uniform meshes. Zbl 0703.65068
Zhang, Shangyou
1990
Optimal-order nonnested multigrid methods for solving finite element equations. II: On non-quasi-uniform meshes. Zbl 0725.65035
Zhang, Shangyou
1990
Axisymmetric potential flow calculations. I: Analysis mode. Zbl 0699.76037
Barron, R. M.; Zhang, S.; Chandna, A.; Rudraiah, N.
1990
An optimal order multigrid method for biharmonic, $$C^ 1$$ finite element equations. Zbl 0667.65089
Zhang, Shangyou
1989
...and 1 more Documents
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#### Cited by 1,433 Authors

 52 Zhang, Shangyou 33 Rebholz, Leo G. 22 Liu, Wing Kam 21 Hu, Jun 21 Linke, Alexander 18 Neilan, Michael 18 Praetorius, Dirk 17 Ye, Xiu 16 Carstensen, Carsten 16 Girault, Vivette 13 Guzmán, Johnny 13 Larson, Mats G. 13 Wohlmuth, Barbara I. 13 Zhang, Ran 12 Chen, Long 12 Karkulik, Michael 12 Li, Jichun 12 Melenk, Jens Markus 12 Mu, Lin 12 Wang, Junping 11 Duan, Huoyuan 11 Feischl, Michael 11 Gatica, Gabriel N. 11 Scott, Larkin Ridgway 11 Zhai, Qilong 10 Brenner, Susanne Cecelia 10 Nochetto, Ricardo Horacio 10 Salgado, Abner J. 10 Wu, Haijun 10 Xu, Jinchao 9 Führer, Thomas 9 Huang, Xuehai 9 Huang, Yunqing 9 Wang, Ruishu 9 Xie, Hehu 9 Xie, Xiaoping 9 Xu, Yifeng 9 Yan, Ningning 9 Zhang, Shuo 9 Zhang, Zhimin 8 Burman, Erik 8 Hansbo, Peter 8 Merdon, Christian 8 Oden, John Tinsley 8 Shi, Zhongci 8 Veeser, Andreas 8 Wang, Chunmei 8 Xu, Xuejun 8 Zou, Jun 7 Chang, Yanxun 7 Chen, Shaochun 7 Hiptmair, Ralf 7 Ku, Jaeun 7 Lamichhane, Bishnu Prasad 7 Mao, Shipeng 7 Nicaise, Serge 7 Otárola, Enrique 7 Peterseim, Daniel 7 Prudhomme, Serge 7 Rubino, Samuele 7 Sinha, Rajen Kumar 7 Tan, Roger C. E. 7 Vernerey, Franck J. 7 Wilson, Nicholas E. 7 Zhou, Junling 6 Ainsworth, Mark 6 Chen, Jinru 6 Gedicke, Joscha 6 Guillén González, Francisco M. 6 Karpov, Eduard G. 6 Korotov, Sergey 6 Liu, Steve Wenbin 6 Park, Harold S. 6 Sayas, Francisco-Javier 6 Stevenson, Rob P. 6 To, Albert C. 6 Tobiska, Lutz 6 Wang, Xiaoshen 6 Wu, Shuonan 6 Zheng, Weiying 6 Zhu, Peng 5 Apel, Thomas 5 Badia, Santiago 5 Bi, Chunjia 5 Chacón Rebollo, Tomás 5 Demlow, Alan 5 Dhia, Hachmi Ben 5 Durán, Ricardo G. 5 Gallistl, Dietmar 5 Georgoulis, Emmanuil H. 5 Graham, Ivan G. 5 John, Volker 5 Kang, Qingde 5 Kreuzer, Christian 5 Křížek, Michal 5 Liu, Jiangguo 5 Lube, Gert 5 Luo, Zhongxuan 5 Meng, Zhaoliang 5 Olshanskii, Maxim A. ...and 1,333 more Authors
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#### Cited in 157 Serials

 87 Computer Methods in Applied Mechanics and Engineering 86 Numerische Mathematik 84 Mathematics of Computation 76 Journal of Computational and Applied Mathematics 74 Journal of Scientific Computing 53 Computers & Mathematics with Applications 50 SIAM Journal on Numerical Analysis 41 Applied Numerical Mathematics 29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 24 Applied Mathematics and Computation 24 International Journal for Numerical Methods in Engineering 23 SIAM Journal on Scientific Computing 22 Journal of Computational Physics 19 Numerical Methods for Partial Differential Equations 17 Calcolo 17 Computational Mechanics 15 Advances in Computational Mathematics 14 Journal of Numerical Mathematics 13 Computational Methods in Applied Mathematics 13 Science China. Mathematics 12 Discrete Mathematics 9 Journal of Mathematical Analysis and Applications 9 BIT 8 Numerical Functional Analysis and Optimization 8 Applied Mathematics Letters 8 Mathematical Problems in Engineering 7 Applied Mathematical Modelling 7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 6 International Journal of Heat and Mass Transfer 6 Journal of the Mechanics and Physics of Solids 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Foundations of Computational Mathematics 5 Designs, Codes and Cryptography 5 Numerical Algorithms 5 Engineering Analysis with Boundary Elements 5 Discrete and Continuous Dynamical Systems. Series B 5 International Journal of Computational Methods 5 Frontiers of Mathematics in China 4 Mathematical Methods in the Applied Sciences 4 Computing 4 SIAM Journal on Computing 4 Applications of Mathematics 4 Computational Geosciences 4 SMAI Journal of Computational Mathematics 4 Electronic Research Archive 3 International Journal for Numerical Methods in Fluids 3 International Journal of Plasticity 3 Journal of Mathematical Physics 3 Applied Mathematics and Mechanics. (English Edition) 3 Science in China. Series A 3 International Journal of Computer Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Computational and Applied Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Archives of Computational Methods in Engineering 3 Multiscale Modeling & Simulation 3 Quantum Information Processing 3 Boundary Value Problems 2 Acta Mechanica 2 Applicable Analysis 2 Inverse Problems 2 Journal of Engineering Mathematics 2 Results in Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Acta Mathematicae Applicatae Sinica. English Series 2 Constructive Approximation 2 Journal of Global Optimization 2 Computational Mathematics and Mathematical Physics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Archive of Applied Mechanics 2 Computational Complexity 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 Lobachevskii Journal of Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 S$$\vec{\text{e}}$$MA Journal 2 Journal of Applied Analysis and Computation 2 East Asian Journal on Applied Mathematics 2 Communications on Applied Mathematics and Computation 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Solids and Structures 1 Mathematical Biosciences 1 Physics Letters. A 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Geometry and Physics 1 Applied Mathematics and Optimization 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Zeitschrift für Analysis und ihre Anwendungen ...and 57 more Serials
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#### Cited in 43 Fields

 861 Numerical analysis (65-XX) 453 Partial differential equations (35-XX) 279 Fluid mechanics (76-XX) 231 Mechanics of deformable solids (74-XX) 66 Optics, electromagnetic theory (78-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 24 Approximations and expansions (41-XX) 23 Combinatorics (05-XX) 23 Statistical mechanics, structure of matter (82-XX) 20 Computer science (68-XX) 19 Quantum theory (81-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Biology and other natural sciences (92-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Operations research, mathematical programming (90-XX) 8 Integral equations (45-XX) 7 Potential theory (31-XX) 7 Ordinary differential equations (34-XX) 7 Probability theory and stochastic processes (60-XX) 6 Operator theory (47-XX) 6 Systems theory; control (93-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX)