## Chen, Shaochun

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 Author ID: chen.shaochun Published as: Chen, Shaochun; Chen, Shao-Chun; Chen, Shao-chun; Chen, ShaoChun; Chen, S. more...less External Links: ResearchGate · dblp
 Documents Indexed: 194 Publications since 1982 Co-Authors: 69 Co-Authors with 176 Joint Publications 1,533 Co-Co-Authors
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### Co-Authors

 5 single-authored 42 Shi, Dongyang 24 Mao, Shipeng 22 Zhao, Jikun 14 Xiao, Liuchao 13 Zhang, Bei 9 Sun, Huixia 9 Yang, Yongqin 7 Chen, Hongru 7 Liu, Mingfang 7 Shi, Zhongci 7 Zhu, Guoqing 6 Li, Qingshan 6 Song, Shicang 5 Qiao, Zhonghua 5 Zhao, Zhongjian 4 Guan, Xiaofei 4 Ren, Guobiao 4 Sun, YanPing 4 Wu, Duangong 3 Cao, Jiwei 3 Dong, Lina 3 Hagiwara, Ichiro 3 Li, Mingxia 3 Si, Hongying 3 Wang, Peizhen 3 Wei, Baojun 3 Yin, Li 3 Zhao, Yongcheng 2 Li, Meng 2 Liu, Chong 2 Qi, Tieshan 2 Qu, Shuanghong 2 Zhang, Buying 2 Zheng, Yanjun 2 Zhu, Liyong 1 Akhmediev, Nail N. 1 Cheemaa, Nadia 1 Chen, Baofeng 1 Feng, Miluo 1 Fu, James C. 1 Hao, Tingting 1 Hu, Leyao 1 Huang, Chengming 1 Huang, Hongci 1 Jiang, Liying 1 Jiang, Yongyan 1 Klioutchnikov, Igor 1 Li, Minghao 1 Li, Shuai 1 Li, Zhen 1 Li, Zhenzhen 1 Liang, Guangnan 1 Liang, Hongwei 1 Liu, Gui-Rong 1 Liu, Zhixing 1 Lou, W. Y. Wendy 1 Luo, Laixing 1 Olivier, Herbert 1 Pei, Lifang 1 Peng, Yucheng 1 Peng, Yusheng 1 Seadawy, Aly R. 1 Wan, Jianjun 1 Wang, Fuwei 1 Wang, Nan 1 Wang, Songyu 1 Wang, Yana 1 Wang, Zhenghui 1 Wei, Xianyong 1 Xie, Pingli 1 Yang, Luke 1 Yao, Xiankun 1 Zhang, Fei 1 Zhang, Feiran 1 Zhang, Guanyu 1 Zhao, Yongchen 1 Zhou, Jiaquan
all top 5

### Serials

 18 Numerical Mathematics 14 Journal of Zhengzhou University. Natural Science Edition 13 Mathematica Numerica Sinica 11 Journal of Computational Mathematics 11 Mathematica Applicata 7 Journal of Scientific Computing 7 Applied Mathematics. Series A (Chinese Edition) 6 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 6 Chinese Journal of Numerical Mathematics and Applications 6 Chinese Quarterly Journal of Mathematics 5 Journal of Engineering Mathematics (Xi’an) 5 Acta Mathematica Scientia. Series B. (English Edition) 4 Applied Numerical Mathematics 4 Journal of Statistics & Management Systems 4 Chinese Journal of Engineering Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Calcolo 3 Applied Mathematics and Mechanics. (English Edition) 3 Mathematics in Practice and Theory 3 Numerical Mathematics 3 Advances in Computational Mathematics 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Journal of Henan University. Natural Science 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Numerical Analysis and Modeling 1 International Journal of Modern Physics B 1 Analysis Mathematica 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Acta Mathematicae Applicatae Sinica 1 Journal of Mathematical Research & Exposition 1 Finite Elements in Analysis and Design 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Science in China. Series A 1 Systems Science and Mathematical Sciences 1 Journal of Physics A: Mathematical and General 1 Acta Mathematica Scientia 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal on Numerical Methods and Computer Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Inequalities and Applications 1 Journal of Mathematical Study 1 Journal of Systems Science and Complexity 1 Journal of Numerical Mathematics 1 Journal of Guangxi Normal University. Natural Science Edition 1 Science China. Mathematics 1 International Journal of Numerical Methods and Applications
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### Fields

 152 Numerical analysis (65-XX) 78 Partial differential equations (35-XX) 67 Mechanics of deformable solids (74-XX) 18 Fluid mechanics (76-XX) 5 Approximations and expansions (41-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 618 times in 321 Documents Cited by Year
An anisotropic nonconforming finite element with some superconvergence results. Zbl 1074.65133
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
2005
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
2004
The nonconforming virtual element method for plate bending problems. Zbl 1396.74098
Zhao, Jikun; Chen, Shaochun; Zhang, Bei
2016
Anisotropic interpolations with application to nonconforming elements. Zbl 1057.65082
Chen, Shaochun; Zhao, Yongcheng; Shi, Dongyang
2004
Conforming rectangular mixed finite elements for elasticity. Zbl 1248.74038
Chen, Shaochun; Wang, Yana
2011
The Morley-type virtual element for plate bending problems. Zbl 1397.65299
Zhao, Jikun; Zhang, Bei; Chen, Shaochun; Mao, Shipeng
2018
New mixed element schemes for second order elliptic problem. Zbl 1224.65260
Chen, Shaochun; Chen, Hongru
2010
$$C^{0}$$-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth-order elliptic problem. Zbl 1276.65078
Chen, Hongru; Chen, Shaochun; Qiao, Zhonghua
2013
Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data. Zbl 1440.65143
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun
2019
Accuracy analysis for quasi-Wilson element. Zbl 0988.65097
Chen, Shaochun; Shi, Dongyang
2000
Non $$C^0$$ nonconforming elements for elliptic fourth order singular perturbation problem. Zbl 1069.65125
Chen, Shaochun; Zhao, Yongchen; Shi, Dongyang
2005
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang
2007
Flaw detection in sandwich plates based on time-harmonic response using genetic algorithm. Zbl 1014.74030
Liu, G. R.; Chen, S. C.
2001
The divergence-free nonconforming virtual element for the Stokes problem. Zbl 1427.65388
Zhao, Jikun; Zhang, Bei; Mao, Shipeng; Chen, Shaochun
2019
A locking-free anisotropic nonconforming finite element for planar linear elasticity problem. Zbl 1125.65107
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
2007
The nonconforming virtual element method for elasticity problems. Zbl 1416.74092
Zhang, Bei; Zhao, Jikun; Yang, Yongqin; Chen, Shaochun
2019
A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element. Zbl 1094.65120
Mao, Shipeng; Chen, Shaochun; Sun, Huixia
2006
A kind of improved Wilson arbitrary quadrilateral elements. Zbl 0811.65094
Shi, Dongyang; Chen, Shaochun
1994
Double set parameter method of constructing stiffness matrices. Zbl 0850.73278
Chen, Shaochun; Shi, Zhongci
1991
An anisotropic nonconforming element for fourth order elliptic singularly perturbed problem. Zbl 1202.65153
Chen, Shaochun; Liu, Mingfang; Qiao, Zhonghua
2010
A quadrilateral nonconforming finite element for linear elasticity problem. Zbl 1126.74049
Mao, Shipeng; Chen, Shaochun
2008
Plate elements with high accuracy. Zbl 1010.74594
Shi, Zhong-Ci; Chen, Shao-Chun; Huang, Hong-Ci
1997
Convergence analysis of Bergan’s energy-orthogonal plate element. Zbl 0814.73066
Shi, Zhongci; Chen, Shaochun; Zhang, Fei
1994
A class of six-parameter nonconforming arbitrary quadrilateral elements. Zbl 0861.65093
Shi, Dongyang; Chen, Shaochun
1996
On the anisotropic accuracy analysis of ACM’s nonconforming finite element. Zbl 1087.65103
Shi, Dong-yang; Mao, Shi-peng; Chen, Shao-chun
2005
Convergence analysis for a nonconforming membrane element on anisotropic meshes. Zbl 1120.65335
Shi, Dongyang; Chen, Shaochun; Hagiwara, Ichiro
2005
A uniformly convergent nonconforming element for 3-D fourth order elliptic singular perturbation problem. Zbl 1324.65140
Chen, Hongru; Chen, Shaochun
2014
$$C^0$$-nonconforming triangular prism elements for the three-dimensional fourth-order elliptic problem. Zbl 1269.65122
Chen, Hong-Ru; Chen, Shao-Chun; Qiao, Zhong-Hua
2013
An anisotropic, superconvergent nonconforming plate finite element. Zbl 1149.65091
Chen, Shaochun; Yin, Li; Mao, Shipeng
2008
Uniformly convergent $$H(\mathrm{div})$$-conforming rectangular elements for Darcy-Stokes problem. Zbl 1305.76054
Chen, Shaochun; Dong, Lina; Qiao, Zhonghua
2013
Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes. Zbl 1132.65085
Shi, Dongyang; Peng, Yusheng; Chen, Shaochun
2006
Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for singularly perturbed reaction-diffusion problems. Zbl 1197.65172
Zhu, Guoqing; Chen, Shaochun
2010
Second-order locking-free nonconforming elements for planar linear elasticity. Zbl 1423.74093
Chen, Shaochun; Ren, Guobiao; Mao, Shipeng
2010
Convergence and superconvergence analysis of finite element methods on graded meshes for singularly and semisingularly perturbed reaction-diffusion problems. Zbl 1155.65093
Zhu, Guoqing; Chen, Shaochun
2008
Uniformly convergent $$C^{0}$$-nonconforming triangular prism element for fourth-order elliptic singular perturbation problem. Zbl 1317.65234
Chen, Hongru; Chen, Shaochun; Xiao, Liuchao
2014
Convergence of a nine parameter generalized conforming element. Zbl 0850.73277
Shi, Zhongci; Chen, Shaochun
1991
A class of anisotropic Crouzeix-Raviart type finite element approximations to Signorini variational inequality problem. Zbl 1135.49012
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
2005
The nonconforming virtual element method for fourth-order singular perturbation problem. Zbl 1436.65191
Zhang, Bei; Zhao, Jikun; Chen, Shaochun
2020
Conforming and nonconforming conservative virtual element methods for nonlinear Schrödinger equation: a unified framework. Zbl 07414317
Li, Meng; Zhao, Jikun; Wang, Nan; Chen, Shaochun
2021
Error estimates for rotated $$Q_1^{rot}$$ element approximation of the eigenvalue problem on anisotropic meshes. Zbl 1168.65066
Shi, Dongyang; Peng, Yucheng; Chen, Shaochun
2009
Accuracy analysis of Adini’s non-conforming plate element on anisotropic meshes. Zbl 1095.74041
Mao, Shipeng; Chen, Shaochun
2006
Convergence analysis of Morley element on anisotropic meshes. Zbl 1100.74056
Mao, Shipeng; Chen, Shaochun
2006
An analysis of a nine parameter plate element of Specht. Zbl 0724.73240
Shi, Zhongci; Chen, Shaochun
1989
Robust a posteriori error estimates for conforming discretizations of a singularly perturbed reaction-diffusion problem on anisotropic meshes. Zbl 1295.65105
Zhao, Jikun; Chen, Shaochun
2014
A nonconforming arbitrary quadrilateral finite element method for approximating Maxwell’s equations. Zbl 1174.78304
Shi, Dongyang; Pei, Lifang; Chen, Shaochun
2007
Anisotropic conforming rectangular elements for elliptic problems of any order. Zbl 1161.65084
Chen, Shaochun; Yang, Yongqin; Mao, Shipeng
2009
The nonconforming finite element approximation to hyperbolic intergrodifferential equations on anisotropic meshes. Zbl 1143.65406
Shi, Dongyang; Xie, Pingli; Chen, Shaochun
2007
Quasi-conforming finite element approximation for a fourth order variational inequality with displacement obstacle. Zbl 1034.65050
Shi, Dongyang; Chen, Shaochun
2003
The nonconforming virtual element method for the Darcy-Stokes problem. Zbl 07337120
Zhao, Jikun; Zhang, Bei; Mao, Shipeng; Chen, Shaochun
2020
A direct analysis of the 9-parameter quasi-conforming plate element. Zbl 0850.73334
Shi, Zhongci; Chen, Shaochun
1990
On the free formation of constructing stiffness matrices. Zbl 0850.73279
Chen, Shaochun; Shi, Zhongci
1991
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems. Zbl 1410.65463
Zhao, Jikun; Chen, Shaochun; Zhang, Bei; Mao, Shipeng
2015
The simplest conforming anisotropic rectangular and cubic mixed finite elements for elasticity. Zbl 1410.74062
Chen, Shao-chun; Sun, Yan-ping; Zhao, Ji-kun
2015
Convergence and superconvergence of a nonconforming finite element method for the Stokes problem. Zbl 1111.65097
Mao, S. P.; Chen, S.
2006
On the probability of pattern matching in nonaligned DNA sequences: A finite Markov chain imbedding approach. Zbl 0941.62114
Fu, James C.; Lou, W. Y. Wendy; Chen, S. C.
1999
Some numerical quadrature schemes of a non-conforming quadrilateral finite element. Zbl 1355.65155
Guan, Xiao-fei; Li, Ming-xia; Chen, Shao-chun
2012
A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems. Zbl 1333.65123
Zhao, Jikun; Chen, Shaochun; Zhang, Bei
2015
Explicit error estimates for the nonconforming Wilson’s element. Zbl 1299.65265
Zhao, Jikun; Chen, Shaochun
2013
A locking-free nonconforming triangular element for planar elasticity with pure traction boundary condition. Zbl 1404.74176
Yang, Yongqin; Chen, Shaochun
2010
Three dimension quasi-Wilson element for flat hexahedron meshes. Zbl 1048.74038
Chen, Shaochun; Shi, Dongyang; Ren, Guobiao
2004
Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions. Zbl 1222.41004
Chen, Shaochun; Zheng, Yanjun; Mao, Shipeng
2011
Chiral soliton solutions of perturbed chiral nonlinear Schrödinger equation with its applications in mathematical physics. Zbl 1454.35333
Cheemaa, N.; Chen, S.; Seadawy, A. R.
2020
Numerical study of chemically reacting flow in a shock tube using a high-order point-implicit scheme. Zbl 07048391
Chen, S.; Sun, Q.; Klioutchnikov, I.; Olivier, H.
2019
Accuracy analysis of 12-parameter rectangular plate elements with geometric symmetry. Zbl 0997.74067
Shi, Dongyang; Chen, Shaochun
2000
Stabilization of low-order mixed finite elements for the plane elasticity equations. Zbl 1368.74063
Li, Zhenzhen; Chen, Shaochun; Qu, Shuanghong; Li, Minghao
2017
Uniformly convergent cubic nonconforming element for Darcy-Stokes problem. Zbl 1397.76063
Chen, Shao-chun; Dong, Li-na; Zhao, Ji-kun
2017
The error estimates for the double set parameter elements. Zbl 1099.65544
Chen, Shaochun; Shi, Dongyang
2005
Convergence analysis of the rotated $${\mathcal Q}_1$$ element on anisotropic rectangular meshes. Zbl 1120.65334
Mao, Shipeng; Chen, Shaochun
2005
Integrated “CAE” strategies for the design of machine tool spindle-bearing systems. Zbl 1163.68370
Kang, Y.; Chang, Y.-P.; Tsai, J.-W.; Chen, S.-C.; Yang, L.-K.
2001
A 13-parameter quadrilateral plate element with double set parameters. Zbl 1274.74458
Zhao, Zhongjian; Xiao, Liuchao; Chen, Shaochun
2012
Superconvergence analysis of two kinds of anisotropic nonconforming finite elements. Zbl 1142.65427
Shi, Dongyang; Wang, Songyu; Chen, Shaochun
2007
Interpolation theory of anisotropic finite elements and applications. Zbl 1165.65067
Chen, ShaoChun; Xiao, LiuChao
2008
Trapezoidal plate bending element with double set parameters. Zbl 1060.74063
Chen, Shaochun; Shi, Dongyang; Hagiwara, Ichiro
2003
Estimations of constants in inverse inequalities for finite element functions. Zbl 1299.65263
Chen, Shaochun; Zhao, Jikun
2013
A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems. Zbl 1366.65100
Zhang, Bei; Chen, Shaochun; Zhao, Jikun; Mao, Shipeng
2017
Uniformly convergent nonconforming tetrahedral element for Darcy-Stokes problem. Zbl 1438.65284
Dong, Lina; Chen, Shaochun
2019
Convergence of a mixed finite element for the Stokes problem on anisotropic meshes. Zbl 1174.76010
Li, Qingshan; Sun, Huixia; Chen, Shaochun
2008
12-parameter rectangular plate elements with geometric symmetry. Zbl 0866.73067
Chen, Shaochun; Shi, Dongyang
1996
Triangular elements for Reissner-Mindlin plate. Zbl 0894.73147
Chen, Shaochun; Shi, Dongyang
1997
A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes. Zbl 1410.65427
Zhang, Bei; Chen, Shaochun; Zhao, Jikun
2014
Conforming and nonconforming conservative virtual element methods for nonlinear Schrödinger equation: a unified framework. Zbl 07414317
Li, Meng; Zhao, Jikun; Wang, Nan; Chen, Shaochun
2021
The nonconforming virtual element method for fourth-order singular perturbation problem. Zbl 1436.65191
Zhang, Bei; Zhao, Jikun; Chen, Shaochun
2020
The nonconforming virtual element method for the Darcy-Stokes problem. Zbl 07337120
Zhao, Jikun; Zhang, Bei; Mao, Shipeng; Chen, Shaochun
2020
Chiral soliton solutions of perturbed chiral nonlinear Schrödinger equation with its applications in mathematical physics. Zbl 1454.35333
Cheemaa, N.; Chen, S.; Seadawy, A. R.
2020
Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data. Zbl 1440.65143
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun
2019
The divergence-free nonconforming virtual element for the Stokes problem. Zbl 1427.65388
Zhao, Jikun; Zhang, Bei; Mao, Shipeng; Chen, Shaochun
2019
The nonconforming virtual element method for elasticity problems. Zbl 1416.74092
Zhang, Bei; Zhao, Jikun; Yang, Yongqin; Chen, Shaochun
2019
Numerical study of chemically reacting flow in a shock tube using a high-order point-implicit scheme. Zbl 07048391
Chen, S.; Sun, Q.; Klioutchnikov, I.; Olivier, H.
2019
Uniformly convergent nonconforming tetrahedral element for Darcy-Stokes problem. Zbl 1438.65284
Dong, Lina; Chen, Shaochun
2019
The Morley-type virtual element for plate bending problems. Zbl 1397.65299
Zhao, Jikun; Zhang, Bei; Chen, Shaochun; Mao, Shipeng
2018
Stabilization of low-order mixed finite elements for the plane elasticity equations. Zbl 1368.74063
Li, Zhenzhen; Chen, Shaochun; Qu, Shuanghong; Li, Minghao
2017
Uniformly convergent cubic nonconforming element for Darcy-Stokes problem. Zbl 1397.76063
Chen, Shao-chun; Dong, Li-na; Zhao, Ji-kun
2017
A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems. Zbl 1366.65100
Zhang, Bei; Chen, Shaochun; Zhao, Jikun; Mao, Shipeng
2017
The nonconforming virtual element method for plate bending problems. Zbl 1396.74098
Zhao, Jikun; Chen, Shaochun; Zhang, Bei
2016
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems. Zbl 1410.65463
Zhao, Jikun; Chen, Shaochun; Zhang, Bei; Mao, Shipeng
2015
The simplest conforming anisotropic rectangular and cubic mixed finite elements for elasticity. Zbl 1410.74062
Chen, Shao-chun; Sun, Yan-ping; Zhao, Ji-kun
2015
A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems. Zbl 1333.65123
Zhao, Jikun; Chen, Shaochun; Zhang, Bei
2015
A uniformly convergent nonconforming element for 3-D fourth order elliptic singular perturbation problem. Zbl 1324.65140
Chen, Hongru; Chen, Shaochun
2014
Uniformly convergent $$C^{0}$$-nonconforming triangular prism element for fourth-order elliptic singular perturbation problem. Zbl 1317.65234
Chen, Hongru; Chen, Shaochun; Xiao, Liuchao
2014
Robust a posteriori error estimates for conforming discretizations of a singularly perturbed reaction-diffusion problem on anisotropic meshes. Zbl 1295.65105
Zhao, Jikun; Chen, Shaochun
2014
A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes. Zbl 1410.65427
Zhang, Bei; Chen, Shaochun; Zhao, Jikun
2014
$$C^{0}$$-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth-order elliptic problem. Zbl 1276.65078
Chen, Hongru; Chen, Shaochun; Qiao, Zhonghua
2013
$$C^0$$-nonconforming triangular prism elements for the three-dimensional fourth-order elliptic problem. Zbl 1269.65122
Chen, Hong-Ru; Chen, Shao-Chun; Qiao, Zhong-Hua
2013
Uniformly convergent $$H(\mathrm{div})$$-conforming rectangular elements for Darcy-Stokes problem. Zbl 1305.76054
Chen, Shaochun; Dong, Lina; Qiao, Zhonghua
2013
Explicit error estimates for the nonconforming Wilson’s element. Zbl 1299.65265
Zhao, Jikun; Chen, Shaochun
2013
Estimations of constants in inverse inequalities for finite element functions. Zbl 1299.65263
Chen, Shaochun; Zhao, Jikun
2013
Some numerical quadrature schemes of a non-conforming quadrilateral finite element. Zbl 1355.65155
Guan, Xiao-fei; Li, Ming-xia; Chen, Shao-chun
2012
A 13-parameter quadrilateral plate element with double set parameters. Zbl 1274.74458
Zhao, Zhongjian; Xiao, Liuchao; Chen, Shaochun
2012
Conforming rectangular mixed finite elements for elasticity. Zbl 1248.74038
Chen, Shaochun; Wang, Yana
2011
Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions. Zbl 1222.41004
Chen, Shaochun; Zheng, Yanjun; Mao, Shipeng
2011
New mixed element schemes for second order elliptic problem. Zbl 1224.65260
Chen, Shaochun; Chen, Hongru
2010
An anisotropic nonconforming element for fourth order elliptic singularly perturbed problem. Zbl 1202.65153
Chen, Shaochun; Liu, Mingfang; Qiao, Zhonghua
2010
Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for singularly perturbed reaction-diffusion problems. Zbl 1197.65172
Zhu, Guoqing; Chen, Shaochun
2010
Second-order locking-free nonconforming elements for planar linear elasticity. Zbl 1423.74093
Chen, Shaochun; Ren, Guobiao; Mao, Shipeng
2010
A locking-free nonconforming triangular element for planar elasticity with pure traction boundary condition. Zbl 1404.74176
Yang, Yongqin; Chen, Shaochun
2010
Error estimates for rotated $$Q_1^{rot}$$ element approximation of the eigenvalue problem on anisotropic meshes. Zbl 1168.65066
Shi, Dongyang; Peng, Yucheng; Chen, Shaochun
2009
Anisotropic conforming rectangular elements for elliptic problems of any order. Zbl 1161.65084
Chen, Shaochun; Yang, Yongqin; Mao, Shipeng
2009
A quadrilateral nonconforming finite element for linear elasticity problem. Zbl 1126.74049
Mao, Shipeng; Chen, Shaochun
2008
An anisotropic, superconvergent nonconforming plate finite element. Zbl 1149.65091
Chen, Shaochun; Yin, Li; Mao, Shipeng
2008
Convergence and superconvergence analysis of finite element methods on graded meshes for singularly and semisingularly perturbed reaction-diffusion problems. Zbl 1155.65093
Zhu, Guoqing; Chen, Shaochun
2008
Interpolation theory of anisotropic finite elements and applications. Zbl 1165.65067
Chen, ShaoChun; Xiao, LiuChao
2008
Convergence of a mixed finite element for the Stokes problem on anisotropic meshes. Zbl 1174.76010
Li, Qingshan; Sun, Huixia; Chen, Shaochun
2008
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang
2007
A locking-free anisotropic nonconforming finite element for planar linear elasticity problem. Zbl 1125.65107
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
2007
A nonconforming arbitrary quadrilateral finite element method for approximating Maxwell’s equations. Zbl 1174.78304
Shi, Dongyang; Pei, Lifang; Chen, Shaochun
2007
The nonconforming finite element approximation to hyperbolic intergrodifferential equations on anisotropic meshes. Zbl 1143.65406
Shi, Dongyang; Xie, Pingli; Chen, Shaochun
2007
Superconvergence analysis of two kinds of anisotropic nonconforming finite elements. Zbl 1142.65427
Shi, Dongyang; Wang, Songyu; Chen, Shaochun
2007
A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element. Zbl 1094.65120
Mao, Shipeng; Chen, Shaochun; Sun, Huixia
2006
Superconvergence of a nonconforming finite element approximation to viscoelasticity type equations on anisotropic meshes. Zbl 1132.65085
Shi, Dongyang; Peng, Yusheng; Chen, Shaochun
2006
Accuracy analysis of Adini’s non-conforming plate element on anisotropic meshes. Zbl 1095.74041
Mao, Shipeng; Chen, Shaochun
2006
Convergence analysis of Morley element on anisotropic meshes. Zbl 1100.74056
Mao, Shipeng; Chen, Shaochun
2006
Convergence and superconvergence of a nonconforming finite element method for the Stokes problem. Zbl 1111.65097
Mao, S. P.; Chen, S.
2006
An anisotropic nonconforming finite element with some superconvergence results. Zbl 1074.65133
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
2005
Non $$C^0$$ nonconforming elements for elliptic fourth order singular perturbation problem. Zbl 1069.65125
Chen, Shaochun; Zhao, Yongchen; Shi, Dongyang
2005
On the anisotropic accuracy analysis of ACM’s nonconforming finite element. Zbl 1087.65103
Shi, Dong-yang; Mao, Shi-peng; Chen, Shao-chun
2005
Convergence analysis for a nonconforming membrane element on anisotropic meshes. Zbl 1120.65335
Shi, Dongyang; Chen, Shaochun; Hagiwara, Ichiro
2005
A class of anisotropic Crouzeix-Raviart type finite element approximations to Signorini variational inequality problem. Zbl 1135.49012
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
2005
The error estimates for the double set parameter elements. Zbl 1099.65544
Chen, Shaochun; Shi, Dongyang
2005
Convergence analysis of the rotated $${\mathcal Q}_1$$ element on anisotropic rectangular meshes. Zbl 1120.65334
Mao, Shipeng; Chen, Shaochun
2005
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
2004
Anisotropic interpolations with application to nonconforming elements. Zbl 1057.65082
Chen, Shaochun; Zhao, Yongcheng; Shi, Dongyang
2004
Three dimension quasi-Wilson element for flat hexahedron meshes. Zbl 1048.74038
Chen, Shaochun; Shi, Dongyang; Ren, Guobiao
2004
Quasi-conforming finite element approximation for a fourth order variational inequality with displacement obstacle. Zbl 1034.65050
Shi, Dongyang; Chen, Shaochun
2003
Trapezoidal plate bending element with double set parameters. Zbl 1060.74063
Chen, Shaochun; Shi, Dongyang; Hagiwara, Ichiro
2003
Flaw detection in sandwich plates based on time-harmonic response using genetic algorithm. Zbl 1014.74030
Liu, G. R.; Chen, S. C.
2001
Integrated “CAE” strategies for the design of machine tool spindle-bearing systems. Zbl 1163.68370
Kang, Y.; Chang, Y.-P.; Tsai, J.-W.; Chen, S.-C.; Yang, L.-K.
2001
Accuracy analysis for quasi-Wilson element. Zbl 0988.65097
Chen, Shaochun; Shi, Dongyang
2000
Accuracy analysis of 12-parameter rectangular plate elements with geometric symmetry. Zbl 0997.74067
Shi, Dongyang; Chen, Shaochun
2000
On the probability of pattern matching in nonaligned DNA sequences: A finite Markov chain imbedding approach. Zbl 0941.62114
Fu, James C.; Lou, W. Y. Wendy; Chen, S. C.
1999
Plate elements with high accuracy. Zbl 1010.74594
Shi, Zhong-Ci; Chen, Shao-Chun; Huang, Hong-Ci
1997
Triangular elements for Reissner-Mindlin plate. Zbl 0894.73147
Chen, Shaochun; Shi, Dongyang
1997
A class of six-parameter nonconforming arbitrary quadrilateral elements. Zbl 0861.65093
Shi, Dongyang; Chen, Shaochun
1996
12-parameter rectangular plate elements with geometric symmetry. Zbl 0866.73067
Chen, Shaochun; Shi, Dongyang
1996
A kind of improved Wilson arbitrary quadrilateral elements. Zbl 0811.65094
Shi, Dongyang; Chen, Shaochun
1994
Convergence analysis of Bergan’s energy-orthogonal plate element. Zbl 0814.73066
Shi, Zhongci; Chen, Shaochun; Zhang, Fei
1994
Double set parameter method of constructing stiffness matrices. Zbl 0850.73278
Chen, Shaochun; Shi, Zhongci
1991
Convergence of a nine parameter generalized conforming element. Zbl 0850.73277
Shi, Zhongci; Chen, Shaochun
1991
On the free formation of constructing stiffness matrices. Zbl 0850.73279
Chen, Shaochun; Shi, Zhongci
1991
A direct analysis of the 9-parameter quasi-conforming plate element. Zbl 0850.73334
Shi, Zhongci; Chen, Shaochun
1990
An analysis of a nine parameter plate element of Specht. Zbl 0724.73240
Shi, Zhongci; Chen, Shaochun
1989
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### Cited by 354 Authors

 92 Shi, Dongyang 35 Chen, Shaochun 23 Mao, Shipeng 17 Zhao, Jikun 13 Guan, Hongbo 12 Zhang, Bei 11 Zhao, Yanmin 10 Pei, Lifang 9 Li, Meng 9 Shi, Zhongci 8 Hu, Jun 8 Xu, Chao 7 Wang, Fenling 6 Beirão da Veiga, Lourenço 6 He, Siriguleng 6 Huang, Jianguo 6 Huang, Xuehai 6 Li, Hong 6 Li, Minghao 6 Liu, Yang 6 Manzini, Gianmarco 6 Wang, Junjun 6 Zhang, Shangyou 5 Antonietti, Paola Francesca 5 Fang, Zhichao 5 Guan, Xiaofei 5 Li, Mingxia 5 Liao, Xin 5 Verani, Marco 5 Yang, Huaijun 5 Zhang, Houchao 5 Zhang, Yadong 4 Dehghan Takht Fooladi, Mehdi 4 Feng, Minfu 4 Gao, Wei 4 Han, Weimin 4 Liang, Hui 4 Liu, Wei 4 Meng, Zhaoliang 4 Song, Shicang 4 Tang, Yifa 4 Yang, Yongqin 3 Awanou, Gerard Michel 3 Brezzi, Franco 3 Chen, Hongru 3 Gong, Wei 3 He, Wenming 3 Huang, Chengming 3 Li, Zhenzhen 3 Luo, Zhongxuan 3 Marini, Luisa Donatella 3 Meng, XiangYun 3 Mora, David 3 Qiao, Zhonghua 3 Ren, Jincheng 3 Russo, Alessandro 3 Shi, Dongwei 3 Tang, Qili 3 Wang, Caixia 3 Wang, Lele 3 Xiao, Liuchao 3 Xie, Pingli 3 Xie, Xiaoping 3 Xu, Xuejun 3 Yang, Yan 3 Zhang, Ran 3 Zhang, Shuo 3 Zhou, Xinchen 3 Zhu, Guoqing 3 Zhu, Huiqing 2 Abbaszadeh, Mostafa 2 Adak, Dibyendu 2 Bean, Maranda 2 Blasco, Jordi 2 Brenner, Susanne Cecelia 2 Bu, Weiping 2 Cao, Weiming 2 Chen, Long 2 Chi, Heng 2 Cui, Jintao 2 Dai, Ying 2 Dong, Lina 2 Fan, Xin 2 Feng, Fang 2 Gharibi, Zeinab 2 Hao, Xiaobin 2 Harper, Graham 2 He, Yinnian 2 Hou, Tianliang 2 Ji, Xia 2 Jia, Xu 2 Li, Jin 2 Li, Zhiyan 2 Lin, Sen 2 Liu, Fawang 2 Liu, Jiangguo 2 Liu, Qian 2 Lovadina, Carlo 2 Lu, Linzhang 2 Ma, Rui ...and 254 more Authors
all top 5

### Cited in 64 Serials

 36 Computers & Mathematics with Applications 31 Applied Mathematics and Computation 25 Journal of Scientific Computing 19 Applied Numerical Mathematics 14 Journal of Computational and Applied Mathematics 13 Computer Methods in Applied Mechanics and Engineering 12 Applied Mathematics and Mechanics. (English Edition) 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Applied Mathematics Letters 8 Acta Mathematicae Applicatae Sinica. English Series 8 Science China. Mathematics 7 Numerical Methods for Partial Differential Equations 7 Journal of Systems Science and Complexity 6 Advances in Computational Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Advances in Applied Mathematics and Mechanics 5 Journal of Mathematical Analysis and Applications 5 Mathematical Methods in the Applied Sciences 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 Applied Mathematics. Series B (English Edition) 4 Journal of Computational Physics 4 Mathematics of Computation 4 Science in China. Series A 4 Computational and Applied Mathematics 4 Journal of Applied Mathematics and Computing 3 Journal of Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Communications in Numerical Methods in Engineering 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Methods in Applied Mathematics 2 Central European Journal of Mathematics 2 Boundary Value Problems 2 Advances in Mathematical Physics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Electronic Research Archive 1 BIT 1 Calcolo 1 Mathematics and Computers in Simulation 1 Applied Mathematical Modelling 1 Communications in Statistics. Simulation and Computation 1 Engineering Analysis with Boundary Elements 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Chaos 1 Engineering Computations 1 Russian Physics Journal 1 Mathematical Modelling and Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 The Australian Journal of Mathematical Analysis and Applications 1 Numerical Mathematics: Theory, Methods and Applications 1 ISRN Applied Mathematics 1 Journal of Computational Dynamics 1 SMAI Journal of Computational Mathematics 1 Fixed Point Theory and Algorithms for Sciences and Engineering
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### Cited in 20 Fields

 296 Numerical analysis (65-XX) 147 Partial differential equations (35-XX) 76 Mechanics of deformable solids (74-XX) 52 Fluid mechanics (76-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 9 Real functions (26-XX) 6 Potential theory (31-XX) 6 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 4 Approximations and expansions (41-XX) 3 Geophysics (86-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX)