Edit Profile (opens in new tab) Shi, Zhongci Compute Distance To: Compute Author ID: shi.zhongci Published as: Shi, Zhongci; Shi, Zhong-Ci; Shi, Zhong-ci; Shi, Zhong Ci; Shi, Z.-C.; Shi, Z.; Shih, Chung-tze; Shi, ZhongCi; Shi, Z. C.; Zhong-ci more...less Homepage: http://icmsec.cc.ac.cn/staff/shi.html External Links: Wikidata · dblp · IdRef Documents Indexed: 159 Publications since 1964, including 3 Books 16 Contributions as Editor Biographic References: 4 Publications Co-Authors: 73 Co-Authors with 135 Joint Publications 3,697 Co-Co-Authors all top 5 Co-Authors 31 single-authored 22 Hu, Jun 20 Ming, Pingbing 20 Xu, Xuejun 12 Mao, Shipeng 7 Chen, Shaochun 7 Huang, Jianguo 7 Zhao, Xuying 6 Xie, Zhenghui 4 Feng, Kang 4 Man, Hongying 3 Guo, Ling 3 Shi, Dongyang 3 Wang, Ming 3 Xu, Jinchao 3 Yi, Xuexi 2 Becker, Roland 2 Chen, Chuanmiao 2 Chen, Zhangxin 2 Huang, Yunqing 2 Jiang, Bin 2 Lai, Junjiang 2 Li, Hongliang 2 Li, Yishen 2 Nicaise, Serge 2 Okamoto, Hisashi 2 Pittenger, Arthur O. 2 Sheen, Dongwoo 2 Tang, Tao 2 Wang, Jiacheng 2 Wang, Lin-Cheng 2 Xu, Yifeng 2 Xu, Yun 2 Xue, Weimin 2 Yu, Dehao 2 Zhang, Fei 2 Zhang, Zhimin 1 Bai, Zhongzhi 1 Braess, Dietrich 1 Chan, Cheong-ki K. 1 Chan, Tony Fan-Cheong 1 Chen, Jinru 1 Chen, Qianyong 1 Chen, Xiaojun 1 Chen, Zhiming 1 Du, Qiang 1 Ewing, Richard Edward 1 Glowinski, Roland 1 Gottlieb, James J. 1 Hoppe, Ronald H. W. 1 Hu, Hongling 1 Hu, Qiya 1 Huang, Hongci 1 Jiang, Bin 1 Jiang, Longlong 1 Kako, Takashi 1 Kawarada, Hideo 1 Kitagawa, Takashi 1 Lu, Peipei 1 Ma, Jingtang 1 Ma, Rui 1 Mori, Masatake 1 Natori, Makoto 1 Périaux, Jacques F. 1 Peter, Malte Andreas 1 Qi, Liqun 1 Qin, Lizhen 1 Rannacher, Rolf 1 Reichel, Lothar 1 Rogers, Colin 1 Sloan, Ian Hugh 1 Ushijima, Teruo 1 Wang, Wenxu 1 Widlund, Olof B. 1 Wierman, Mark J. 1 Wu, Jingzhu 1 Xi, Zhenghui 1 Xie, Ziqing 1 Yang, Chung-Chun 1 Yang, Xueqin 1 Yu, Xijun 1 Zeng, Jinping 1 Zhang, Xu all top 5 Serials 24 Journal of Computational Mathematics 17 Mathematica Numerica Sinica 9 Numerische Mathematik 9 Science in China. Series A 7 Journal of Computational and Applied Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 Mathematics of Computation 6 SIAM Journal on Numerical Analysis 6 Chinese Journal of Numerical Mathematics and Applications 5 Science China. Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 East-West Journal of Numerical Mathematics 4 International Journal of Numerical Analysis and Modeling 2 International Journal for Numerical Methods in Engineering 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Chinese Annals of Mathematics. Series B 2 Computational Methods in Applied Mathematics 2 Contemporary Mathematics 2 Series on Applied Mathematics 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 International Journal of General Systems 1 Israel Journal of Technology 1 Acta Mathematica Sinica 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Hokkaido Mathematical Journal 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Computational Mechanics 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Annals of Physics 1 SIAM Journal on Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Journal of Hunan University. Natural Sciences 1 RIMS Kokyuroku 1 New Journal of Physics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Quantum Information Processing 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Numerical and Applied Analysis 1 Lecture Notes in Physics 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Annals of Mathematical Statistics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Scientia Sinica. Mathematica all top 5 Fields 127 Numerical analysis (65-XX) 70 Mechanics of deformable solids (74-XX) 65 Partial differential equations (35-XX) 17 General and overarching topics; collections (00-XX) 11 Fluid mechanics (76-XX) 9 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 4 Quantum theory (81-XX) 3 Computer science (68-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 1,059 times in 538 Documents Cited by ▼ Year ▼ Information entropy, rough entropy and knowledge granulation in incomplete information systems. Zbl 1115.68130Liang, J.; Shi, Z.; Li, D.; Wierman, M. J. 63 2006 A convergence condition for the quadrilateral Wilson element. Zbl 0581.65008Shi, Zhongci 63 1984 On the error estimates of Morley element. Zbl 0850.73337Shi, Zhongci 47 1990 Constrained quadrilateral nonconforming rotated \(\mathcal G_{1}\) element. Zbl 1086.65111Hu, Jun; Shi, Zhong-ci 43 2005 A new class of Zienkiewicz-type non-conforming element in any dimensions. Zbl 1118.65124Wang, Ming; Shi, Zhong-ci; Xu, Jinchao 34 2007 The F-E-M-test for convergence of nonconforming finite elements. Zbl 0648.65075Shi, Zhong-ci 33 1987 A convergent nonconforming adaptive finite element method with quasi-optimal complexity. Zbl 1208.65154Becker, Roland; Mao, Shipeng; Shi, Zhongci 31 2010 Lower order rectangular nonconforming mixed finite elements for plane elasticity. Zbl 1166.65395Hu, Jun; Shi, Zhong-Ci 31 2008 Some \(n\)-rectangle nonconforming elements for fourth order elliptic equations. Zbl 1142.65451Wang, Ming; Shi, Zhongci; Xu, Jinchao 30 2007 A new a posteriori error estimate for the Morley element. Zbl 1169.74646Hu, Jun; Shi, Zhongci 30 2009 A new superconvergence property of Wilson nonconforming finite element. Zbl 0897.65063Shi, Zhongci; Jiang, Bin; Xue, Weimin 27 1997 Convergence and optimality of the adaptive Morley element method. Zbl 1255.65212Hu, Jun; Shi, Zhongci; Xu, Jinchao 27 2012 Nonconforming rotated \(\mathcal Q_ 1\) element for Reissner-Mindlin plate. Zbl 1037.74048Ming, Pingbing; Shi, Zhongci 24 2001 A multilevel successive iteration method for nonlinear elliptic problems. Zbl 1042.65101Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin 24 2004 Lower-order rectangular nonconforming mixed finite element for the three-dimensional elasticity problem. Zbl 1156.74045Man, Hongying; Hu, Jun; Shi, Zhongci 23 2009 On the convergence of the incomplete biquadratic nonconforming plate element. Zbl 0587.73114Shi, Zhongci 22 1986 Economical cascadic multigrid method (ECMG). Zbl 1153.65046Shi, Zhong-ci; Xu, Xue-jun; Huang, Yun-qing 19 2007 A remark on the optimal order of convergence of Wilson’s nonconforming element. Zbl 0607.65071Shi, Zhongci 17 1986 On the error bounds of nonconforming finite elements. Zbl 1211.65148Mao, Shipeng; Shi, Zhongci 16 2010 Cascadic multigrid for parabolic problems. Zbl 0964.65103Shi, Zhongci; Xu, Xuejun 16 2000 Convergence of a standard adaptive nonconforming finite element method with optimal complexity. Zbl 1202.65147Mao, Shipeng; Zhao, Xuying; Shi, Zhongci 16 2010 The best \(L^2\) norm error estimate of lower order finite element methods for the fourth order problem. Zbl 1274.65292Hu, Jun; Shi, Zhongci 15 2012 A new cascadic multigrid. Zbl 1004.65135Shi, Zhongci; Xu, Xuejun 14 2001 The generalized patch test for Zienkiewicz triangles. Zbl 0564.73069Shi, Zhong-ci 14 1984 On an extrapolation cascade multigrid method. Zbl 1265.65194Chen, Chuanmiao; Shi, Zhongci; Hu, Hongling 14 2011 Cascadic multigrid method for elliptic problems. Zbl 0943.65143Shi, Z.-C.; Xu, X. 13 1999 Coterminal families and the strong Markov property. Zbl 0275.60084Pittenger, A. O.; Shih, C. T. 13 1973 Cascadic multigrid for finite volume methods for elliptic problems. Zbl 1069.65137Shi, Zhongci; Xu, Xuejun; Man, Hongying 12 2004 On spline finite element method. Zbl 0452.73062Shih, Chung-tze 12 1979 Convergence of the TRUNC plate element. Zbl 0616.73069Shi, Zhongci 12 1987 High-accuracy analysis of two nonconforming plate elements. Zbl 1155.74045Mao, Shipeng; Shi, Zhongci 12 2009 Double set parameter method of constructing stiffness matrices. Zbl 0850.73278Chen, Shaochun; Shi, Zhongci 11 1991 A new a priori error estimate of nonconforming finite element methods. Zbl 1309.65125Hu, Jun; Ma, Rui; Shi, Zhongci 11 2014 Quadrilateral mesh. Zbl 1005.65131Ming, Pingbing; Shi, Zhongci 10 2002 Superconvergence studies of quadrilateral nonconforming rotated \(Q_1\) elements. Zbl 1096.65109Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun 10 2006 An explicit analysis of Stummel’s patch test examples. Zbl 0557.65060Shi, Zhongci 10 1984 A lower bound of the \(L^2\) norm error estimate for the Adini element of the biharmonic equation. Zbl 1402.65160Hu, Jun; Shi, Zhongci 10 2013 Two nonconforming quadrilateral elements for the Reissner-Mindlin plate. Zbl 1096.74050Ming, Pingbing; Shi, Zhongci 9 2005 On the accuracy of the quasi-conforming and generalized conforming finite elements. Zbl 0736.73065Shi, Zhongci 9 1990 Plate elements with high accuracy. Zbl 1010.74594Shi, Zhong-Ci; Chen, Shao-Chun; Huang, Hong-Ci 8 1997 Quadrilateral mesh revisited. Zbl 1035.65147Ming, Pingbing; Shi, Zhong Ci 8 2002 Nonconforming quadrilateral rotated \(Q_1\) element for Reissner-Mindlin plate. Zbl 1038.74044Hu, Jun; Ming, Pingbing; Shi, Zhongci 8 2003 Convergence analysis of Bergan’s energy-orthogonal plate element. Zbl 0814.73066Shi, Zhongci; Chen, Shaochun; Zhang, Fei 8 1994 Mathematical theory of some non-standard finite element methods. Zbl 0811.65093Shi, Zhongci; Wang, Ming 8 1994 Some studies on mathematical models for general elastic multi-structures. Zbl 1093.74044Huang, Jianguo; Shi, Zhongci; Xu, Yifeng 8 2005 Finite element analysis for general elastic multi-structures. Zbl 1102.74041Huang, Jianguo; Shi, Zhongci; Xu, Yifeng 8 2006 Two lower-order nonconforming rectangular elements for the Reissner-Mindlin plate. Zbl 1118.74050Hu, Jun; Shi, Zhongci 8 2007 Vibration analysis of Kirchhoff plates by the Morley element method. Zbl 1129.74046Huang, Jianguo; Guo, Ling; Shi, Zhongci 8 2008 Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers. Zbl 1083.65112Hu, Qiya; Shi, Zhongci; Yu, Dehao 7 2004 Analysis for quadrilateral MITC elements for the Reissner-Mindlin plate problem. Zbl 1223.74027Hu, Jun; Shi, Zhong-Ci 7 2009 A convergent adaptive finite element method with optimal complexity. Zbl 1171.65073Becker, Roland; Mao, Shipeng; Shi, Zhong-Ci 7 2008 Explicit error estimates for mixed and nonconforming finite elements. Zbl 1212.65424Mao, Shipeng; Shi, Zhongci 7 2009 On extending potential theory to all strong Markov processes. Zbl 0193.46201Shih, C. T. 6 1970 Cascadic multigrid method for a plate bending problem. Zbl 0916.73062Shi, Zhongci; Xu, Xuejun 6 1998 Cascadic multigrid method for the second order elliptic problem. Zbl 0919.65072Shi, Z.-C.; Xu, X. 6 1998 Adaptive finite element methods on quadrilateral meshes without hanging nodes. Zbl 1216.65165Zhao, Xuying; Mao, Shipeng; Shi, Zhongci 6 2010 Analysis of some low-order quadrilateral Reissner-Mindlin plate elements. Zbl 1088.74045Ming, Pingbing; Shi, Zhongci 6 2006 Convergence properties of two nonconforming finite elements. Zbl 0543.65073Shi, Zhongci 6 1985 On the convergence rate of the boundary penalty method. Zbl 0547.65071Shi, Zhong-Ci 6 1984 On the convergence properties of the quadrilateral elements of Sander and Beckers. Zbl 0557.65072Shi, Zhongci 6 1984 Error estimates of triangular finite elements under a weak angle condition. Zbl 1168.65063Mao, Shipeng; Shi, Zhongci 6 2009 Convergence of a nine parameter generalized conforming element. Zbl 0850.73277Shi, Zhongci; Chen, Shaochun 5 1991 Nonconforming finite element methods. Zbl 1013.65121Shi, Zhongci 5 2002 Convergence analysis for quadrilateral rotated \(Q_1\) elements. Zbl 1019.65082Ming, Pingbing; Shi, Zhongci 5 2001 A multigrid method for Bergan’s energy-orthogonal plate element. Zbl 0835.73083Shi, Zhongci; Yu, Xijun; Xie, Zhenghui 5 1995 Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate. Zbl 1169.74609Hu, Jun; Shi, Zhong-Ci 5 2008 \(P_1\)-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for elliptic problems. Zbl 1102.65116Man, Hongying; Shi, Zhongci 5 2006 Mathematical theory of elastic structures. Zbl 0599.73052Feng, Kang; Shi, Zhong Ci 5 1981 Optimal \(\mathcal{L}^2\) error bounds for MITC3 type element. Zbl 1003.65123Ming, Pingbing; Shi, Zhong-ci 4 2002 An efficient rectangular plate element. Zbl 1008.74078Shi, Zhongci; Chen, Qianyong 4 2001 Mathematical analysis for quadrilateral rotated \(\mathcal Q_1\) element. III: The effect of numerical integration. Zbl 1042.65095Ming, Pingbing; Shi, Zhongci 4 2003 Adaptive quadrilateral and hexahedral finite element methods with hanging nodes and convergence analysis. Zbl 1240.65337Zhao, Xuying; Mao, Shipeng; Shi, Zhongci 4 2010 Two robust nonconforming \(H^2\)-elements for linear strain gradient elasticity. Zbl 1457.65206Li, Hongliang; Ming, Pingbing; Shi, Zhong-ci 4 2017 On the convergence rate of a parallel nonoverlapping domain decomposition method. Zbl 1173.35041Qin, LiZhen; Shi, ZhongCi; Xu, XueJun 4 2008 On the interpolation error estimates for \(Q_1\) quadrilateral finite elements. Zbl 1187.65123Mao, Shipeng; Nicaise, Serge; Shi, Zhong-Ci 4 2009 Coterminal families and the strong Markov property. Zbl 0239.60070Pittenger, A. O.; Shih, C. T. 4 1972 Error estimates of Morley triangular element satisfying the maximal angle condition. Zbl 1407.74089Mao, Shipeng; Nicaise, Serge; Shi, Zhong-Ci 4 2010 A lumped mass finite element method for vibration analysis of elastic plate-plate structures. Zbl 1214.74014Lai, Junjiang; Huang, Jianguo; Shi, Zhongci 4 2010 Vibration analysis for elastic multi-beam structures by the \(C^0\)-continuous time-stepping finite element method. Zbl 1310.74045Lai, Junjiang; Huang, Jianguo; Shi, Zhongci 4 2010 An analysis of a nine parameter plate element of Specht. Zbl 0724.73240Shi, Zhongci; Chen, Shaochun 3 1989 On the free formation of constructing stiffness matrices. Zbl 0850.73279Chen, Shaochun; Shi, Zhongci 3 1991 A direct analysis of the 9-parameter quasi-conforming plate element. Zbl 0850.73334Shi, Zhongci; Chen, Shaochun 3 1990 Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate. Zbl 1218.74016Hu, Jun; Shi, Zhongci 3 2008 A V-cycle multigrid method for TRUNC plate element. Zbl 0963.74065Shi, Zhongci; Xu, Xuejun 3 2000 A note on the quadrilateral mesh condition \(RDP(N,\psi)\). Zbl 1142.65430Shi, Dongyang; Shi, Zhongci; Wu, Jingzhu 3 2007 Convergence analysis of the adaptive finite element method with the red-green refinement. Zbl 1189.65276Zhao, Xuying; Hu, Jun; Shi, Zhongci 3 2010 Construction of Markov processes from hitting distributions. Zbl 0204.50704Shih, C. T. 3 1971 Construction of Markov processes from hitting distributions. Zbl 0195.47703Shih, C. T. 2 1971 A V-cycle multigrid for quadrilateral rotated \(Q_1\) element with numerical integration. Zbl 1036.65110Shi, Zhongci; Xu, Xuejun 2 2003 On the 9-parameter quasi-conforming plate element. Zbl 0705.73240Shi, Zhongci 2 1988 Mathematical theory of elastic structures. Rev. ed. of the orig. Chinese ed. 1981. Zbl 0871.73001Feng, Kang; Shi, Zhong-Ci 2 1996 A new superconvergence property of nonconforming rotated \(Q_1\) element in 3D. Zbl 1185.65202Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun 2 2007 Shear locking in a plane elasticity problem and the enhanced assumed strain method. Zbl 1252.74004Braess, Dietrich; Ming, Pingbing; Shi, Zhong-Ci 2 2010 Remarks on error estimates for the TRUNC plate element. Zbl 1331.74165Guo, Ling; Huang, Jianguo; Shi, Zhongci 2 2006 \(V\)-cycle multigrid methods for Wilson nonconforming element. Zbl 0969.65110Shi, Zhongci; Xu, Xuejun 2 2000 Dual combined finite element methods for non-Newtonian flow. II: Parameter-dependent problem. Zbl 1072.76567Ming, Pingbing; Shi, Zhong-Ci 2 2000 Preparing entangled states by Lyapunov control. Zbl 1357.81035Shi, Z. C.; Wang, L. C.; Yi, X. X. 2 2016 Nonconforming rotated \(Q_1\) element on non-tensor product anisotropic meshes. Zbl 1112.65121Mao, Shipeng; Shi, Zhongci 2 2006 A unified formation of shape functions for two kinds of nonconforming plate bending elements. Zbl 0622.73086Shi, Zhongci 2 1986 On the convergence of Weissman-Taylor element for Reissner-Mindlin plate. Zbl 1221.74072Hu, Jun; Shi, Zhong-Ci 1 2004 The quadratic Specht triangle. Zbl 1463.65375Li, Hongliang; Ming, Pingbing; Shi, Zhongci 1 2020 Two robust nonconforming \(H^2\)-elements for linear strain gradient elasticity. Zbl 1457.65206Li, Hongliang; Ming, Pingbing; Shi, Zhong-ci 4 2017 Preparing entangled states by Lyapunov control. Zbl 1357.81035Shi, Z. C.; Wang, L. C.; Yi, X. X. 2 2016 Superconvergence of three dimensional Morley elements on cuboid meshes for biharmonic equations. Zbl 1356.65233Hu, Jun; Shi, Zhongci; Yang, Xueqin 1 2016 Constrained nonconforming rotated \(Q_1\) element methods of the Reissner-Mindlin plate problem. Zbl 1389.74028Hu, Jun; Shi, Zhongci 1 2016 Entangled states of two quantum dots mediated by Majorana fermions. Zbl 1456.81121Shi, Z. C.; Wang, W.; Yi, X. X. 1 2016 A new a priori error estimate of nonconforming finite element methods. Zbl 1309.65125Hu, Jun; Ma, Rui; Shi, Zhongci 11 2014 Constraint-free adaptive FEMs on quadrilateral nonconforming meshes. Zbl 1310.65150Zhao, Xuying; Shi, Zhong-Ci; Du, Qiang 1 2014 A lower bound of the \(L^2\) norm error estimate for the Adini element of the biharmonic equation. Zbl 1402.65160Hu, Jun; Shi, Zhongci 10 2013 Convergence and optimality of the adaptive Morley element method. Zbl 1255.65212Hu, Jun; Shi, Zhongci; Xu, Jinchao 27 2012 The best \(L^2\) norm error estimate of lower order finite element methods for the fourth order problem. Zbl 1274.65292Hu, Jun; Shi, Zhongci 15 2012 On an extrapolation cascade multigrid method. Zbl 1265.65194Chen, Chuanmiao; Shi, Zhongci; Hu, Hongling 14 2011 A convergent nonconforming adaptive finite element method with quasi-optimal complexity. Zbl 1208.65154Becker, Roland; Mao, Shipeng; Shi, Zhongci 31 2010 On the error bounds of nonconforming finite elements. Zbl 1211.65148Mao, Shipeng; Shi, Zhongci 16 2010 Convergence of a standard adaptive nonconforming finite element method with optimal complexity. Zbl 1202.65147Mao, Shipeng; Zhao, Xuying; Shi, Zhongci 16 2010 Adaptive finite element methods on quadrilateral meshes without hanging nodes. Zbl 1216.65165Zhao, Xuying; Mao, Shipeng; Shi, Zhongci 6 2010 Adaptive quadrilateral and hexahedral finite element methods with hanging nodes and convergence analysis. Zbl 1240.65337Zhao, Xuying; Mao, Shipeng; Shi, Zhongci 4 2010 Error estimates of Morley triangular element satisfying the maximal angle condition. Zbl 1407.74089Mao, Shipeng; Nicaise, Serge; Shi, Zhong-Ci 4 2010 A lumped mass finite element method for vibration analysis of elastic plate-plate structures. Zbl 1214.74014Lai, Junjiang; Huang, Jianguo; Shi, Zhongci 4 2010 Vibration analysis for elastic multi-beam structures by the \(C^0\)-continuous time-stepping finite element method. Zbl 1310.74045Lai, Junjiang; Huang, Jianguo; Shi, Zhongci 4 2010 Convergence analysis of the adaptive finite element method with the red-green refinement. Zbl 1189.65276Zhao, Xuying; Hu, Jun; Shi, Zhongci 3 2010 Shear locking in a plane elasticity problem and the enhanced assumed strain method. Zbl 1252.74004Braess, Dietrich; Ming, Pingbing; Shi, Zhong-Ci 2 2010 A new a posteriori error estimate for the Morley element. Zbl 1169.74646Hu, Jun; Shi, Zhongci 30 2009 Lower-order rectangular nonconforming mixed finite element for the three-dimensional elasticity problem. Zbl 1156.74045Man, Hongying; Hu, Jun; Shi, Zhongci 23 2009 High-accuracy analysis of two nonconforming plate elements. Zbl 1155.74045Mao, Shipeng; Shi, Zhongci 12 2009 Analysis for quadrilateral MITC elements for the Reissner-Mindlin plate problem. Zbl 1223.74027Hu, Jun; Shi, Zhong-Ci 7 2009 Explicit error estimates for mixed and nonconforming finite elements. Zbl 1212.65424Mao, Shipeng; Shi, Zhongci 7 2009 Error estimates of triangular finite elements under a weak angle condition. Zbl 1168.65063Mao, Shipeng; Shi, Zhongci 6 2009 On the interpolation error estimates for \(Q_1\) quadrilateral finite elements. Zbl 1187.65123Mao, Shipeng; Nicaise, Serge; Shi, Zhong-Ci 4 2009 Analysis of nonconforming rotated \(\mathcal{Q}_i\) element for the Reissner-Mindlin plate problem. Zbl 1423.74545Hu, Jun; Shi, Zhongci 1 2009 Lower order rectangular nonconforming mixed finite elements for plane elasticity. Zbl 1166.65395Hu, Jun; Shi, Zhong-Ci 31 2008 Vibration analysis of Kirchhoff plates by the Morley element method. Zbl 1129.74046Huang, Jianguo; Guo, Ling; Shi, Zhongci 8 2008 A convergent adaptive finite element method with optimal complexity. Zbl 1171.65073Becker, Roland; Mao, Shipeng; Shi, Zhong-Ci 7 2008 Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate. Zbl 1169.74609Hu, Jun; Shi, Zhong-Ci 5 2008 On the convergence rate of a parallel nonoverlapping domain decomposition method. Zbl 1173.35041Qin, LiZhen; Shi, ZhongCi; Xu, XueJun 4 2008 Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate. Zbl 1218.74016Hu, Jun; Shi, Zhongci 3 2008 The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes. Zbl 1141.74042Shi, Zhongci; Xu, Xuejun; Zhang, Zhimin 1 2008 A new class of Zienkiewicz-type non-conforming element in any dimensions. Zbl 1118.65124Wang, Ming; Shi, Zhong-ci; Xu, Jinchao 34 2007 Some \(n\)-rectangle nonconforming elements for fourth order elliptic equations. Zbl 1142.65451Wang, Ming; Shi, Zhongci; Xu, Jinchao 30 2007 Economical cascadic multigrid method (ECMG). Zbl 1153.65046Shi, Zhong-ci; Xu, Xue-jun; Huang, Yun-qing 19 2007 Two lower-order nonconforming rectangular elements for the Reissner-Mindlin plate. Zbl 1118.74050Hu, Jun; Shi, Zhongci 8 2007 A note on the quadrilateral mesh condition \(RDP(N,\psi)\). Zbl 1142.65430Shi, Dongyang; Shi, Zhongci; Wu, Jingzhu 3 2007 A new superconvergence property of nonconforming rotated \(Q_1\) element in 3D. Zbl 1185.65202Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun 2 2007 A finite element method for investigating general elastic multi-structures. Zbl 1121.74057Huang, Jianguo; Guo, Ling; Shi, Zhongci 1 2007 Information entropy, rough entropy and knowledge granulation in incomplete information systems. Zbl 1115.68130Liang, J.; Shi, Z.; Li, D.; Wierman, M. J. 63 2006 Superconvergence studies of quadrilateral nonconforming rotated \(Q_1\) elements. Zbl 1096.65109Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun 10 2006 Finite element analysis for general elastic multi-structures. Zbl 1102.74041Huang, Jianguo; Shi, Zhongci; Xu, Yifeng 8 2006 Analysis of some low-order quadrilateral Reissner-Mindlin plate elements. Zbl 1088.74045Ming, Pingbing; Shi, Zhongci 6 2006 \(P_1\)-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for elliptic problems. Zbl 1102.65116Man, Hongying; Shi, Zhongci 5 2006 Remarks on error estimates for the TRUNC plate element. Zbl 1331.74165Guo, Ling; Huang, Jianguo; Shi, Zhongci 2 2006 Nonconforming rotated \(Q_1\) element on non-tensor product anisotropic meshes. Zbl 1112.65121Mao, Shipeng; Shi, Zhongci 2 2006 Constrained quadrilateral nonconforming rotated \(\mathcal G_{1}\) element. Zbl 1086.65111Hu, Jun; Shi, Zhong-ci 43 2005 Two nonconforming quadrilateral elements for the Reissner-Mindlin plate. Zbl 1096.74050Ming, Pingbing; Shi, Zhongci 9 2005 Some studies on mathematical models for general elastic multi-structures. Zbl 1093.74044Huang, Jianguo; Shi, Zhongci; Xu, Yifeng 8 2005 The mortar element method for a nonlinear biharmonic equation. Zbl 1095.65105Shi, Zhongci; Xu, Xuejun 1 2005 A multilevel successive iteration method for nonlinear elliptic problems. Zbl 1042.65101Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin 24 2004 Cascadic multigrid for finite volume methods for elliptic problems. Zbl 1069.65137Shi, Zhongci; Xu, Xuejun; Man, Hongying 12 2004 Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers. Zbl 1083.65112Hu, Qiya; Shi, Zhongci; Yu, Dehao 7 2004 On the convergence of Weissman-Taylor element for Reissner-Mindlin plate. Zbl 1221.74072Hu, Jun; Shi, Zhong-Ci 1 2004 Nonconforming quadrilateral rotated \(Q_1\) element for Reissner-Mindlin plate. Zbl 1038.74044Hu, Jun; Ming, Pingbing; Shi, Zhongci 8 2003 Mathematical analysis for quadrilateral rotated \(\mathcal Q_1\) element. III: The effect of numerical integration. Zbl 1042.65095Ming, Pingbing; Shi, Zhongci 4 2003 A V-cycle multigrid for quadrilateral rotated \(Q_1\) element with numerical integration. Zbl 1036.65110Shi, Zhongci; Xu, Xuejun 2 2003 Mathematical analysis for quadrilateral rotated \(\mathcal Q_1\) element. II: Poincaré inequality and trace inequality. Zbl 1042.65094Ming, Pingbing; Shi, Zhongci 1 2003 Some low-order quadrilateral Reissner-Mindlin plate elements. Zbl 1175.74084Ming, Pingbing; Shi, Zhongci 1 2003 Quadrilateral mesh. Zbl 1005.65131Ming, Pingbing; Shi, Zhongci 10 2002 Quadrilateral mesh revisited. Zbl 1035.65147Ming, Pingbing; Shi, Zhong Ci 8 2002 Nonconforming finite element methods. Zbl 1013.65121Shi, Zhongci 5 2002 Optimal \(\mathcal{L}^2\) error bounds for MITC3 type element. Zbl 1003.65123Ming, Pingbing; Shi, Zhong-ci 4 2002 Multigrid for the mortar-type nonconforming element method for nonsymmetric and indefinite problems. Zbl 1026.65101Shi, Zhong-Ci; Xu, Xuejun; Chen, Jinru 1 2002 Nonconforming rotated \(\mathcal Q_ 1\) element for Reissner-Mindlin plate. Zbl 1037.74048Ming, Pingbing; Shi, Zhongci 24 2001 A new cascadic multigrid. Zbl 1004.65135Shi, Zhongci; Xu, Xuejun 14 2001 Convergence analysis for quadrilateral rotated \(Q_1\) elements. Zbl 1019.65082Ming, Pingbing; Shi, Zhongci 5 2001 An efficient rectangular plate element. Zbl 1008.74078Shi, Zhongci; Chen, Qianyong 4 2001 Multigrid for the Wilson mortar element method. Zbl 0982.65121Shi, Zhongci; Xu, Xuejun 1 2001 Cascadic multigrid for parabolic problems. Zbl 0964.65103Shi, Zhongci; Xu, Xuejun 16 2000 A V-cycle multigrid method for TRUNC plate element. Zbl 0963.74065Shi, Zhongci; Xu, Xuejun 3 2000 \(V\)-cycle multigrid methods for Wilson nonconforming element. Zbl 0969.65110Shi, Zhongci; Xu, Xuejun 2 2000 Dual combined finite element methods for non-Newtonian flow. II: Parameter-dependent problem. Zbl 1072.76567Ming, Pingbing; Shi, Zhong-Ci 2 2000 Numerical treatment of multiphase flows in porous media. Proceedings of the international workshop, Beijing, China, August 2–6, 1999. Zbl 0986.00070 1 2000 Convergence analysis of a class of nonconforming finite elements. Zbl 0949.65111Shi, Zhongci; Wang, Jiacheng 1 2000 Stable conforming and nonconforming finite element methods for the non-Newtonian flow. Zbl 1072.76568Ming, Pingbing; Shi, Zhong-Ci 1 2000 Cascadic multigrid method for elliptic problems. Zbl 0943.65143Shi, Z.-C.; Xu, X. 13 1999 Cascadic multigrid for elliptic problems. Zbl 0953.65091Shi, Zhong-Ci; Xu, Xuejun 1 1999 Cascadic multigrid method for a plate bending problem. Zbl 0916.73062Shi, Zhongci; Xu, Xuejun 6 1998 Cascadic multigrid method for the second order elliptic problem. Zbl 0919.65072Shi, Z.-C.; Xu, X. 6 1998 Intergrid transfer operators for biharmonic problems using nonconforming plate elements on non-nested meshes. Zbl 0940.74069Shi, Zhongci; Xie, Zhenghui 1 1998 Substructure preconditioners for nonconforming plate elements. Zbl 0928.74104Shi, Zhongci; Xie, Zhenghui 1 1998 Multigrid method for Wilson nonconforming finite element with numerical integration. Zbl 0930.65133Shi, Zhong-Ci; Jiang, Bin 1 1998 A new superconvergence property of Wilson nonconforming finite element. Zbl 0897.65063Shi, Zhongci; Jiang, Bin; Xue, Weimin 27 1997 Plate elements with high accuracy. Zbl 1010.74594Shi, Zhong-Ci; Chen, Shao-Chun; Huang, Hong-Ci 8 1997 Domain decomposition methods in sciences and engineering. Proceedings of the 8th international conference, Beijing, China, May 16–20, 1995. Zbl 1024.65001 1 1997 Multigrid methods for Wilson nonconforming finite element with numerical integration. Zbl 0928.65151Shi, Zhongci; Jiang, Bin 1 1997 Mathematical theory of elastic structures. Rev. ed. of the orig. Chinese ed. 1981. Zbl 0871.73001Feng, Kang; Shi, Zhong-Ci 2 1996 A multigrid method for Bergan’s energy-orthogonal plate element. Zbl 0835.73083Shi, Zhongci; Yu, Xijun; Xie, Zhenghui 5 1995 Convergence analysis of Bergan’s energy-orthogonal plate element. Zbl 0814.73066Shi, Zhongci; Chen, Shaochun; Zhang, Fei 8 1994 Mathematical theory of some non-standard finite element methods. Zbl 0811.65093Shi, Zhongci; Wang, Ming 8 1994 Computational mathematics in China. Zbl 0793.00023 1 1994 Construction of Markov processes from hitting distributions without quasi-left-continuity. Zbl 0771.60054Shih, C. T. 1 1992 Double set parameter method of constructing stiffness matrices. Zbl 0850.73278Chen, Shaochun; Shi, Zhongci 11 1991 Convergence of a nine parameter generalized conforming element. Zbl 0850.73277Shi, Zhongci; Chen, Shaochun 5 1991 ...and 30 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 580 Authors 48 Shi, Dongyang 42 Shi, Zhongci 36 Hu, Jun 19 Chen, Shaochun 19 Huang, Jianguo 18 Carstensen, Carsten 16 Xu, Xuejun 16 Yang, Yidu 15 Mao, Shipeng 15 Xie, Xiaoping 15 Zhang, Shangyou 15 Zhang, Shuo 12 Huang, Yunqing 11 Bi, Hai 11 Meng, Zhaoliang 11 Ming, Pingbing 11 Pan, Kejia 11 Xu, Jinchao 10 Huang, Xuehai 10 Luo, Zhongxuan 8 Brenner, Susanne Cecelia 8 Hu, Hongling 8 Ma, Rui 7 Nataraj, Neela 7 Zhao, Yanmin 6 Chen, Chuanmiao 6 Chen, Jinru 6 Guan, Hongbo 6 Li, Minghao 6 Pei, Lifang 6 Sheen, Dongwoo 6 Tang, Qili 6 Zhang, Zhimin 6 Zhao, Jikun 6 Zhou, Tianxiao 5 Chen, Yanping 5 Gallistl, Dietmar 5 Li, Hao 5 Li, Mingxia 5 Neilan, Michael 5 Song, Shicang 5 Wang, Lieheng 5 Xu, Chao 5 Zhao, Xuying 4 Boffi, Daniele 4 Cen, Song 4 Chen, Long 4 Cui, Jintao 4 Duan, Huoyuan 4 Feischl, Michael 4 Guan, Xiaofei 4 Guo, Ling 4 Han, Jiayu 4 Han, Weimin 4 He, Dongdong 4 Korotov, Sergey 4 Lai, Junjiang 4 Li, Chenliang 4 Li, Likang 4 Li, Ming 4 Li, Xiaolin 4 Ma, Limin 4 Praetorius, Dirk 4 Shen, Quan 4 Wang, Fenling 4 Wang, Ming 4 Yang, Huaijun 4 Yang, Xueqin 4 Yu, Guozhu 4 Zhang, Bei 4 Zhou, Xinchen 3 Achchab, Boujemaa 3 An, Jing 3 Awanou, Gerard Michel 3 Becker, Roland 3 Fan, Xin 3 Guessab, Allal 3 Guo, Liming 3 Hu, Qiya 3 Huang, Qiumei 3 Li, Rui 3 Li, Yonghai 3 Li, Youai 3 Li, Zhenzhen 3 Lin, Qun 3 Liu, Qian 3 Liu, Wei 3 Lu, Linzhang 3 Man, Hongying 3 Meng, XiangYun 3 Pani, Amiya Kumar 3 Qiao, Zhonghua 3 Ren, Jincheng 3 Shi, Xiangyu 3 Shu, Shi 3 Stenberg, Rolf 3 Tian, Shudan 3 Wu, Shuonan 3 Wu, Yongke 3 Xie, Pingli ...and 480 more Authors all top 5 Cited in 91 Serials 39 Journal of Scientific Computing 38 Numerische Mathematik 35 Mathematics of Computation 31 Computers & Mathematics with Applications 31 Journal of Computational and Applied Mathematics 29 Computer Methods in Applied Mechanics and Engineering 29 Applied Mathematics and Computation 24 Science China. Mathematics 20 Applied Numerical Mathematics 13 Numerical Methods for Partial Differential Equations 13 Advances in Computational Mathematics 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Advances in Applied Mathematics and Mechanics 12 Science in China. Series A 11 Computational Methods in Applied Mathematics 10 Applied Mathematics and Mechanics. (English Edition) 9 Applied Mathematics Letters 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 SIAM Journal on Numerical Analysis 7 Acta Mathematicae Applicatae Sinica. English Series 7 Numerical Algorithms 6 Journal of Computational Physics 5 International Journal for Numerical Methods in Engineering 5 International Journal of Computer Mathematics 5 SIAM Journal on Scientific Computing 5 Mathematical Problems in Engineering 4 Journal of Mathematical Analysis and Applications 4 BIT 4 Applied Mathematical Modelling 4 Communications in Numerical Methods in Engineering 4 Discrete and Continuous Dynamical Systems. Series B 3 Calcolo 3 Computing 3 Computational and Applied Mathematics 3 Journal of Inequalities and Applications 3 Journal of Applied Mathematics and Computing 2 Mathematical Methods in the Applied Sciences 2 Nonlinear Analysis. Theory, Methods & Applications. 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Series B 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 1 Applied Mathematics. Series B (English Edition) 1 International Applied Mechanics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Russian Physics Journal 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Numerical Mathematics 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 The Australian Journal of Mathematical Analysis and Applications 1 Oberwolfach Reports 1 Science in China. Series G 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Technological Sciences 1 International Journal for Numerical Methods in Biomedical Engineering 1 S\(\vec{\text{e}}\)MA Journal 1 ISRN Applied Mathematics 1 ISRN Computational Mathematics 1 East Asian Journal on Applied Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Results in Applied Mathematics all top 5 Cited in 25 Fields 484 Numerical analysis (65-XX) 219 Partial differential equations (35-XX) 173 Mechanics of deformable solids (74-XX) 51 Fluid mechanics (76-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 9 Potential theory (31-XX) 8 Approximations and expansions (41-XX) 5 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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