Edit Profile Chen, Zhangxin Compute Distance To: Compute Author ID: chen.zhangxin Published as: Chen, Z.; Chen, Zh.; Chen, Zhang-Xin; Chen, Zhang-xin; Chen, Zhangxin; Chen, Zhangxing Homepage: https://schulich.ucalgary.ca/contacts/zhangxing-john-chen External Links: MGP · Wikidata · ORCID · GND Documents Indexed: 205 Publications since 1987, including 9 Books all top 5 Co-Authors 40 single-authored 31 Li, Jian 20 Ewing, Richard Edward 15 Huan, Guanren 12 Li, Baoyan 12 Liu, Hui 8 Gao, Yali 7 Chen, Hongsen 7 He, Yinnian 7 Liu, Xin 5 Li, Kaitai 5 Li, Rui 5 Yu, Song 4 Feng, Xinlong 4 He, Ruijian 4 Hsieh, Ben 4 Jiang, Qiaoyuan 4 Jing, Feifei 4 Khlopina, Natalia L. 4 Kwak, Do Young 4 Li, Kangshun 4 Mei, Liquan 4 Shao, Lei 3 Cockburn, Bernardo 3 Douglas, Jim jun. 3 Glowinski, Roland 3 He, Zhengkang 3 Li, Rui 3 Liu, Wenchao 3 Qin, Guan 3 Sun, Shuyu 3 Wang, Kun 3 Yao, Jun 3 Yu, Xijun 3 Zhu, Liping 2 Cai, Wentao 2 Chen, Jie 2 Cui, Ming 2 Cui, Yanli 2 Fan, Yingzhe 2 He, Xiaoming 2 Hou, Jiangyong 2 Lazarov, Raytcho D. 2 Li, Rui 2 Li, Rui 2 Li, Wenjun 2 Lyons, Stephen L. 2 Ma, Yuanle 2 Maliassov, Serguei 2 Savchuk, Tatyana Y. 2 Shen, Lihua 2 Shi, Zhongci 2 Spagnuolo, Anna Maria 2 Wang, Aiwen 2 Wang, Hemei 2 Wang, Zhen 2 Wang, Zhongxiao 2 Wu, Jianhua 2 Yan, Wenjing 2 Yang, Bo 2 Zhang, Wu 2 Zhang, Youqian 2 Zhao, Xin 1 Ahmadlouydarab, Majid 1 Arbogast, Todd 1 Azaiez, Jalel 1 Bastian, Peter 1 Carruthers, D. J. 1 Chen, Dawei 1 Chen, Jie 1 Chen, Jie 1 Chen, Jie 1 Chen, Jie 1 Chen, Yan 1 Chou, So-Hsiang 1 Chow, Shuinee 1 Chung, Tsz Shun Eric 1 Dong, Mingzhe 1 Espedal, Magne S. 1 Gao, Jinghuai 1 Gardner, Carl L. 1 Ge, Baoshan 1 Ge, Chenqi 1 Ghosal, Sayan 1 Guo, Shimin 1 Guo, Zhaolu 1 Harding, Thomas Grant 1 He, Guoliang 1 He, Jiwen 1 Helmig, Rainer 1 Jakobs, Hartmut 1 Jerome, Joseph W. 1 Ji, Dongqi 1 Kang, Lishan 1 Kuznetsov, Yurii Alekseevich 1 Lai, Fengpeng 1 Li, Jing 1 Li, Wei 1 Li, Zhiping 1 Lin, Xiaolin 1 Liu, Jiangguo ...and 46 more Co-Authors all top 5 Serials 17 Numerical Methods for Partial Differential Equations 15 Journal of Computational and Applied Mathematics 11 International Journal of Numerical Analysis and Modeling 11 International Journal of Numerical Analysis and Modeling. Series B 8 SIAM Journal on Numerical Analysis 7 Advances in Computational Mathematics 6 Computers & Mathematics with Applications 6 Computer Methods in Applied Mechanics and Engineering 5 Journal of Computational Physics 5 Numerische Mathematik 4 Mathematics of Computation 4 Journal of Computational Mathematics 4 East-West Journal of Numerical Mathematics 3 International Journal for Numerical Methods in Fluids 3 Computing 3 Applied Numerical Mathematics 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 International Journal of Computer Mathematics 3 Numerical Linear Algebra with Applications 2 Journal of Mathematical Analysis and Applications 2 Calcolo 2 Journal of Differential Equations 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 SIAM Journal on Applied Mathematics 2 Matemática Aplicada e Computacional 2 SIAM Journal on Scientific Computing 2 Communications in Applied Analysis 2 Computational Geosciences 2 Journal of Numerical Mathematics 2 Contemporary Mathematics 2 Acta Mechanica Sinica 1 Journal of Fluid Mechanics 1 Applied Mathematics and Computation 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applications of Mathematics 1 Numerical Algorithms 1 SIAM Journal on Mathematical Analysis 1 Applied Mathematics 1 Communications in Numerical Methods in Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 European Journal of Mechanics. B. Fluids 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Physics 1 Computational Science & Engineering 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA all top 5 Fields 145 Numerical analysis (65-XX) 117 Fluid mechanics (76-XX) 88 Partial differential equations (35-XX) 20 Geophysics (86-XX) 10 Mechanics of deformable solids (74-XX) 10 Optics, electromagnetic theory (78-XX) 8 Computer science (68-XX) 7 General and overarching topics; collections (00-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 145 Publications have been cited 1,459 times in 942 Documents Cited by ▼ Year ▼ Computational methods for multiphase flows in porous media. Zbl 1092.76001Chen, Zhangxin; Huan, Guanren; Ma, Yuanle 191 2006 Finite element methods and their applications. Zbl 1082.65118Chen, Zhangxin 77 2005 On the implementation of mixed methods as nonconforming methods for second-order elliptic problems. Zbl 0829.65127Arbogast, Todd; Chen, Zhangxin 68 1995 A new stabilized finite element method for the transient Navier-Stokes equations. Zbl 1169.76392Li, Jian; He, Yinnian; Chen, Zhangxin 67 2007 A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120Li, Jian; Chen, Zhangxin 49 2009 Expanded mixed finite element methods for linear second-order elliptic problems. I. Zbl 0910.65079Chen, Zhangxin 44 1998 Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution. Zbl 0991.35047Chen, Zhangxin 40 2001 Mathematical analysis for reservoir models. Zbl 0922.35074Chen, Zhangxin; Ewing, Richard 33 1999 Expanded mixed finite element methods for quasilinear second order elliptic problems. II. Zbl 0910.65080Chen, Zhangxin 33 1998 Reservoir simulation. Mathematical techniques in oil recovery. Zbl 1167.86001Chen, Zhangxin 30 2007 Pointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems. Zbl 1081.65102Chen, Zhangxin; Chen, Hongsen 30 2004 A new local stabilized nonconforming finite element method for the Stokes equations. Zbl 1155.65101Li, Jian; Chen, Zhangxin 28 2008 Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089Chen, Z.; Douglas, J. jun. 27 1989 Equivalence between and multigrid algorithms for nonconforming and mixed methods for second-order elliptic problems. Zbl 0932.65126Chen, Zhangxin 23 1996 Quantum hydrodynamic simulation of hysteresis in the resonant tunneling diode. Zbl 0833.76033Chen, Zhangxin; Cockburn, Bernardo; Gardner, Carl L.; Jerome, Joseph W. 21 1995 Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations. Zbl 1275.76163Li, Jian; Shen, Lihua; Chen, Zhangxin 18 2010 Degenerate two-phase incompressible flow. III: Sharp error estimates. Zbl 1097.76064Chen, Zhangxin; Ewing, Richard E. 18 2001 BDM mixed methods for a nonlinear elliptic problem. Zbl 0819.65129Chen, Zhangxin 18 1994 Analysis of mixed methods using conforming and nonconforming finite element methods. Zbl 0784.65075Chen, Zhangxin 18 1993 A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem. Zbl 1329.76181Li, Rui; Li, Jian; Chen, Zhangxin; Gao, Yali 17 2016 Degenerate two-phase incompressible flow. II: regularity, stability and stabilization. Zbl 1073.35129Chen, Zhangxin 17 2002 Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Zbl 1176.65136Li, Jian; He, Yinnian; Chen, Zhangxin 16 2009 Comparison of various formulations of three-phase flow in porous media. Zbl 0880.76089Chen, Zhangxin; Ewing, Richard E. 16 1997 A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. Zbl 1366.76062Li, Jian; Chen, Zhangxin; He, Yinnian 15 2012 Multigrid and multilevel methods for nonconforming \(Q_1\) elements. Zbl 0893.65060Chen, Zhangxin; Oswald, Peter 15 1998 Fully discrete finite element analysis of multiphase flow in groundwater hydrology. Zbl 0901.76031Chen, Zhangxin; Ewing, Richard E. 15 1997 Well flow models for various numerical methods. Zbl 1158.76393Chen, Zhangxin; Zhang, Youqian 14 2009 Error analysis for characteristics-based methods for degenerate parabolic problems. Zbl 1024.65091Chen, Zhangxin; Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M. 14 2002 On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018Chen, Zhangxin 13 2006 Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems. Zbl 1028.76024Chen, Zhangxin 13 2002 A weak Galerkin finite element method for the Oseen equations. Zbl 1426.76286Liu, Xin; Li, Jian; Chen, Zhangxin 12 2016 Optimal \(L^2\), \(H^1\) and \(L^{\infty}\) analysis of finite volume methods for the stationary Navier-Stokes equations with large data. Zbl 1346.76086Li, Jian; Chen, Zhangxin 12 2014 A penalty finite volume method for the transient Navier-Stokes equations. Zbl 1148.76038He, Guoliang; He, Yinnian; Chen, Zhangxin 12 2008 Analysis of a compositional model for fluid flow in porous media. Zbl 0953.35071Chen, Zhangxin; Qin, Guan; Ewing, Richard E. 12 2000 Continuous-time finite element analysis of multiphase flow in groundwater hydrology. Zbl 0847.76030Chen, Zhangxin; Espedal, Magne; Ewing, Richard E. 12 1995 Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093Chen, Zhangxin; Douglas, Jim jun. 12 1991 On the relationship of various discontinuous finite element methods for second-order elliptic equations. Zbl 0986.65110Chen, Zh. 11 2001 Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho 11 1996 Numerical simulation of multiphase flow in fractured porous media. Zbl 1072.76575Bastian, Peter; Chen, Zhangxin; Ewing, Richard E.; Helmig, Rainer; Jakobs, Hartmut; Reichenberger, Volker 10 2000 The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117Liu, Xin; Chen, Zhangxin 9 2019 Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young 9 2006 Multigrid algorithms for nonconforming and mixed methods for nonsymmetric and indefinite problems. Zbl 0918.65077Chen, Zhangxin; Kwak, Do Y.; Yon, Yoon J. 9 1998 Analysis of a finite element method for the drift-diffusion semiconductor device equations: The multidimensional case. Zbl 0830.65116Chen, Zhangxin; Cockburn, Bernardo 9 1995 Projection finite element methods for semiconductor device equations. Zbl 0772.65081Chen, Zhangxin 9 1993 A stabilized finite volume element method for a coupled Stokes-Darcy problem. Zbl 1404.65221Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin 8 2018 Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052Shen, Lihua; Li, Jian; Chen, Zhangxin 8 2009 Numerical analysis of a modified finite element nonlinear Galerkin method. Zbl 1059.65088He, Yinnian; Miao, Huanling; Mattheij, R. M. M.; Chen, Zhangxin 8 2004 Analysis of expanded mixed methods for fourth-order elliptic problems. Zbl 0882.65097Chen, Zhangxin 8 1997 Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. Zbl 1394.65131Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin 7 2018 A weak Galerkin finite element method for the Navier-Stokes equations. Zbl 1395.76040Liu, Xin; Li, Jian; Chen, Zhangxin 7 2018 A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations. Zbl 1350.76035Zhu, Liping; Li, Jian; Chen, Zhangxin 7 2011 On the existence, uniqueness and convergence of nonlinear mixed finite element methods. Zbl 0709.65080Chen, Z. 7 1989 First-order decoupled finite element method of the three-dimensional primitive equations of the ocean. Zbl 1334.76079He, Yinnian; Zhang, Yan; Xu, Hui; Chen, Zhangxin 6 2016 Stabilized finite element methods for a blood flow model of arteriosclerosis. Zbl 1371.92039Jing, Feifei; Li, Jian; Chen, Zhangxin 6 2015 Characteristic-nonconforming finite-element methods for advection-dominated diffusion problems. Zbl 1118.65103Chen, Zhangxin 6 2004 Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094Chen, H.; Chen, Z. 6 2003 Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation. Zbl 1377.65117Cai, Wentao; Li, Jian; Chen, Zhangxin 5 2018 A nonconforming virtual element method for the Stokes problem on general meshes. Zbl 1439.76085Liu, Xin; Li, Jian; Chen, Zhangxin 5 2017 Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type. Zbl 06789941Jing, Feifei; Li, Jian; Chen, Zhangxin; Yan, Wenjing 5 2017 A weak Galerkin finite element method for a coupled Stokes-Darcy problem. Zbl 1439.76084Li, Rui; Li, Jian; Liu, Xin; Chen, Zhangxin 5 2017 Unconditional convergence and optimal error estimates of the Euler semi-implicit scheme for a generalized nonlinear Schrödinger equation. Zbl 1355.65115Cai, Wentao; Li, Jian; Chen, Zhangxin 5 2016 Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media. Zbl 1382.76166Hou, Jiangyong; Chen, Jie; Sun, Shuyu; Chen, Zhangxin 5 2016 Analytical solution of a double moving boundary problem for nonlinear flows in one-dimensional semi-infinite long porous media with low permeability. Zbl 1346.76193Liu, Wen-Chao; Yao, Jun; Chen, Zhang-Xin 5 2014 Analysis of the multiscale finite element method for nonlinear and random homogenization problems. Zbl 1170.35007Chen, Zhangxin; Savchuk, Tatyana Y. 5 2008 An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. Zbl 1134.76385He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai 5 2003 Integrated two-dimensional modeling of fluid flow and compaction in a sedimentary basin. Zbl 1094.76533Chen, Zhangxin; Ewing, Richard E.; Lu, Hao; Lyons, Stephen L.; Maliassov, Serguei; Ray, Michael B.; Sun, Tong 5 2002 On the convergence of Galerkin-multigrid methods for nonconforming finite elements. Zbl 0946.65099Chen, Z. 5 1999 The analysis of intergrid transfer operators and multigrid methods for nonconforming finite elements. Zbl 0890.65126Chen, Zhangxin 5 1997 Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. 5 1996 A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes. Zbl 1457.76101Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin 4 2018 A family of constrained pressure residual preconditioners for parallel reservoir simulations. Zbl 1413.65045Liu, Hui; Wang, Kun; Chen, Zhangxin 4 2016 A scalable parallel black oil simulator on distributed memory parallel computers. Zbl 1349.76833Wang, Kun; Liu, Hui; Chen, Zhangxin 4 2015 Numerical study using explicit multistep Galerkin finite element method for the MRLW equation. Zbl 1334.65158Mei, Liquan; Gao, Yali; Chen, Zhangxin 4 2015 On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations. Zbl 1278.35178Li, Jian; Chen, Zhangxin 4 2013 The multiscale finite element method with nonconforming elements for elliptic homogenization problems. Zbl 1191.35038Chen, Zhangxin; Cui, Ming; Savchuk, Tatyana Y.; Yu, Xijun 4 2008 Multiscale methods for elliptic homogenization problems. Zbl 1091.65113Chen, Zhangxin 4 2006 Simulation of a compositional model for multiphase flow in porous media. Zbl 1103.76038Chen, Zhangxin; Huan, Guanren; Wang, Hemei 4 2005 The sequential method for the black-oil reservoir simulation on unstructured grids. Zbl 1047.76099Li, Baoyan; Chen, Zhangxin; Huan, Guanren 4 2003 Degenerate two-phase incompressible flow. IV: Local refinement and domain decomposition. Zbl 1032.76590Chen, Z.; Ewing, R. E. 4 2003 Numerical study of the \(hp\) version of mixed discontinuous finite element methods for reaction-diffusion problems: The 1D case. Zbl 1062.65103Chen, Hongsen; Chen, Zhangxin; Li, Baoyan 4 2003 Formulations and numerical methods of the black oil model in porous media. Zbl 0984.76042Chen, Zhangxin 4 2000 Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin 3 2020 A virtual element method for the Cahn-Hilliard problem in mixed form. Zbl 1410.65375Liu, Xin; Chen, Zhangxin 3 2019 Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1415.76455Jing, Feifei; Li, Jian; Chen, Zhangxin; Zhang, Zhonghua 3 2017 Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209He, Ruijian; Chen, Zhangxin; Feng, Xinlong 3 2017 Adaptive stabilized mixed finite volume methods for the incompressible flow. Zbl 1338.76076Li, Jian; Chen, Zhangxin; Zhang, Tong 3 2015 Stability and numerical dispersion analysis of finite difference method for the diffusive-viscous wave equation. Zbl 06599718Zhao, Haixia; Gao, Jinghuai; Chen, Zhangxin 3 2014 Numerical solution of a moving boundary problem of one-dimensional flow in semi-infinite long porous media with threshold pressure gradient. Zbl 1296.76152Yao, Jun; Liu, Wenchao; Chen, Zhangxin 3 2013 Sparse matrix-vector multiplication on NVIDIA GPU. Zbl 1260.65039Liu, Hui; Yu, Song; Chen, Zhangxin; Hsieh, Ben; Shao, Lei 3 2012 Electromigration dispersion in a capillary in the presence of electro-osmotic flow. Zbl 1250.76185Ghosal, S.; Chen, Z. 3 2012 Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh \(L^2\) projection. Zbl 1234.65038Li, Jian; Mei, Liquan; Chen, Zhangxin 3 2012 Implementation of mixed methods as finite difference methods and applications to nonisothermal multiphase flow in porous media. Zbl 1200.76130Chen, Zhangxin; Yu, Xijun 3 2006 Parallel computation for reservoir thermal simulation of multicomponent and multiphase fluid flow. Zbl 1195.76392Ma, Yuanle; Chen, Zhangxin 3 2004 Degenerate two-phase incompressible flow. V: Characteristic finite element methods. Zbl 1077.76527Chen, Z.; Ewing, R. E.; Jiang, Q.; Spagnuolo, A. M. 3 2002 Fluid flow and transport in porous media: mathematical and numerical treatment. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 17–21, 2001. Zbl 0991.00049Chen, Zhangxin (ed.); Ewing, Richard E. (ed.) 3 2002 Convergence of multigrid methods for nonconforming finite elements without regularity assumptions. Zbl 0920.65072Chen, Zhangxin; Kwak, Do Y. 3 1998 A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis. Zbl 07085957Li, Jian; Jing, Feifei; Chen, Zhangxin; Lin, Xiaolin 2 2020 A Crank-Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. Zbl 1432.76178Li, Rui; Gao, Yali; Yan, Wenjing; Chen, Zhangxin 2 2019 \(H^1\)-superconvergence of a difference finite element method based on the \(P_1-P_1\)-conforming element on non-uniform meshes for the 3D Poisson equation. Zbl 06864181He, Ruijian; Feng, Xinlong; Chen, Zhangxin 2 2018 GPU-based parallel reservoir simulators. Zbl 1380.86003Chen, Zhangxin; Liu, Hui; Yu, Song; Hsieh, Ben; Shao, Lei 2 2014 Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin 3 2020 A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis. Zbl 07085957Li, Jian; Jing, Feifei; Chen, Zhangxin; Lin, Xiaolin 2 2020 Efficient linear schemes with unconditional energy stability for the phase field model of solid-state dewetting problems. Zbl 07295201Chen, Jie; He, Zhengkang; Sun, Shuyu; Guo, Shimin; Chen, Zhangxin 1 2020 \(H^1\)-superconvergence of finite difference method based on \(Q_1\)-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137Feng, Xinlong; He, Ruijian; Chen, Zhangxin 1 2020 The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117Liu, Xin; Chen, Zhangxin 9 2019 A virtual element method for the Cahn-Hilliard problem in mixed form. Zbl 1410.65375Liu, Xin; Chen, Zhangxin 3 2019 A Crank-Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. Zbl 1432.76178Li, Rui; Gao, Yali; Yan, Wenjing; Chen, Zhangxin 2 2019 A stabilized finite volume element method for a coupled Stokes-Darcy problem. Zbl 1404.65221Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin 8 2018 Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. Zbl 1394.65131Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin 7 2018 A weak Galerkin finite element method for the Navier-Stokes equations. Zbl 1395.76040Liu, Xin; Li, Jian; Chen, Zhangxin 7 2018 Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation. Zbl 1377.65117Cai, Wentao; Li, Jian; Chen, Zhangxin 5 2018 A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes. Zbl 1457.76101Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin 4 2018 \(H^1\)-superconvergence of a difference finite element method based on the \(P_1-P_1\)-conforming element on non-uniform meshes for the 3D Poisson equation. Zbl 06864181He, Ruijian; Feng, Xinlong; Chen, Zhangxin 2 2018 A nonconforming virtual element method for the Stokes problem on general meshes. Zbl 1439.76085Liu, Xin; Li, Jian; Chen, Zhangxin 5 2017 Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type. Zbl 06789941Jing, Feifei; Li, Jian; Chen, Zhangxin; Yan, Wenjing 5 2017 A weak Galerkin finite element method for a coupled Stokes-Darcy problem. Zbl 1439.76084Li, Rui; Li, Jian; Liu, Xin; Chen, Zhangxin 5 2017 Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1415.76455Jing, Feifei; Li, Jian; Chen, Zhangxin; Zhang, Zhonghua 3 2017 Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209He, Ruijian; Chen, Zhangxin; Feng, Xinlong 3 2017 A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem. Zbl 1329.76181Li, Rui; Li, Jian; Chen, Zhangxin; Gao, Yali 17 2016 A weak Galerkin finite element method for the Oseen equations. Zbl 1426.76286Liu, Xin; Li, Jian; Chen, Zhangxin 12 2016 First-order decoupled finite element method of the three-dimensional primitive equations of the ocean. Zbl 1334.76079He, Yinnian; Zhang, Yan; Xu, Hui; Chen, Zhangxin 6 2016 Unconditional convergence and optimal error estimates of the Euler semi-implicit scheme for a generalized nonlinear Schrödinger equation. Zbl 1355.65115Cai, Wentao; Li, Jian; Chen, Zhangxin 5 2016 Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media. Zbl 1382.76166Hou, Jiangyong; Chen, Jie; Sun, Shuyu; Chen, Zhangxin 5 2016 A family of constrained pressure residual preconditioners for parallel reservoir simulations. Zbl 1413.65045Liu, Hui; Wang, Kun; Chen, Zhangxin 4 2016 Liquid bridge’s behavior inside microchannels subject to external pulsatile flow. Zbl 1408.76235Ahmadlouydarab, Majid; Azaiez, Jalel; Chen, Zhangxin 1 2016 Stabilized finite element methods for a blood flow model of arteriosclerosis. Zbl 1371.92039Jing, Feifei; Li, Jian; Chen, Zhangxin 6 2015 A scalable parallel black oil simulator on distributed memory parallel computers. Zbl 1349.76833Wang, Kun; Liu, Hui; Chen, Zhangxin 4 2015 Numerical study using explicit multistep Galerkin finite element method for the MRLW equation. Zbl 1334.65158Mei, Liquan; Gao, Yali; Chen, Zhangxin 4 2015 Adaptive stabilized mixed finite volume methods for the incompressible flow. Zbl 1338.76076Li, Jian; Chen, Zhangxin; Zhang, Tong 3 2015 Accelerating iterative linear solvers using multiple graphical processing units. Zbl 1317.65267Chen, Zhangxin; Liu, Hui; Yang, Bo 1 2015 Optimal \(L^2\), \(H^1\) and \(L^{\infty}\) analysis of finite volume methods for the stationary Navier-Stokes equations with large data. Zbl 1346.76086Li, Jian; Chen, Zhangxin 12 2014 Analytical solution of a double moving boundary problem for nonlinear flows in one-dimensional semi-infinite long porous media with low permeability. Zbl 1346.76193Liu, Wen-Chao; Yao, Jun; Chen, Zhang-Xin 5 2014 Stability and numerical dispersion analysis of finite difference method for the diffusive-viscous wave equation. Zbl 06599718Zhao, Haixia; Gao, Jinghuai; Chen, Zhangxin 3 2014 GPU-based parallel reservoir simulators. Zbl 1380.86003Chen, Zhangxin; Liu, Hui; Yu, Song; Hsieh, Ben; Shao, Lei 2 2014 Numerical comparison of robustness of some reduction methods in rough grids. Zbl 1308.76167Hou, Jiangyong; Sun, Shuyu; Chen, Zhangxin 2 2014 A Galerkin finite element method for numerical solutions of the modified regularized long wave equation. Zbl 07022395Mei, Liquan; Gao, Yali; Chen, Zhangxin 1 2014 Accelerating preconditioned iterative linear solvers on GPU. Zbl 06599723Liu, Hui; Chen, Zhangxin; Yang, Bo 1 2014 On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations. Zbl 1278.35178Li, Jian; Chen, Zhangxin 4 2013 Numerical solution of a moving boundary problem of one-dimensional flow in semi-infinite long porous media with threshold pressure gradient. Zbl 1296.76152Yao, Jun; Liu, Wenchao; Chen, Zhangxin 3 2013 Analysis of the pressure projection stabilization method for the Darcy and coupled Darcy-Stokes flows. Zbl 1393.76062Chen, Zhangxin; Wang, Zhen; Zhu, Liping; Li, Jian 2 2013 Reservoir simulation on NVIDIA tesla GPUs. Zbl 1278.86001Chen, Zhangxin; Liu, Hui; Yu, Song; Hsieh, Ben; Shao, Lei 2 2013 A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. Zbl 1366.76062Li, Jian; Chen, Zhangxin; He, Yinnian 15 2012 Sparse matrix-vector multiplication on NVIDIA GPU. Zbl 1260.65039Liu, Hui; Yu, Song; Chen, Zhangxin; Hsieh, Ben; Shao, Lei 3 2012 Electromigration dispersion in a capillary in the presence of electro-osmotic flow. Zbl 1250.76185Ghosal, S.; Chen, Z. 3 2012 Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh \(L^2\) projection. Zbl 1234.65038Li, Jian; Mei, Liquan; Chen, Zhangxin 3 2012 A stabilized nonconforming quadrilateral finite element method for the generalized Stokes equations. Zbl 1277.76020Wang, Zhen; Chen, Zhangxin; Li, Jian 2 2012 Superconvergence of stabilized low order finite volume approximation for the three-dimensional stationary Navier-Stokes equations. Zbl 1277.76018Li, Jian; Wu, Jianhua; Chen, Zhangxin; Wang, Aiwen 2 2012 A hybrid particle swarm optimization algorithm based on space transformation search and a modified velocity model. Zbl 1279.65082Yu, Song; Wu, Zhijian; Wang, Hui; Chen, Zhangxin; Zhong, He 1 2012 Reliable and efficient error control for an adaptive Galerkin-characteristic method for convection-dominated diffusion problems. Zbl 1262.65118Cui, Ming; Chen, Zhangxin; Ewing, Richard E.; Qin, Guan; Chen, Hongsen 1 2012 A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations. Zbl 1350.76035Zhu, Liping; Li, Jian; Chen, Zhangxin 7 2011 A stabilized mixed finite element method for single-phase compressible flow. Zbl 1204.76022Zhang, Liyun; Chen, Zhangxin 2 2011 The Runge-Kutta control volume discontinuous finite element method for systems of hyperbolic conservation laws. Zbl 1252.65165Chen, Dawei; Yu, Xijun; Chen, Zhangxin 1 2011 The finite element method. Its fundamentals and applications in engineering. Zbl 1240.74001Chen, Zhangxin 1 2011 Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations. Zbl 1275.76163Li, Jian; Shen, Lihua; Chen, Zhangxin 18 2010 A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120Li, Jian; Chen, Zhangxin 49 2009 Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Zbl 1176.65136Li, Jian; He, Yinnian; Chen, Zhangxin 16 2009 Well flow models for various numerical methods. Zbl 1158.76393Chen, Zhangxin; Zhang, Youqian 14 2009 Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052Shen, Lihua; Li, Jian; Chen, Zhangxin 8 2009 On the heterogeneous multiscale method with various macroscopic solvers. Zbl 1178.35025Chen, Zhangxin 2 2009 A new local stabilized nonconforming finite element method for the Stokes equations. Zbl 1155.65101Li, Jian; Chen, Zhangxin 28 2008 A penalty finite volume method for the transient Navier-Stokes equations. Zbl 1148.76038He, Guoliang; He, Yinnian; Chen, Zhangxin 12 2008 Analysis of the multiscale finite element method for nonlinear and random homogenization problems. Zbl 1170.35007Chen, Zhangxin; Savchuk, Tatyana Y. 5 2008 The multiscale finite element method with nonconforming elements for elliptic homogenization problems. Zbl 1191.35038Chen, Zhangxin; Cui, Ming; Savchuk, Tatyana Y.; Yu, Xijun 4 2008 Development, analysis and numerical tests of a compositional reservoir simulator. Zbl 1242.76319Chen, Zhangxin; Zhang, Youqian 2 2008 A new stabilized finite element method for the transient Navier-Stokes equations. Zbl 1169.76392Li, Jian; He, Yinnian; Chen, Zhangxin 67 2007 Reservoir simulation. Mathematical techniques in oil recovery. Zbl 1167.86001Chen, Zhangxin 30 2007 Homogenization and simulation for compositional flow in naturally fractured reservoirs. Zbl 1153.76404Chen, Zhangxin 2 2007 A particle gradient evolutionary algorithm for solving multi-objective problems. Zbl 1114.65332Li, Kangshun; Yue, Xuezhi; Kang, Lishan; Chen, Zhangxin 1 2007 Computational methods for multiphase flows in porous media. Zbl 1092.76001Chen, Zhangxin; Huan, Guanren; Ma, Yuanle 191 2006 On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018Chen, Zhangxin 13 2006 Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young 9 2006 Multiscale methods for elliptic homogenization problems. Zbl 1091.65113Chen, Zhangxin 4 2006 Implementation of mixed methods as finite difference methods and applications to nonisothermal multiphase flow in porous media. Zbl 1200.76130Chen, Zhangxin; Yu, Xijun 3 2006 Computer simulation of compositional flow using unstructured control volume finite element methods. Zbl 1098.76041Chen, Zhangxin; Huan, Guanren; Wang, H. 1 2006 Finite element methods and their applications. Zbl 1082.65118Chen, Zhangxin 77 2005 Simulation of a compositional model for multiphase flow in porous media. Zbl 1103.76038Chen, Zhangxin; Huan, Guanren; Wang, Hemei 4 2005 Current trends in high performance computing and its applications. Proceedings of the international conference on high performance computing and applications, Shanghai, P. R. China, August 8–10, 2004. Zbl 1092.68548Zhang, Wu (ed.); Chen, Z. (ed.); Glowinski, R. (ed.); Tong, W. (ed.) 1 2005 Pointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems. Zbl 1081.65102Chen, Zhangxin; Chen, Hongsen 30 2004 Numerical analysis of a modified finite element nonlinear Galerkin method. Zbl 1059.65088He, Yinnian; Miao, Huanling; Mattheij, R. M. M.; Chen, Zhangxin 8 2004 Characteristic-nonconforming finite-element methods for advection-dominated diffusion problems. Zbl 1118.65103Chen, Zhangxin 6 2004 Parallel computation for reservoir thermal simulation of multicomponent and multiphase fluid flow. Zbl 1195.76392Ma, Yuanle; Chen, Zhangxin 3 2004 Comparison of solution schemes for black oil reservoir simulations with unstructured grids. Zbl 1075.76607Li, Baoyan; Chen, Zhangxin; Huan, Guanren 2 2004 The mechanical behavior of a poroelastic medium saturated with a Newtonian fluid. Zbl 1067.35011Chen, Zhangxin; Lyons, Stephen L.; Qin, Guan 1 2004 Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094Chen, H.; Chen, Z. 6 2003 An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. Zbl 1134.76385He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai 5 2003 The sequential method for the black-oil reservoir simulation on unstructured grids. Zbl 1047.76099Li, Baoyan; Chen, Zhangxin; Huan, Guanren 4 2003 Degenerate two-phase incompressible flow. IV: Local refinement and domain decomposition. Zbl 1032.76590Chen, Z.; Ewing, R. E. 4 2003 Numerical study of the \(hp\) version of mixed discontinuous finite element methods for reaction-diffusion problems: The 1D case. Zbl 1062.65103Chen, Hongsen; Chen, Zhangxin; Li, Baoyan 4 2003 Modeling 2D and 3D horizontal wells using CVFA. Zbl 1082.76071Chen, Zhangxin; Huan, Guanren; Li, Baoyan 1 2003 The \(hp\) version of Eulerian-Lagrangian mixed discontinuous finite element methods for advection-diffusion problems. Zbl 1028.65105Chen, Hongsen; Chen, Zhangxin; Li, Baoyan 1 2003 Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Zbl 1024.00037Chen, Zhangxin (ed.); Glowinski, Roland (ed.); Li, Kaitai (ed.) 1 2003 Degenerate two-phase incompressible flow. II: regularity, stability and stabilization. Zbl 1073.35129Chen, Zhangxin 17 2002 Error analysis for characteristics-based methods for degenerate parabolic problems. Zbl 1024.65091Chen, Zhangxin; Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M. 14 2002 Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems. Zbl 1028.76024Chen, Zhangxin 13 2002 Integrated two-dimensional modeling of fluid flow and compaction in a sedimentary basin. Zbl 1094.76533Chen, Zhangxin; Ewing, Richard E.; Lu, Hao; Lyons, Stephen L.; Maliassov, Serguei; Ray, Michael B.; Sun, Tong 5 2002 Degenerate two-phase incompressible flow. V: Characteristic finite element methods. Zbl 1077.76527Chen, Z.; Ewing, R. E.; Jiang, Q.; Spagnuolo, A. M. 3 2002 Fluid flow and transport in porous media: mathematical and numerical treatment. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 17–21, 2001. Zbl 0991.00049Chen, Zhangxin (ed.); Ewing, Richard E. (ed.) 3 2002 Applications of the control volume function approximation method to reservoir simulations. Zbl 1102.76321Huan, Guanren; Chen, Zhangxin; Li, Baoyan 1 2002 Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution. Zbl 0991.35047Chen, Zhangxin 40 2001 Degenerate two-phase incompressible flow. III: Sharp error estimates. Zbl 1097.76064Chen, Zhangxin; Ewing, Richard E. 18 2001 ...and 45 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,418 Authors 74 Chen, Zhangxin 41 Li, Jian 38 He, Yinnian 26 Sun, Shuyu 25 Feng, Xinlong 20 Wheeler, Mary Fanett 19 Vohralík, Martin 18 Huang, Pengzhan 15 Mei, Liquan 15 Shi, Dongyang 14 Li, Hong 13 Kou, Jisheng 13 Si, Zhiyong 12 Amaziane, Brahim 12 Luo, Zhendong 12 Wang, Kun 11 Chen, Yanping 11 Eymard, Robert 11 Hou, Yanren 10 Cockburn, Bernardo 10 Feng, Minfu 10 Zheng, Haibiao 9 Arbogast, Todd 9 Chen, Jinru 9 Ewing, Richard Edward 9 Liu, Yang 9 Nordbotten, Jan Martin 9 Zhang, Tie 8 Bi, Chunjia 8 Gao, Yali 8 He, Siriguleng 8 He, Xiaoming 8 Huang, Yunqing 8 Jing, Feifei 8 Jurak, Mladen 8 Lin, Tao 8 Schweizer, Ben 8 Yotov, Ivan 8 Zhang, Tong 8 Zhao, Xin 7 Abreu, Eduardo 7 Helmig, Rainer 7 Kwak, Do Young 7 Li, Rui 7 Lin, Yanping 7 Pani, Amiya Kumar 7 Pop, Iuliu Sorin 6 Di Pietro, Daniele Antonio 6 Droniou, Jérôme 6 Fang, Zhichao 6 Ginting, Victor 6 Jia, Hongen 6 Lee, Sanghyun 6 Li, Kaitai 6 Liu, Hui 6 Pankratov, Leonid S. 6 Park, Eun-Jae 6 Wang, Hong 6 Xie, Hehu 5 Chen, Hongsen 5 Ern, Alexandre 5 Flemisch, Bernd 5 Gao, Wei 5 Gatica, Gabriel N. 5 Keilegavlen, Eirik 5 Kumar, Sarvesh 5 Li, Jichun 5 Li, Likang 5 Liang, Dong 5 Liu, Jiangguo 5 Radu, Florin Adrian 5 Ruiz-Baier, Ricardo 5 Shang, Yueqiang 5 Tchelepi, Hamdi A. 5 Walkington, Noel J. 5 Yan, Wenjing 5 Zhang, Yongchao 4 Abdulle, Assyr 4 Achchab, Boujemaa 4 Cancès, Clément 4 Chainais-Hillairet, Claire 4 Chen, Chuanjun 4 Chen, Huangxin 4 Chen, Huanzhen 4 Chen, Shaochun 4 Du, Guangzhi 4 El Ossmani, Mustapha 4 Formaggia, Luca 4 Martínez Gamba, Irene 4 Guzmán, Johnny 4 Han, Weimin 4 Hu, Hanzhang 4 Japhet, Caroline 4 Jiang, Ziwen 4 Jo, Gwanghyun 4 Liu, Demin 4 Liu, Wei 4 Masson, Roland 4 Mu, Lin 4 Nakshatrala, K. 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