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## Zhang, Shangyou

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 Author ID: zhang.shangyou Published as: Zhang, Shangyou; Zhang, S.; Zhang, S. Y.; Zhang, Sh.; Zhang, ShangYou
 Documents Indexed: 163 Publications since 1988
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#### 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
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#### 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
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#### Fields

 113 Numerical analysis (65-XX) 76 Partial differential equations (35-XX) 45 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Potential theory (31-XX) 4 Combinatorics (05-XX) 4 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 3 Biology and other natural sciences (92-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### 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
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
Divergence-free finite elements on tetrahedral grids for $$k\geq 6$$. Zbl 1410.76204
Zhang, Shangyou
2011
Quadratic divergence-free finite elements on Powell–Sabin tetrahedral grids. Zbl 1232.65151
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 symmetric mixed finite elements for linear elasticity on tetrahedral grids. Zbl 1308.74148
Hu, Jun; Zhang, ShangYou
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
2009
A family of 3D continuously differentiable finite elements on tetrahedral grids. Zbl 1205.76164
Zhang, Shangyou
2009
Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes. Zbl 0855.65124
Zhang, Shangyou
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
2018
A new divergence-free interpolation operator with applications to the Darcy-Stokes-Brinkman equations. Zbl 1352.76071
Xu, Xuejun; Zhang, Shangyou
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
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.
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
2014
The lowest order differentiable finite element on rectangular grids. Zbl 1263.65115
Hu, Jun; Huang, Yunqing; Zhang, Shangyou
2011
On the full $$C_1$$-$$Q_k$$ finite element spaces on rectangles and cuboids. Zbl 1262.65134
Zhang, Shangyou
2010
Optimal order multigrid methods for solving exterior boundary value problems. Zbl 0805.65113
Hsiao, George C.; Zhang, Shangyou
1994
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
1992
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
The minimal conforming $$H^{k}$$ finite element spaces on $$\mathbb R^{n}$$ rectangular grids. Zbl 1307.65167
Hu, Jun; Zhang, Shangyou
2015
Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems. Zbl 0994.05032
Zhang, S.; Zhu, L.
2002
A C1-P2 finite element without nodal basis. Zbl 1145.65102
Zhang, Shangyou
2008
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
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128
Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
2019
An optimal order multigrid method for biharmonic, $$C^ 1$$ finite element equations. Zbl 0667.65089
Zhang, Shangyou
1989
Chaotic dynamic analysis of viscoelastic plates. Zbl 0984.74032
Sun, Y. X.; Zhang, S. Y.
2001
Supercloseness of the divergence-free finite element solutions on rectangular grids. Zbl 1278.65180
Huang, Yunqing; Zhang, Shangyou
2013
Analytic representation of finite quantum systems. Zbl 1064.81073
Zhang, S.; Vourdas, A.
2005
Optimal-order nonnested multigrid methods for solving finite element equations. II: On non-quasi-uniform meshes. Zbl 0725.65035
Zhang, Shangyou
1990
A stabilizer-free weak Galerkin finite element method on polytopal meshes. Zbl 1434.65285
Ye, Xiu; Zhang, Shangyou
2020
A canonical construction of $${H^m}$$-nonconforming triangular finite elements. Zbl 1399.65326
Hu, Jun; Zhang, Shangyou
2017
Nonconforming finite element methods on quadrilateral meshes. Zbl 1310.65147
Hu, Jun; Zhang, Shangyou
2013
Optimal-order nonnested multigrid methods for solving finite element equations. III: On degenerate meshes. Zbl 0824.65124
Zhang, Shangyou
1995
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
2020
On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation. Zbl 1065.65135
Zhang, Shangyou
2004
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
A meshfree method for incompressible fluid dynamics problems. Zbl 1032.76658
Tsukanov, I.; Shapiro, V.; Zhang, S.
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.
1988
A family of differentiable finite elements on simplicial grids in four space dimensions. Zbl 1374.65198
Zhang, Shangyou
2016
Large deflection of a rectangular magnetoelectroelastic thin plate. Zbl 1272.74416
Xue, C. X.; Pan, E.; Zhang, S. Y.; Chu, H. J.
2011
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
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
2007
On the optimal convergence rate of a Robin-Robin domain decomposition method. Zbl 1313.65289
Chen, Wenbin; Xu, Xuejun; Zhang, Shangyou
2014
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 P4 bubble enriched P3 divergence-free finite element on triangular grids. Zbl 1397.65298
Zhang, Shangyou
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
2018
Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs. Zbl 1451.65207
Ye, Xiu; Zhang, Shangyou; Zhu, Yunrong
2020
Graph connectivity and Wiener index. Zbl 1150.05327
Gutman, I.; Zhang, S.
2006
A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou
2011
Multigrid computation of vector potentials. Zbl 0860.65125
Monk, Peter; Zhang, Shangyou
1995
Features and partial derivatives of Bertalanffy-Richards growth model in forestry. Zbl 1047.92045
Lei, Y. C.; Zhang, S. Y.
2004
On the selective local stabilization of the mixed Q1-P0 element. Zbl 1130.65109
Qin, Jinshui; Zhang, Shangyou
2007
A superconvergence of the Morley element via postprocessing. Zbl 1278.65179
Huang, Jianguo; Huang, Xuehai; Zhang, Shangyou
2013
A new $$P_1$$ weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
2020
Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements. Zbl 1128.65100
Zhang, Shangyou
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.
2003
New mixed elements for Maxwell equations. Zbl 1447.78015
Duan, Huoyuan; Du, Zhijie; Liu, Wei; Zhang, Shangyou
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
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
Development of a $${P}_2$$ element with optimal $${L}^2$$ convergence for biharmonic equation. Zbl 1418.65181
Mu, Lin; Ye, Xiu; Zhang, Shangyou
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
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
2020
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2020
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
Unsteady conservative streamfunction coordinate formulation: 1-D isentropic flow. Zbl 0810.76051
Barron, R. M.; An, C-F.; Zhang, S.
1994
New error estimates of nonconforming mixed finite element methods for the Stokes problem. Zbl 1314.65143
Li, Mingxia; Mao, Shipeng; Zhang, Shangyou
2014
A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306
Li, Jichun; Ye, Xiu; Zhang, Shangyou
2018
Conforming and nonconforming harmonic finite elements. Zbl 1434.65275
Sorokina, Tatyana; Zhang, Shangyou
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
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
2016
$$C_0P_2-P_0$$ 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
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
Nonsingular kernel boundary integral and finite element coupling method. Zbl 1417.65210
Xu, Liwei; Zhang, Shangyou; Hsiao, George C.
2019
An iterative method based on equation decomposition for the fourth-order singular perturbation problem. Zbl 1288.65165
Han, Houde; Huang, Zhongyi; Zhang, Shangyou
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
2021
Trivariate interpolated Galerkin finite elements for the Poisson equation. Zbl 07388341
Sorokina, Tatyana; Zhang, Shangyou
2021
A Jacobi collocation method for the fractional Ginzburg-Landau differential equation. Zbl 07409024
Yang, Yin; Tao, Jianyong; Zhang, Shangyou; Sivtsev, Petr V.
2020
Stable $$Q_k-Q_{k-1}$$ mixed finite elements with discontinuous pressure. Zbl 1331.76074
Zhang, Shangyou; Mu, Mo
2016
Axisymmetric potential flow calculations. I: Analysis mode. Zbl 0699.76037
Barron, R. M.; Zhang, S.; Chandna, A.; Rudraiah, N.
1990
Phase space methods for particles on a circle. Zbl 1062.81102
Zhang, S.; Vourdas, A.
2003
A divergence-free finite element method for a type of 3D Maxwell equations. Zbl 1241.78043
Huang, Jianguo; Zhang, Shangyou
2012
Computing porosity of cancellous bone using ultrasonic waves. Zbl 1113.92033
Gilbert, Robert P.; Xu, Yongzhi; Zhang, Shangyou
2007
Axisymmetric finite element solution of non-isothermal parallel-plate flow. Zbl 1088.76028
Zhang, Shangyou; Olagunju, David O.
2005
Zeros in analytic representations of finite quantum systems on a torus. Zbl 1198.81112
Tubani, M.; Vourdas, A.; Zhang, S.
2010
Solving negative order equations by the multigrid method via variable substitution. Zbl 1307.65172
Hsiao, George C.; Xu, Liwei; Zhang, Shangyou
2014
Stability of solutions of generalized logistic difference equations. Zbl 0819.39005
Briden, W.; Zhang, S.
1994
Yang, Yuanxi; Zhang, S.
2005
Axisymmetric potential flow calculations. II: Design mode. Zbl 0736.76005
Zhang, S.; Barron, R. M.; Rudraiah, N.
1991
On the convergence of spectral multigrid methods for solving periodic problems. Zbl 0772.65078
Zhang, S.
1991
Shape optimization of turbine blades with the integration of aerodynamics and heat transfer. Zbl 0908.76079
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
2021
Trivariate interpolated Galerkin finite elements for the Poisson equation. Zbl 07388341
Sorokina, Tatyana; Zhang, Shangyou
2021
A stabilizer-free pressure-robust finite element method for the Stokes equations. Zbl 07351903
Ye, Xiu; Zhang, Shangyou
2021
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 1465.65151
Ye, Xiu; Zhang, Shangyou
2020
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
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
A new $$P_1$$ weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
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
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
2020
Approximations of two-dimensional mean field games with nonsymmetric controls. Zbl 1428.49033
Shaydurov, V.; Zhang, S.; Kornienko, V.
2020
Conforming and nonconforming harmonic finite elements. Zbl 1434.65275
Sorokina, Tatyana; Zhang, Shangyou
2020
A Jacobi collocation method for the fractional Ginzburg-Landau differential equation. Zbl 07409024
Yang, Yin; Tao, Jianyong; Zhang, Shangyou; Sivtsev, Petr V.
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
2020
The weak Galerkin finite element method for the transport-reaction equation. Zbl 1436.65193
Zhang, Tie; Zhang, Shangyou
2020
An inequality involving a triangle and an interior point and its application. Zbl 1444.51003
Sorokina, Tatyana; Zhang, Shangyou
2020
A family of 3D $$H^2$$-nonconforming tetrahedral finite elements for the biharmonic equation. Zbl 1446.65171
Hu, Jun; Tian, Shudan; Zhang, Shangyou
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
2020
Conforming harmonic finite elements on the Hsieh-Clough-Tocher split of a triangle. Zbl 1465.65146
Sorokina, Tatyana; Zhang, Shangyou
2020
The Euler-Lagrange approximation of the mean field game for the planning problem. Zbl 1466.65080
Shaydurov, V.; Kornienko, V.; Zhang, S.
2020
A weak Galerkin finite element scheme for the Cahn-Hilliard equation. Zbl 1420.65128
Wang, Junping; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
2019
New mixed elements for Maxwell equations. Zbl 1447.78015
Duan, Huoyuan; Du, Zhijie; Liu, Wei; 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
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
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
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
2019
The finite difference approximation preserving conjugate properties of the mean-field game equations. Zbl 1418.91070
Shaydurov, V.; Zhang, S.; Karepova, E.
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
Financial bubbles existence in the Cantor-Lippman model for continuous time. Zbl 1417.91480
Shananin, A. A.; Vashchenko, M. P.; Zhang, Sh.
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
$$C_0P_2-P_0$$ 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
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
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
A divergence-free finite element method for a type of 3D Maxwell equations. Zbl 1241.78043
Huang, Jianguo; Zhang, Shangyou
2012
Divergence-free finite elements on tetrahedral grids for $$k\geq 6$$. Zbl 1410.76204
Zhang, Shangyou
2011
Quadratic divergence-free finite elements on Powell–Sabin tetrahedral grids. Zbl 1232.65151
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
Axisymmetric finite element solution of non-isothermal parallel-plate flow. Zbl 1088.76028
Zhang, Shangyou; Olagunju, David O.
2005
Yang, Yuanxi; Zhang, S.
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
...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 2 Computational Mathematics and Mathematical Physics 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 ...and 9 more Serials
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#### Cited in 30 Fields

 925 Numerical analysis (65-XX) 500 Partial differential equations (35-XX) 288 Fluid mechanics (76-XX) 139 Mechanics of deformable solids (74-XX) 75 Optics, electromagnetic theory (78-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 25 Approximations and expansions (41-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Potential theory (31-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 8 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 5 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX)