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## Chen, Zhangxin

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 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
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#### 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
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#### 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
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#### 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)

#### 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 1092.76001
Chen, Zhangxin; Huan, Guanren; Ma, Yuanle
2006
Finite element methods and their applications. Zbl 1082.65118
Chen, Zhangxin
2005
On the implementation of mixed methods as nonconforming methods for second-order elliptic problems. Zbl 0829.65127
Arbogast, Todd; Chen, Zhangxin
1995
A new stabilized finite element method for the transient Navier-Stokes equations. Zbl 1169.76392
Li, Jian; He, Yinnian; Chen, Zhangxin
2007
A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120
Li, Jian; Chen, Zhangxin
2009
Expanded mixed finite element methods for linear second-order elliptic problems. I. Zbl 0910.65079
Chen, Zhangxin
1998
Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution. Zbl 0991.35047
Chen, Zhangxin
2001
Mathematical analysis for reservoir models. Zbl 0922.35074
Chen, Zhangxin; Ewing, Richard
1999
Expanded mixed finite element methods for quasilinear second order elliptic problems. II. Zbl 0910.65080
Chen, Zhangxin
1998
Reservoir simulation. Mathematical techniques in oil recovery. Zbl 1167.86001
Chen, Zhangxin
2007
Pointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems. Zbl 1081.65102
Chen, Zhangxin; Chen, Hongsen
2004
A new local stabilized nonconforming finite element method for the Stokes equations. Zbl 1155.65101
Li, Jian; Chen, Zhangxin
2008
Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089
Chen, Z.; Douglas, J. jun.
1989
Equivalence between and multigrid algorithms for nonconforming and mixed methods for second-order elliptic problems. Zbl 0932.65126
Chen, Zhangxin
1996
Quantum hydrodynamic simulation of hysteresis in the resonant tunneling diode. Zbl 0833.76033
Chen, Zhangxin; Cockburn, Bernardo; Gardner, Carl L.; Jerome, Joseph W.
1995
Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations. Zbl 1275.76163
Li, Jian; Shen, Lihua; Chen, Zhangxin
2010
Degenerate two-phase incompressible flow. III: Sharp error estimates. Zbl 1097.76064
Chen, Zhangxin; Ewing, Richard E.
2001
BDM mixed methods for a nonlinear elliptic problem. Zbl 0819.65129
Chen, Zhangxin
1994
Analysis of mixed methods using conforming and nonconforming finite element methods. Zbl 0784.65075
Chen, Zhangxin
1993
A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem. Zbl 1329.76181
Li, Rui; Li, Jian; Chen, Zhangxin; Gao, Yali
2016
Degenerate two-phase incompressible flow. II: regularity, stability and stabilization. Zbl 1073.35129
Chen, Zhangxin
2002
Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Zbl 1176.65136
Li, Jian; He, Yinnian; Chen, Zhangxin
2009
Comparison of various formulations of three-phase flow in porous media. Zbl 0880.76089
Chen, Zhangxin; Ewing, Richard E.
1997
A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. Zbl 1366.76062
Li, Jian; Chen, Zhangxin; He, Yinnian
2012
Multigrid and multilevel methods for nonconforming $$Q_1$$ elements. Zbl 0893.65060
Chen, Zhangxin; Oswald, Peter
1998
Fully discrete finite element analysis of multiphase flow in groundwater hydrology. Zbl 0901.76031
Chen, Zhangxin; Ewing, Richard E.
1997
Well flow models for various numerical methods. Zbl 1158.76393
Chen, Zhangxin; Zhang, Youqian
2009
Error analysis for characteristics-based methods for degenerate parabolic problems. Zbl 1024.65091
Chen, Zhangxin; Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M.
2002
On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018
Chen, Zhangxin
2006
Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems. Zbl 1028.76024
Chen, Zhangxin
2002
A weak Galerkin finite element method for the Oseen equations. Zbl 1426.76286
Liu, Xin; Li, Jian; Chen, Zhangxin
2016
Optimal $$L^2$$, $$H^1$$ and $$L^{\infty}$$ analysis of finite volume methods for the stationary Navier-Stokes equations with large data. Zbl 1346.76086
Li, Jian; Chen, Zhangxin
2014
A penalty finite volume method for the transient Navier-Stokes equations. Zbl 1148.76038
He, Guoliang; He, Yinnian; Chen, Zhangxin
2008
Analysis of a compositional model for fluid flow in porous media. Zbl 0953.35071
Chen, Zhangxin; Qin, Guan; Ewing, Richard E.
2000
Continuous-time finite element analysis of multiphase flow in groundwater hydrology. Zbl 0847.76030
Chen, Zhangxin; Espedal, Magne; Ewing, Richard E.
1995
Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093
Chen, Zhangxin; Douglas, Jim jun.
1991
On the relationship of various discontinuous finite element methods for second-order elliptic equations. Zbl 0986.65110
Chen, Zh.
2001
Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088
Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho
1996
Numerical simulation of multiphase flow in fractured porous media. Zbl 1072.76575
Bastian, Peter; Chen, Zhangxin; Ewing, Richard E.; Helmig, Rainer; Jakobs, Hartmut; Reichenberger, Volker
2000
The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117
Liu, Xin; Chen, Zhangxin
2019
Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479
Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young
2006
Multigrid algorithms for nonconforming and mixed methods for nonsymmetric and indefinite problems. Zbl 0918.65077
Chen, Zhangxin; Kwak, Do Y.; Yon, Yoon J.
1998
Analysis of a finite element method for the drift-diffusion semiconductor device equations: The multidimensional case. Zbl 0830.65116
Chen, Zhangxin; Cockburn, Bernardo
1995
Projection finite element methods for semiconductor device equations. Zbl 0772.65081
Chen, Zhangxin
1993
A stabilized finite volume element method for a coupled Stokes-Darcy problem. Zbl 1404.65221
Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin
2018
Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052
Shen, Lihua; Li, Jian; Chen, Zhangxin
2009
Numerical analysis of a modified finite element nonlinear Galerkin method. Zbl 1059.65088
He, Yinnian; Miao, Huanling; Mattheij, R. M. M.; Chen, Zhangxin
2004
Analysis of expanded mixed methods for fourth-order elliptic problems. Zbl 0882.65097
Chen, Zhangxin
1997
Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. Zbl 1394.65131
Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin
2018
A weak Galerkin finite element method for the Navier-Stokes equations. Zbl 1395.76040
Liu, Xin; Li, Jian; Chen, Zhangxin
2018
A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations. Zbl 1350.76035
Zhu, Liping; Li, Jian; Chen, Zhangxin
2011
On the existence, uniqueness and convergence of nonlinear mixed finite element methods. Zbl 0709.65080
Chen, Z.
1989
First-order decoupled finite element method of the three-dimensional primitive equations of the ocean. Zbl 1334.76079
He, Yinnian; Zhang, Yan; Xu, Hui; Chen, Zhangxin
2016
Stabilized finite element methods for a blood flow model of arteriosclerosis. Zbl 1371.92039
Jing, Feifei; Li, Jian; Chen, Zhangxin
2015
Characteristic-nonconforming finite-element methods for advection-dominated diffusion problems. Zbl 1118.65103
Chen, Zhangxin
2004
Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094
Chen, H.; Chen, Z.
2003
Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation. Zbl 1377.65117
Cai, Wentao; Li, Jian; Chen, Zhangxin
2018
A nonconforming virtual element method for the Stokes problem on general meshes. Zbl 1439.76085
Liu, Xin; Li, Jian; Chen, Zhangxin
2017
Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type. Zbl 06789941
Jing, Feifei; Li, Jian; Chen, Zhangxin; Yan, Wenjing
2017
A weak Galerkin finite element method for a coupled Stokes-Darcy problem. Zbl 1439.76084
Li, Rui; Li, Jian; Liu, Xin; Chen, Zhangxin
2017
Unconditional convergence and optimal error estimates of the Euler semi-implicit scheme for a generalized nonlinear Schrödinger equation. Zbl 1355.65115
Cai, Wentao; Li, Jian; Chen, Zhangxin
2016
Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media. Zbl 1382.76166
Hou, Jiangyong; Chen, Jie; Sun, Shuyu; Chen, Zhangxin
2016
Analytical solution of a double moving boundary problem for nonlinear flows in one-dimensional semi-infinite long porous media with low permeability. Zbl 1346.76193
Liu, Wen-Chao; Yao, Jun; Chen, Zhang-Xin
2014
Analysis of the multiscale finite element method for nonlinear and random homogenization problems. Zbl 1170.35007
Chen, Zhangxin; Savchuk, Tatyana Y.
2008
An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. Zbl 1134.76385
He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai
2003
Integrated two-dimensional modeling of fluid flow and compaction in a sedimentary basin. Zbl 1094.76533
Chen, Zhangxin; Ewing, Richard E.; Lu, Hao; Lyons, Stephen L.; Maliassov, Serguei; Ray, Michael B.; Sun, Tong
2002
On the convergence of Galerkin-multigrid methods for nonconforming finite elements. Zbl 0946.65099
Chen, Z.
1999
The analysis of intergrid transfer operators and multigrid methods for nonconforming finite elements. Zbl 0890.65126
Chen, Zhangxin
1997
Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A.
1996
A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes. Zbl 1457.76101
Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin
2018
A family of constrained pressure residual preconditioners for parallel reservoir simulations. Zbl 1413.65045
Liu, Hui; Wang, Kun; Chen, Zhangxin
2016
A scalable parallel black oil simulator on distributed memory parallel computers. Zbl 1349.76833
Wang, Kun; Liu, Hui; Chen, Zhangxin
2015
Numerical study using explicit multistep Galerkin finite element method for the MRLW equation. Zbl 1334.65158
Mei, Liquan; Gao, Yali; Chen, Zhangxin
2015
On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations. Zbl 1278.35178
Li, Jian; Chen, Zhangxin
2013
The multiscale finite element method with nonconforming elements for elliptic homogenization problems. Zbl 1191.35038
Chen, Zhangxin; Cui, Ming; Savchuk, Tatyana Y.; Yu, Xijun
2008
Multiscale methods for elliptic homogenization problems. Zbl 1091.65113
Chen, Zhangxin
2006
Simulation of a compositional model for multiphase flow in porous media. Zbl 1103.76038
Chen, Zhangxin; Huan, Guanren; Wang, Hemei
2005
The sequential method for the black-oil reservoir simulation on unstructured grids. Zbl 1047.76099
Li, Baoyan; Chen, Zhangxin; Huan, Guanren
2003
Degenerate two-phase incompressible flow. IV: Local refinement and domain decomposition. Zbl 1032.76590
Chen, Z.; Ewing, R. E.
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
2003
Formulations and numerical methods of the black oil model in porous media. Zbl 0984.76042
Chen, Zhangxin
2000
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin
2020
A virtual element method for the Cahn-Hilliard problem in mixed form. Zbl 1410.65375
Liu, Xin; Chen, Zhangxin
2019
Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1415.76455
Jing, Feifei; Li, Jian; Chen, Zhangxin; Zhang, Zhonghua
2017
Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209
He, Ruijian; Chen, Zhangxin; Feng, Xinlong
2017
Adaptive stabilized mixed finite volume methods for the incompressible flow. Zbl 1338.76076
Li, Jian; Chen, Zhangxin; Zhang, Tong
2015
Stability and numerical dispersion analysis of finite difference method for the diffusive-viscous wave equation. Zbl 06599718
Zhao, Haixia; Gao, Jinghuai; Chen, Zhangxin
2014
Numerical solution of a moving boundary problem of one-dimensional flow in semi-infinite long porous media with threshold pressure gradient. Zbl 1296.76152
Yao, Jun; Liu, Wenchao; Chen, Zhangxin
2013
Sparse matrix-vector multiplication on NVIDIA GPU. Zbl 1260.65039
Liu, Hui; Yu, Song; Chen, Zhangxin; Hsieh, Ben; Shao, Lei
2012
Electromigration dispersion in a capillary in the presence of electro-osmotic flow. Zbl 1250.76185
Ghosal, S.; Chen, Z.
2012
Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh $$L^2$$ projection. Zbl 1234.65038
Li, Jian; Mei, Liquan; Chen, Zhangxin
2012
Implementation of mixed methods as finite difference methods and applications to nonisothermal multiphase flow in porous media. Zbl 1200.76130
Chen, Zhangxin; Yu, Xijun
2006
Parallel computation for reservoir thermal simulation of multicomponent and multiphase fluid flow. Zbl 1195.76392
Ma, Yuanle; Chen, Zhangxin
2004
Degenerate two-phase incompressible flow. V: Characteristic finite element methods. Zbl 1077.76527
Chen, Z.; Ewing, R. E.; Jiang, Q.; Spagnuolo, A. M.
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 0991.00049
Chen, Zhangxin (ed.); Ewing, Richard E. (ed.)
2002
Convergence of multigrid methods for nonconforming finite elements without regularity assumptions. Zbl 0920.65072
Chen, Zhangxin; Kwak, Do Y.
1998
A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis. Zbl 07085957
Li, Jian; Jing, Feifei; Chen, Zhangxin; Lin, Xiaolin
2020
A Crank-Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. Zbl 1432.76178
Li, Rui; Gao, Yali; Yan, Wenjing; Chen, Zhangxin
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 06864181
He, Ruijian; Feng, Xinlong; Chen, Zhangxin
2018
GPU-based parallel reservoir simulators. Zbl 1380.86003
Chen, Zhangxin; Liu, Hui; Yu, Song; Hsieh, Ben; Shao, Lei
2014
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin
2020
A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis. Zbl 07085957
Li, Jian; Jing, Feifei; Chen, Zhangxin; Lin, Xiaolin
2020
Efficient linear schemes with unconditional energy stability for the phase field model of solid-state dewetting problems. Zbl 07295201
Chen, Jie; He, Zhengkang; Sun, Shuyu; Guo, Shimin; Chen, Zhangxin
2020
$$H^1$$-superconvergence of finite difference method based on $$Q_1$$-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137
Feng, Xinlong; He, Ruijian; Chen, Zhangxin
2020
The nonconforming virtual element method for the Navier-Stokes equations. Zbl 1419.65117
Liu, Xin; Chen, Zhangxin
2019
A virtual element method for the Cahn-Hilliard problem in mixed form. Zbl 1410.65375
Liu, Xin; Chen, Zhangxin
2019
A Crank-Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. Zbl 1432.76178
Li, Rui; Gao, Yali; Yan, Wenjing; Chen, Zhangxin
2019
A stabilized finite volume element method for a coupled Stokes-Darcy problem. Zbl 1404.65221
Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin
2018
Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem. Zbl 1394.65131
Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin
2018
A weak Galerkin finite element method for the Navier-Stokes equations. Zbl 1395.76040
Liu, Xin; Li, Jian; Chen, Zhangxin
2018
Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation. Zbl 1377.65117
Cai, Wentao; Li, Jian; Chen, Zhangxin
2018
A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes. Zbl 1457.76101
Li, Rui; Gao, Yali; Li, Jian; Chen, Zhangxin
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 06864181
He, Ruijian; Feng, Xinlong; Chen, Zhangxin
2018
A nonconforming virtual element method for the Stokes problem on general meshes. Zbl 1439.76085
Liu, Xin; Li, Jian; Chen, Zhangxin
2017
Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type. Zbl 06789941
Jing, Feifei; Li, Jian; Chen, Zhangxin; Yan, Wenjing
2017
A weak Galerkin finite element method for a coupled Stokes-Darcy problem. Zbl 1439.76084
Li, Rui; Li, Jian; Liu, Xin; Chen, Zhangxin
2017
Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions. Zbl 1415.76455
Jing, Feifei; Li, Jian; Chen, Zhangxin; Zhang, Zhonghua
2017
Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209
He, Ruijian; Chen, Zhangxin; Feng, Xinlong
2017
A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem. Zbl 1329.76181
Li, Rui; Li, Jian; Chen, Zhangxin; Gao, Yali
2016
A weak Galerkin finite element method for the Oseen equations. Zbl 1426.76286
Liu, Xin; Li, Jian; Chen, Zhangxin
2016
First-order decoupled finite element method of the three-dimensional primitive equations of the ocean. Zbl 1334.76079
He, Yinnian; Zhang, Yan; Xu, Hui; Chen, Zhangxin
2016
Unconditional convergence and optimal error estimates of the Euler semi-implicit scheme for a generalized nonlinear Schrödinger equation. Zbl 1355.65115
Cai, Wentao; Li, Jian; Chen, Zhangxin
2016
Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media. Zbl 1382.76166
Hou, Jiangyong; Chen, Jie; Sun, Shuyu; Chen, Zhangxin
2016
A family of constrained pressure residual preconditioners for parallel reservoir simulations. Zbl 1413.65045
Liu, Hui; Wang, Kun; Chen, Zhangxin
2016
Liquid bridge’s behavior inside microchannels subject to external pulsatile flow. Zbl 1408.76235
Ahmadlouydarab, Majid; Azaiez, Jalel; Chen, Zhangxin
2016
Stabilized finite element methods for a blood flow model of arteriosclerosis. Zbl 1371.92039
Jing, Feifei; Li, Jian; Chen, Zhangxin
2015
A scalable parallel black oil simulator on distributed memory parallel computers. Zbl 1349.76833
Wang, Kun; Liu, Hui; Chen, Zhangxin
2015
Numerical study using explicit multistep Galerkin finite element method for the MRLW equation. Zbl 1334.65158
Mei, Liquan; Gao, Yali; Chen, Zhangxin
2015
Adaptive stabilized mixed finite volume methods for the incompressible flow. Zbl 1338.76076
Li, Jian; Chen, Zhangxin; Zhang, Tong
2015
Accelerating iterative linear solvers using multiple graphical processing units. Zbl 1317.65267
Chen, Zhangxin; Liu, Hui; Yang, Bo
2015
Optimal $$L^2$$, $$H^1$$ and $$L^{\infty}$$ analysis of finite volume methods for the stationary Navier-Stokes equations with large data. Zbl 1346.76086
Li, Jian; Chen, Zhangxin
2014
Analytical solution of a double moving boundary problem for nonlinear flows in one-dimensional semi-infinite long porous media with low permeability. Zbl 1346.76193
Liu, Wen-Chao; Yao, Jun; Chen, Zhang-Xin
2014
Stability and numerical dispersion analysis of finite difference method for the diffusive-viscous wave equation. Zbl 06599718
Zhao, Haixia; Gao, Jinghuai; Chen, Zhangxin
2014
GPU-based parallel reservoir simulators. Zbl 1380.86003
Chen, Zhangxin; Liu, Hui; Yu, Song; Hsieh, Ben; Shao, Lei
2014
Numerical comparison of robustness of some reduction methods in rough grids. Zbl 1308.76167
Hou, Jiangyong; Sun, Shuyu; Chen, Zhangxin
2014
A Galerkin finite element method for numerical solutions of the modified regularized long wave equation. Zbl 07022395
Mei, Liquan; Gao, Yali; Chen, Zhangxin
2014
Accelerating preconditioned iterative linear solvers on GPU. Zbl 06599723
Liu, Hui; Chen, Zhangxin; Yang, Bo
2014
On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations. Zbl 1278.35178
Li, Jian; Chen, Zhangxin
2013
Numerical solution of a moving boundary problem of one-dimensional flow in semi-infinite long porous media with threshold pressure gradient. Zbl 1296.76152
Yao, Jun; Liu, Wenchao; Chen, Zhangxin
2013
Analysis of the pressure projection stabilization method for the Darcy and coupled Darcy-Stokes flows. Zbl 1393.76062
Chen, Zhangxin; Wang, Zhen; Zhu, Liping; Li, Jian
2013
Reservoir simulation on NVIDIA tesla GPUs. Zbl 1278.86001
Chen, Zhangxin; Liu, Hui; Yu, Song; Hsieh, Ben; Shao, Lei
2013
A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. Zbl 1366.76062
Li, Jian; Chen, Zhangxin; He, Yinnian
2012
Sparse matrix-vector multiplication on NVIDIA GPU. Zbl 1260.65039
Liu, Hui; Yu, Song; Chen, Zhangxin; Hsieh, Ben; Shao, Lei
2012
Electromigration dispersion in a capillary in the presence of electro-osmotic flow. Zbl 1250.76185
Ghosal, S.; Chen, Z.
2012
Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh $$L^2$$ projection. Zbl 1234.65038
Li, Jian; Mei, Liquan; Chen, Zhangxin
2012
A stabilized nonconforming quadrilateral finite element method for the generalized Stokes equations. Zbl 1277.76020
Wang, Zhen; Chen, Zhangxin; Li, Jian
2012
Superconvergence of stabilized low order finite volume approximation for the three-dimensional stationary Navier-Stokes equations. Zbl 1277.76018
Li, Jian; Wu, Jianhua; Chen, Zhangxin; Wang, Aiwen
2012
A hybrid particle swarm optimization algorithm based on space transformation search and a modified velocity model. Zbl 1279.65082
Yu, Song; Wu, Zhijian; Wang, Hui; Chen, Zhangxin; Zhong, He
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
2012
A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations. Zbl 1350.76035
Zhu, Liping; Li, Jian; Chen, Zhangxin
2011
A stabilized mixed finite element method for single-phase compressible flow. Zbl 1204.76022
Zhang, Liyun; Chen, Zhangxin
2011
The Runge-Kutta control volume discontinuous finite element method for systems of hyperbolic conservation laws. Zbl 1252.65165
Chen, Dawei; Yu, Xijun; Chen, Zhangxin
2011
The finite element method. Its fundamentals and applications in engineering. Zbl 1240.74001
Chen, Zhangxin
2011
Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations. Zbl 1275.76163
Li, Jian; Shen, Lihua; Chen, Zhangxin
2010
A new stabilized finite volume method for the stationary Stokes equations. Zbl 1187.65120
Li, Jian; Chen, Zhangxin
2009
Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Zbl 1176.65136
Li, Jian; He, Yinnian; Chen, Zhangxin
2009
Well flow models for various numerical methods. Zbl 1158.76393
Chen, Zhangxin; Zhang, Youqian
2009
Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052
Shen, Lihua; Li, Jian; Chen, Zhangxin
2009
On the heterogeneous multiscale method with various macroscopic solvers. Zbl 1178.35025
Chen, Zhangxin
2009
A new local stabilized nonconforming finite element method for the Stokes equations. Zbl 1155.65101
Li, Jian; Chen, Zhangxin
2008
A penalty finite volume method for the transient Navier-Stokes equations. Zbl 1148.76038
He, Guoliang; He, Yinnian; Chen, Zhangxin
2008
Analysis of the multiscale finite element method for nonlinear and random homogenization problems. Zbl 1170.35007
Chen, Zhangxin; Savchuk, Tatyana Y.
2008
The multiscale finite element method with nonconforming elements for elliptic homogenization problems. Zbl 1191.35038
Chen, Zhangxin; Cui, Ming; Savchuk, Tatyana Y.; Yu, Xijun
2008
Development, analysis and numerical tests of a compositional reservoir simulator. Zbl 1242.76319
Chen, Zhangxin; Zhang, Youqian
2008
A new stabilized finite element method for the transient Navier-Stokes equations. Zbl 1169.76392
Li, Jian; He, Yinnian; Chen, Zhangxin
2007
Reservoir simulation. Mathematical techniques in oil recovery. Zbl 1167.86001
Chen, Zhangxin
2007
Homogenization and simulation for compositional flow in naturally fractured reservoirs. Zbl 1153.76404
Chen, Zhangxin
2007
A particle gradient evolutionary algorithm for solving multi-objective problems. Zbl 1114.65332
Li, Kangshun; Yue, Xuezhi; Kang, Lishan; Chen, Zhangxin
2007
Computational methods for multiphase flows in porous media. Zbl 1092.76001
Chen, Zhangxin; Huan, Guanren; Ma, Yuanle
2006
On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018
Chen, Zhangxin
2006
Characteristic-mixed covolume methods for advection-dominated diffusion problems. Zbl 1174.65479
Chen, Zhangxin; Chou, So-Hsiang; Kwak, Do Young
2006
Multiscale methods for elliptic homogenization problems. Zbl 1091.65113
Chen, Zhangxin
2006
Implementation of mixed methods as finite difference methods and applications to nonisothermal multiphase flow in porous media. Zbl 1200.76130
Chen, Zhangxin; Yu, Xijun
2006
Computer simulation of compositional flow using unstructured control volume finite element methods. Zbl 1098.76041
Chen, Zhangxin; Huan, Guanren; Wang, H.
2006
Finite element methods and their applications. Zbl 1082.65118
Chen, Zhangxin
2005
Simulation of a compositional model for multiphase flow in porous media. Zbl 1103.76038
Chen, Zhangxin; Huan, Guanren; Wang, Hemei
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 1092.68548
Zhang, Wu (ed.); Chen, Z. (ed.); Glowinski, R. (ed.); Tong, W. (ed.)
2005
Pointwise error estimates of discontinuous Galerkin methods with penalty for second-order elliptic problems. Zbl 1081.65102
Chen, Zhangxin; Chen, Hongsen
2004
Numerical analysis of a modified finite element nonlinear Galerkin method. Zbl 1059.65088
He, Yinnian; Miao, Huanling; Mattheij, R. M. M.; Chen, Zhangxin
2004
Characteristic-nonconforming finite-element methods for advection-dominated diffusion problems. Zbl 1118.65103
Chen, Zhangxin
2004
Parallel computation for reservoir thermal simulation of multicomponent and multiphase fluid flow. Zbl 1195.76392
Ma, Yuanle; Chen, Zhangxin
2004
Comparison of solution schemes for black oil reservoir simulations with unstructured grids. Zbl 1075.76607
Li, Baoyan; Chen, Zhangxin; Huan, Guanren
2004
The mechanical behavior of a poroelastic medium saturated with a Newtonian fluid. Zbl 1067.35011
Chen, Zhangxin; Lyons, Stephen L.; Qin, Guan
2004
Stability and convergence of mixed discontinuous finite element methods for second-order differential problems. Zbl 1045.65094
Chen, H.; Chen, Z.
2003
An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations. Zbl 1134.76385
He, Yinnian; Wang, Aiwen; Chen, Zhangxin; Li, Kaitai
2003
The sequential method for the black-oil reservoir simulation on unstructured grids. Zbl 1047.76099
Li, Baoyan; Chen, Zhangxin; Huan, Guanren
2003
Degenerate two-phase incompressible flow. IV: Local refinement and domain decomposition. Zbl 1032.76590
Chen, Z.; Ewing, R. E.
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
2003
Modeling 2D and 3D horizontal wells using CVFA. Zbl 1082.76071
Chen, Zhangxin; Huan, Guanren; Li, Baoyan
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
2003
Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Zbl 1024.00037
Chen, Zhangxin (ed.); Glowinski, Roland (ed.); Li, Kaitai (ed.)
2003
Degenerate two-phase incompressible flow. II: regularity, stability and stabilization. Zbl 1073.35129
Chen, Zhangxin
2002
Error analysis for characteristics-based methods for degenerate parabolic problems. Zbl 1024.65091
Chen, Zhangxin; Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M.
2002
Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems. Zbl 1028.76024
Chen, Zhangxin
2002
Integrated two-dimensional modeling of fluid flow and compaction in a sedimentary basin. Zbl 1094.76533
Chen, Zhangxin; Ewing, Richard E.; Lu, Hao; Lyons, Stephen L.; Maliassov, Serguei; Ray, Michael B.; Sun, Tong
2002
Degenerate two-phase incompressible flow. V: Characteristic finite element methods. Zbl 1077.76527
Chen, Z.; Ewing, R. E.; Jiang, Q.; Spagnuolo, A. M.
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 0991.00049
Chen, Zhangxin (ed.); Ewing, Richard E. (ed.)
2002
Applications of the control volume function approximation method to reservoir simulations. Zbl 1102.76321
Huan, Guanren; Chen, Zhangxin; Li, Baoyan
2002
Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution. Zbl 0991.35047
Chen, Zhangxin
2001
Degenerate two-phase incompressible flow. III: Sharp error estimates. Zbl 1097.76064
Chen, Zhangxin; Ewing, Richard E.
2001
...and 45 more Documents
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#### 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. B. ...and 1,318 more Authors
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#### Cited in 140 Serials

 78 Journal of Computational and Applied Mathematics 62 Computer Methods in Applied Mechanics and Engineering 60 Journal of Computational Physics 54 Computational Geosciences 51 Computers & Mathematics with Applications 41 Numerical Methods for Partial Differential Equations 40 Journal of Scientific Computing 39 Applied Numerical Mathematics 37 Applied Mathematics and Computation 29 Mathematics of Computation 24 Numerische Mathematik 18 Journal of Mathematical Analysis and Applications 18 SIAM Journal on Scientific Computing 13 Numerical Algorithms 13 Applied Mathematical Modelling 13 Mathematical Problems in Engineering 12 SIAM Journal on Numerical Analysis 11 Computers and Fluids 11 Advances in Computational Mathematics 11 Journal of Applied Mathematics 10 International Journal of Computer Mathematics 9 Mathematical Methods in the Applied Sciences 9 Mathematics and Computers in Simulation 9 Applied Mathematics and Mechanics. (English Edition) 8 Applications of Mathematics 8 Multiscale Modeling & Simulation 7 Applicable Analysis 7 Numerical Linear Algebra with Applications 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 International Journal for Numerical Methods in Fluids 6 BIT 6 Journal of Differential Equations 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 Computing and Visualization in Science 6 Discrete and Continuous Dynamical Systems. Series B 6 International Journal of Computational Methods 5 Computing 5 Applied Mathematics Letters 5 Computational Methods in Applied Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 International Journal for Numerical Methods in Engineering 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Computational and Applied Mathematics 4 Lobachevskii Journal of Mathematics 4 Journal of Applied Mathematics and Computing 4 Advances in Difference Equations 3 Computer Physics Communications 3 Calcolo 3 Computational Mechanics 3 Japan Journal of Industrial and Applied Mathematics 3 Communications in Numerical Methods in Engineering 3 Abstract and Applied Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Numerical Mathematics 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Journal of Fluid Mechanics 2 Bulletin of Mathematical Biology 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 European Journal of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Engineering Analysis with Boundary Elements 2 European Journal of Mechanics. B. Fluids 2 Nonlinear Analysis. Real World Applications 2 Journal of Systems Science and Complexity 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Acta Mechanica Sinica 2 Frontiers of Mathematics in China 1 Astrophysics and Space Science 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematische Semesterberichte 1 Moscow University Mathematics Bulletin 1 Transport Theory and Statistical Physics 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 ACM Transactions on Mathematical Software 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Information Sciences 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Seminario Matematico della Università di Padova 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Journal of Elasticity 1 SIAM Review 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series B (English Edition) ...and 40 more Serials
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#### Cited in 29 Fields

 693 Numerical analysis (65-XX) 552 Fluid mechanics (76-XX) 392 Partial differential equations (35-XX) 80 Mechanics of deformable solids (74-XX) 55 Geophysics (86-XX) 23 Classical thermodynamics, heat transfer (80-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Statistical mechanics, structure of matter (82-XX) 9 Real functions (26-XX) 9 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 8 Optics, electromagnetic theory (78-XX) 7 Integral equations (45-XX) 7 Computer science (68-XX) 6 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 4 Ordinary differential equations (34-XX) 4 Quantum theory (81-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

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