Edit Profile (opens in new tab) Chen, Hongsen Co-Author Distance Author ID: chen.hongsen Published as: Chen, Hongsen; Chen, H. External Links: MGP · ResearchGate · dblp Documents Indexed: 32 Publications since 1988, including 1 Book Co-Authors: 19 Co-Authors with 23 Joint Publications 704 Co-Co-Authors all top 5 Co-Authors 9 single-authored 7 Chen, Zhangxin 7 Ewing, Richard Edward 5 Qin, Guan 3 Lazarov, Raytcho D. 3 Lin, Qun 2 Cui, Ming 2 Li, Baoyan 2 Liu, Jiangguo 1 Huan, Guanren 1 Li, Bo 1 Lyons, Stephen L. 1 Pilant, Michael S. 1 Rannacher, Rolf 1 Sun, Tong 1 Tavener, Simon J. 1 Wang, Junping 1 Wang, Zhongxiao 1 Yale, David P. 1 Zhu, Qiding all top 5 Serials 3 SIAM Journal on Numerical Analysis 3 Journal of Numerical Mathematics 3 International Journal of Numerical Analysis and Modeling 2 Numerische Mathematik 2 Mathematica Numerica Sinica 2 Natural Science Journal of Xiangtan University 2 Numerical Methods for Partial Differential Equations 2 Systems Science and Mathematical Sciences 2 East-West Journal of Numerical Mathematics 1 Journal of Computational Physics 1 Mathematics of Computation 1 Computing 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Systems Science and Mathematical Sciences 1 Advances in Computational Mathematics all top 5 Fields 28 Numerical analysis (65-XX) 22 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 3 Potential theory (31-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 180 times in 164 Documents Cited by ▼ Year ▼ Pointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems. Zbl 1081.65102 Chen, Zhangxin; Chen, Hongsen 38 2004 Superconvergence analysis and error expansion for the Wilson nonconforming finite element. Zbl 0818.65098 Chen, Hongsen; Li, Bo 31 1994 Pointwise error estimates for finite element solutions of the Stokes problem. Zbl 1112.65108 Chen, Hongsen 25 2006 Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Zbl 1110.65074 Chen, Hongsen 15 2006 Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044 Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho 14 1998 An interior estimate of superconvergence for finite element solutions for second-order elliptic problems on quasi-uniform meshes by local projections. Zbl 1058.65118 Chen, Hongsen; Wang, Junping 10 2003 Pointwise error estimates of the local discontinuous Galerkin method for a second order elliptic problem. Zbl 1072.65139 Chen, Hongsen 7 2005 Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094 Chen, H.; Chen, Z. 6 2003 ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows. Zbl 1137.82021 Liu, Jiangguo; Tavener, Simon; Chen, Hongsen 6 2007 An \(L^ 2\)-and \(L^ \infty\)-error analysis for parabolic finite element equations with applications to superconvergence and error expansions. Zbl 0830.65088 Chen, Hongsen 4 1993 Numerical study of the \(hp\) version of mixed discontinuous finite element methods for reaction-diffusion problems: The 1D case. Zbl 1062.65103 Chen, Hongsen; Chen, Zhangxin; Li, Baoyan 4 2003 An efficient algorithm for characteristic tracking on two-dimensional triangular meshes. Zbl 1120.65104 Liu, J.; Chen, H.; Ewing, R.; Qin, G. 3 2007 Local error estimates of mixed discontinuous Galerkin methods for elliptic problems. Zbl 1050.65102 Chen, H. 3 2004 Domain splitting algorithm for mixed finite element approximations to parabolic problems. Zbl 0878.65081 Chen, H.; Lazarov, R. D. 3 1996 Superconvergence for mixed finite element methods of plate bending problems. Zbl 0850.73335 Chen, Hongsen 2 1990 A numerical algorithm for single-phase fluid flow in elastic porous media. Zbl 1018.74037 Chen, Hongsen; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan; Sun, Tong; Yale, David P. 2 2000 A mixed finite element and superconvergence. Zbl 0678.65077 Chen, Hongsen 1 1988 Local error expansions and Richardson extrapolation for the streamline diffusion finite element method. Zbl 0835.65122 Chen, H.; Rannacher, R. 1 1993 The \(hp\) version of Eulerian-Lagrangian mixed discontinuous finite element methods for advection-diffusion problems. Zbl 1028.65105 Chen, Hongsen; Chen, Zhangxin; Li, Baoyan 1 2003 High accuracy error analysis of the linear finite element method for general boundary value problems. Zbl 0703.65062 Zhu, Qiding; Chen, Hongsen 1 1988 Error analysis for mixed finite element methods. Zbl 0850.65203 Chen, Hongsen 1 1991 Adaptive finite element approximations on nonmatching grids for second-order elliptic problems. Zbl 1195.65167 Chen, Hongsen; Ewing, Richard E.; Qin, Guan 1 2010 Reliable and efficient error control for an adaptive Galerkin-characteristic method for convection-dominated diffusion problems. Zbl 1262.65118 Cui, Ming; Chen, Zhangxin; Ewing, Richard E.; Qin, Guan; Chen, Hongsen 1 2012 Reliable and efficient error control for an adaptive Galerkin-characteristic method for convection-dominated diffusion problems. Zbl 1262.65118 Cui, Ming; Chen, Zhangxin; Ewing, Richard E.; Qin, Guan; Chen, Hongsen 1 2012 Adaptive finite element approximations on nonmatching grids for second-order elliptic problems. Zbl 1195.65167 Chen, Hongsen; Ewing, Richard E.; Qin, Guan 1 2010 ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows. Zbl 1137.82021 Liu, Jiangguo; Tavener, Simon; Chen, Hongsen 6 2007 An efficient algorithm for characteristic tracking on two-dimensional triangular meshes. Zbl 1120.65104 Liu, J.; Chen, H.; Ewing, R.; Qin, G. 3 2007 Pointwise error estimates for finite element solutions of the Stokes problem. Zbl 1112.65108 Chen, Hongsen 25 2006 Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Zbl 1110.65074 Chen, Hongsen 15 2006 Pointwise error estimates of the local discontinuous Galerkin method for a second order elliptic problem. Zbl 1072.65139 Chen, Hongsen 7 2005 Pointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems. Zbl 1081.65102 Chen, Zhangxin; Chen, Hongsen 38 2004 Local error estimates of mixed discontinuous Galerkin methods for elliptic problems. Zbl 1050.65102 Chen, H. 3 2004 An interior estimate of superconvergence for finite element solutions for second-order elliptic problems on quasi-uniform meshes by local projections. Zbl 1058.65118 Chen, Hongsen; Wang, Junping 10 2003 Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094 Chen, H.; Chen, Z. 6 2003 Numerical study of the \(hp\) version of mixed discontinuous finite element methods for reaction-diffusion problems: The 1D case. Zbl 1062.65103 Chen, Hongsen; Chen, Zhangxin; Li, Baoyan 4 2003 The \(hp\) version of Eulerian-Lagrangian mixed discontinuous finite element methods for advection-diffusion problems. Zbl 1028.65105 Chen, Hongsen; Chen, Zhangxin; Li, Baoyan 1 2003 A numerical algorithm for single-phase fluid flow in elastic porous media. Zbl 1018.74037 Chen, Hongsen; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan; Sun, Tong; Yale, David P. 2 2000 Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044 Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho 14 1998 Domain splitting algorithm for mixed finite element approximations to parabolic problems. Zbl 0878.65081 Chen, H.; Lazarov, R. D. 3 1996 Superconvergence analysis and error expansion for the Wilson nonconforming finite element. Zbl 0818.65098 Chen, Hongsen; Li, Bo 31 1994 An \(L^ 2\)-and \(L^ \infty\)-error analysis for parabolic finite element equations with applications to superconvergence and error expansions. Zbl 0830.65088 Chen, Hongsen 4 1993 Local error expansions and Richardson extrapolation for the streamline diffusion finite element method. Zbl 0835.65122 Chen, H.; Rannacher, R. 1 1993 Error analysis for mixed finite element methods. Zbl 0850.65203 Chen, Hongsen 1 1991 Superconvergence for mixed finite element methods of plate bending problems. Zbl 0850.73335 Chen, Hongsen 2 1990 A mixed finite element and superconvergence. Zbl 0678.65077 Chen, Hongsen 1 1988 High accuracy error analysis of the linear finite element method for general boundary value problems. Zbl 0703.65062 Zhu, Qiding; Chen, Hongsen 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 266 Authors 11 Novo, Julia 8 García-Archilla, Bosco 6 Guzmán, Johnny 6 Leykekhman, Dmitriy 5 Bi, Chunjia 4 Chen, Zhangxin 4 Hu, Jun 4 John, Volker 4 Li, Jian 4 Lin, Qun 4 Liu, Huipo 4 Natesan, Srinivasan 4 Singh, Gautam B. 4 Yang, Jiming 3 Chen, Hongsen 3 Chen, Yanping 3 de Frutos, Javier 3 Huang, Hung-Tsai 3 Huang, Pengzhan 3 Huang, Yunqing 3 Li, Zi-Cai 3 Lin, Yanping 3 Mao, Shipeng 3 Shi, Dongyang 3 Sun, Shuyu 3 Vexler, Boris 2 Abdulle, Assyr 2 Arbogast, Todd 2 Ayuso de Dios, Blanca 2 Benkhaldoun, Fayssal 2 Bi, Hai 2 Brenner, Susanne Cecelia 2 Chen, Shaochun 2 Dolejší, Vít 2 Feng, Xiaobing 2 Gao, Yali 2 Ginting, Victor 2 Gong, Wei 2 Havle, Oto 2 He, Xiaoming 2 He, Yinnian 2 Li, Buyang 2 Li, Jichun 2 Li, Likang 2 Li, Rui 2 Lin, Tao 2 Liu, Qian 2 Liu, Wei 2 Ma, Limin 2 Ma, Rui 2 Neilan, Michael 2 Pani, Amiya Kumar 2 Pei, Lifang 2 Rannacher, Rolf 2 Rivière, Beatrice M. 2 Rubino, Samuele 2 Schatz, Alfred H. 2 Shi, Zhongci 2 Showalter, Ralph E. 2 Song, Lunji 2 Sung, Li-Yeng 2 Wang, Shuanghu 2 Wheeler, Mary Fanett 2 Wollner, Winnifried 2 Xu, Chao 2 Xu, Xuejun 2 Yan, Ningning 2 Yan, Wenjing 2 Yang, Xueqin 2 Yang, Yidu 2 Zhang, Zhimin 2 Zhong, Liuqiang 2 Zhu, Shengfeng 1 Achchab, Boujemaa 1 Adams, Thomas R. 1 Agouzal, Abdellatif 1 Asadzadeh, Mohammad Sina 1 Askar, Rena 1 Baccouch, Mahboub 1 Baird, John C. 1 Bayat, Hamid Reza 1 Behringer, Niklas 1 Bradji, Abdallah 1 Brezzi, Franco 1 Carrillo de la Plata, José Antonio 1 Chabaud, Brandon M. 1 Chen, Chaoping 1 Chen, Gang 1 Chen, Yanli 1 Chiba, Yuki 1 Chien, Cheng-Sheng 1 Choi, Woocheol 1 Cockburn, Bernardo 1 Coombs, William M. 1 Cui, Jintao 1 D. Y. Shi, Dongyang 1 Dawson, Clint N. 1 De Souza, Giacomo Rosilho 1 Demlow, Alan 1 Deng, Weibing ...and 166 more Authors all top 5 Cited in 50 Serials 14 Journal of Scientific Computing 13 Mathematics of Computation 10 Computer Methods in Applied Mechanics and Engineering 10 Journal of Computational and Applied Mathematics 10 Numerical Methods for Partial Differential Equations 8 SIAM Journal on Numerical Analysis 8 Applied Numerical Mathematics 7 Journal of Computational Physics 6 Computers & Mathematics with Applications 6 Numerische Mathematik 5 Mathematical Methods in the Applied Sciences 5 Advances in Computational Mathematics 4 Applied Mathematics and Computation 4 Calcolo 3 BIT 3 Applied Mathematical Modelling 3 Communications in Numerical Methods in Engineering 3 Journal of Numerical Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Mathematicae Applicatae Sinica. English Series 2 Real-Time Systems 2 Computational Geosciences 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 International Journal of Computational Methods 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 International Journal for Numerical Methods in Engineering 1 Numerical Functional Analysis and Optimization 1 Acta Applicandae Mathematicae 1 Computational Mechanics 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Computing and Visualization in Science 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Systems Science and Complexity 1 Multiscale Modeling & Simulation 1 Science China. Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 16 Fields 153 Numerical analysis (65-XX) 85 Partial differential equations (35-XX) 49 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year