List of publications and technical reports.
175. Overview of wellbore fluid flow and heat transfer modeling
with Applications in the Oil Industry,
Journal of Exploration and Production: Oil and Gas Review
7 (2009), to appear.
Z. Chen M. Bahonar, and J. Azaiez
174. Stability and convergence of a stabilized finite volume method
for the transient Navier-Stokes equations,
submitted for publication.
Z. Chen and J. Li
173. A semi-unsteady state wellbore steam/water flow
model for prediction of sandface conditions in steam injection wells,
Paper 2009-005,
the Canadian International Petroleum Conference Proceedings,
Calgary, Alberta, Canada, June 16--18, 2009; Journal of Exploration and Production: Oil and Gas Review
7 (2009), to appear.
Z. Chen M. Bahonar, and J. Azaiez
172. A new approach to simulation of the boundary layer
in the vapor extraction process, Paper 2009-092,
the Canadian International Petroleum Conference Proceedings,
Calgary, Alberta, Canada, June 16--18, 2009.
Z. Chen H. Nourozieh, M. Kariznovi, and J. Abedi
171. Modelling of bitumen ultradispersed catalytic
upgrading experiments in a batch reactor, Paper 2009-158,
the Canadian International Petroleum Conference Proceedings,
Calgary, Alberta, Canada, June 16--18, 2009.
Z. Chen H. Hassanzadeh, C. E. Galarraga, J. Abedi, C. E. Scott, and
P. Pereira-Almao
170. Simulation study of underground coal gasification in deep
coal seams, Paper 602,
the 8th World Congress of Chemical Engineering,
Montreal, Canada, August 23--27, 2009; Journal of Energy and Fuel, to appear.
Z. Chen H. Nourozieh, M. Kariznovi, and J. Abedi
169. Estimation of kinetic constants for in situ ultra-dispersed
catalytic upgrading of bitumen in a batch reactor,
Paper 2256,
the 8th World Congress of Chemical Engineering,
Montreal, Canada, August 23--27, 2009.
Z. Chen H. Hassanzadeh, C. E. Galarraga,
J. Abedi, C. E. Scott, and P. Pereira-Almao
168. Analysis of the pressure projection stabilization
method for second-order elliptic problems,
submitted for publication.
Z. Chen Z. Wang, and J. Li
167. Convergence and stability of a stabilized finite
volume method for the stationary Navier-Stokes equations,
submitted for publication.
Z. Chen J. Li, and L. Shen
166. A new local stabilized nonconforming finite element method for
the stationary Navier-Stokes equations,
submitted for publication.
Z. Chen L. Zhu, and J. Li
165. Integrated reservoir simulation and basin models:
Reservoir charging and fluid mixing,
SPE 118833, 2009 SPE Reservoir Simulation Symposium held in The Woodlands,
Texas, USA, 2-4 February 2009.
Z. Chen H. Chen, D. Carruthers, and J. Zhou
164. Pricing and risk management of
variable annuities and equity-indexed annuities,
Research and Finance, to appear.
Z. Chen ,G. Cao, and A. Chen
163. Performance of several stabilized finite
element methods for the Stokes equations based on the lowest
equal-order pairs,
Computing, 86 (2009), 37--51
Z. Chen ,J. Li, and Y. He
162. Analysis of a stabilized finite volume method for
the transient Stokes equations,
International Journal of Numerical Analysis and
Modeling, 6 (2009), 505--519.
Z. Chen ,L. Shen, and J. Li
161. A sequence of Cipher producing methods
based on a two-layer ranking multi-objective evolutionary algorithm,
Proceedings of the IEEE Congress on Evolutionary Computation 2008
(CEC 2008), Hong Kong, 2008, 169--173.
Z. Chen ,K. Li, W. Pan, and Zhang
160. Automatic modeling
of a novel gene expression programming based on statistical analysis and
critical velocity, The proceedings of the 2008 IEEE Congress on Evolutionary
Computation (IEEE CEC 2008) within 2008 IEEE World Congress on Computational
Intelligence (WCCI 2008), 641--647, Hong Kong.
Z. Chen ,W.
Pan, S. Li, and W. Zhang
159. Numerical Simulation of Reservoir Multicomponent
Fluid Mixing, submitted for publication.
Z. Chen, and
H. Chen
158. Reliable and efficient error control for
an adaptive Galerkin-characteristic method for
convection-dominated diffusion problems, submitted for publication.
Z. Chen, M. Cui, H. Chen, R.E. Ewing, and G. Qin
157. Do fluid compositions and reservoir pressure tell us the same
thing about reservoir segmentation? 2007 International Petroleum
Technology Conference December 3-6th,
Z. Chen, C. Gong, H. Luo,
J. Bunney, T. Barwise, M.
Osborne, H. Chen, D. Caruthers, and G. Zhou
156. A new local stabilized nonconforming finite element method for the
Stokes equations, Computing, 82 (2008), 157--170.
Z. Chen, and
J. Li
155. A bionics evolutionary algorithm based on
average vector deviation, The Proceedings of the 4th International
Conference on Fuzzy Systems and Knowledge Discovery (FSKD'07), IEEE, 2007,
386--390.
Z. Chen, K. Li, W. Pan, and H. Luo
154. On the heterogeneous multiscale method with
various macroscopic solvers, Nonlinear Analysis Series A: Theory, Methods & Applications,
71 (2009), 3267--3282.
Z. Chen
153. The multiscale finite element method with nonconforming
elements for elliptic homogenization problems,
SIAM Multiscale Modeling and Simulation 7 (2008), 517-538.
Z. Chen, M. Cui, T. Savchuk, and X. Yu
152. Development, analysis and numerical tests of a compositional
reservoir simulator, International Journal of Numerical Analysis and
Modeling, 5 (2008), 86--100.
Z. Chen, Y. Zhang
151. A new stabilized finite element method for the transient Navier-Stokes equations, Computer Methods in
Applied Mechanics and Engineering 197 (2007), 22—35 (the first class of
research article award by the Society of Chinese Mathematics, 2008).
Z. Chen, J. Li and Y. He
150. A new stabilized finite volume method for the stationary Stokes
equations, Advances in Computational Mathematics, 30 (2009), 141--152.
Z. Chen and J. Li
149. Critical review of the impact of tortuosity
on diffusion, Chemical Engineering Science, 62 (2007), 3748--3755.
Z. Chen and L. Shen
148. A particle gradient evolutionary algorithm for solving
multi-objective problems, Applied Mathematics and Computation, 187
(2007), 1173--1186.
Z. Chen , K. Li, X. Yue, and L. Kang
147. A particle gradient evolutionary algorithm based on statistical
mechanics and convergence analysis, The Proceedings of 7th
International Conference on High Performance Computing in Computational
Sciences (VECPAR 2006), Lecture Notes in Computer Science Series (LNCS),
Springer-Verlag, 2007, 530--543.
Z. Chen, K. Li, W. Li, and Z. Wu
146. Analysis of the multiscale finite
element method for nonlinear and random homogenization problems, SIAM
J. Numer. Anal. 46 (2008), 260--279.
Z. Chen and T. Savchuk
145. A penalty finite volume method for the transient Navier-Stokes equations, Applied Numerical
Mathematics 58 (2008), 1583--1613.
Z. Chen, G. He and Y. He
144. A multi-objective dynamical evolutionary algorithm based on
transportation theory, The Proceedings of International Genetic and
Evolutionary Computation Conference (GECCO2006), July 8-12, 2006,
Z. Chen, K. Li, X. Yue, and
L. Kang
143. Heavy oils, Part II, SIAM News, Vol. 39/Number 4, May
2006, pages 5 and 8.
Z. Chen
142. Heavy oils, Part I, SIAM News, Vol. 39/Number 3, April
2006, pages 1 and 8.
Z. Chen
141. Characteristic-mixed covolume methods
for advection-dominated diffusion problems, Numerical Linear Algebra
with Application, 13 (2006), 677--697.
Z. Chen S.-H. Chou and D. Y. Kwak
140. A survey of wormhole research in cold heavy oil production, submitted
for publication.
Z. Chen and R. Wang
139. Numerical simulation of compositional flow in porous media under
gravity, Communications in Computational Physics, 1 (2006), 827-846.
Z. Chen, G. Zhou and D. Carruthers
138. Implementation of mixed methods as finite difference methods and
applications to nonisothermal multiphase flow in
porous media, Journal of Computational Mathematics, 24 (2006),
281--294.
Z. Chen, and
X. Yu
137. Well flow models for various numerical
methods, International Journal of Numerical Analysis and
Modeling, 6 (2009), 375--388.
Z. Chen and Y. Zhang
136. Performance of drainage experiments with
Z. Chen, R. Wang, J. Qin, and M. Zhao
135. The control volume finite element methods and their applications
to multiphase flow, Networks and Heterogeneous Media, 1 (2006),
689--706.
Z. Chen
134. A new algorithm of evolving artificial neural networks via gene
expression programming, Journal of the Korean Society for Industrial
and Applied Mathematics, 9 (2005), 83--89.
Z. Chen K. Li, Y. Li, and H. Mo
133. Homogenization and simulation for compositional flow in naturally
fractured reservoirs, Journal of Mathematical Analysis and
Applications, 329 (2007), 12--32.
Z. Chen
132. Numerical simulation for fractured porous media, High
Performance Computing and Applications 2004, Lecture Notes in Computational
Science and Engineering, Z. Chen, et al., eds., Springer-Verlag,
Heidelberg, 2005, 47--58.
Z. Chen, G. Huan, R. E.
Ewing, and G. Qin
131. An application of genetic programming to economic forecasting, High
Performance Computing and Applications 2004, Lecture Notes in Computational
Science and Engineering, Z. Chen, et al., eds., Springer-Verlag,
Z. Chen, K. Li, Y. Li, and A. Zhou
130. A new dynamical evolutionary algorithm based on particle
transportation theory, to appear in High Performance Computing and
Applications 2004, Lecture Notes in Computational Science and Engineering, Z.
Chen, et al., eds., Springer-Verlag,
Z. Chen K. Li, Y. Li, and Z. Wu
129. Numerical simulation of nonisothermal
multiphase multicomponent flow in porous media, to
appear in the proceedings of the Conference on Analysis, Modeling and
Computation of PDEs and Multiphase Flow in
Celebration of James Glimm's 70th Birthday, SUNY at
Z. Chen and Y. Ma
128. Computer simulation of gas cycling of retrograde condensate
reservoirs using an unstructured CVFE compositional model, Computing,
78 (2006), 31--53.
Z. Chen, G. Huan, and H.
Wang
127. A sequential numerical chemical compositional simulator, Transport
in Porous Media, 68 (2007), 389--411.
Z. Chen, Y. Ma, and G. Chen
126. Comparison of the GMRES and ORTHOMIN for the black oil model on
unstructured grids, International Journal for Numerical Methods in
Fluids, 52 (2006), 941--962.
Z. Chen, W. Li, G. Huan,
and X. Sun
125. Reservoir simulation, Bul. Soc. Esp. Mat. Apl. 37 (2006), 67--88.
Z. Chen
124. Parallel computation for reservoir thermal simulation of multicomponent and multiphase fluid flow, Journal
of Computational Physics 201 (2004), 224-237.
Z. Chen and Y. Ma
123. Multiscale methods for elliptic
homogenization problems, Numerical Methods for Partial Differential
Equations, 22 (2006), 317--360.
Z. Chen
122. Numerical analysis of a modified finite element nonlinear Galerkin method, Numer.
Math. 97 (2004), 725--756.
Z. Chen, Y. He, H. Miao, and R. M. M. Mattheij
121. Simulation of a compositional model for multiphase flow in porous
media, Numerical Methods for PDEs, 21
(2004), 726--741.
Z. Chen, G. Huan and H.
Wang
120. Comparison of the GMRES and ORTHOMIN for the black oil model in
porous media, International Journal for Numerical Methods in Fluids,
48 (2005), 501--519.
Z. Chen, W. Li, R. Ewing, G. Huan,
and B. Li
119. Distributed parallel solver for multiphase flow in porous media, Applied
Parallel and Distributed Computing, Advances in Computation: Theory and
Practice, vol. 16, Y. Pan and L. Yang, eds., Nova Science Publishers, 2005,
169--183.
Z. Chen, W. Li and G. Huan
118. An optimal nonlinear Galerkin method
with mixed finite elements for the steady Navier-Stokes
equations, Numerical Methods for Partial Differential Equations 19
(2003), 762--775.
Z. Chen, Y. He, A. Wang, and K. Li
117. A mathematical model for ESP simulation, Current Trends
in Scientific Computing, Contemporary Mathematics, Vol. 329, Z. Chen, R. Glowinski, and K. Li, eds., American Mathematical Society,
2003, 315--324.
Z. Chen, R. Wang
116. Characteristic-nonconforming finite element methods for
advection-dominated diffusion problems, A special issue of Computers
and Mathematics with Applications in memory of Professor George Fix , 48
(2004), 1087--1100.
Z. Chen,
115. Scientific computing in energy and environment, Current
Trends in Scientific Computing, Contemporary Mathematics, Vol. 329, Z. Chen, R.
Glowinski, and K. Li, eds., American Mathematical
Society, 2003, 51--58.
Z. Chen, R. Glowinski, and
J. He
114. Pointwise error estimates of
discontinuous Galerkin methods with penalty for
second-Order elliptic problems, SIAM J. Numer.
Anal. 24 (2004), 1146--1166.
Z. Chen, and
H. Chen
113. Modeling horizontal wells with the CVFA
method in black oil reservoir simulations, Current Trends in
Scientific Computing, Contemporary Mathematics, Vol. 329, Z. Chen, R. Glowinski, and K. Li, eds., American Mathematical Society,
2003, 209--236.
Z. Chen, B. Li, and G. Huan
112. Comparison of solution schemes for black oil reservoir simulations
with unstructured grids, Computer Methods in Applied Mechanics and
Engineering, 193 (2004), 319--355.
Z. Chen, B. Li and G. Huan
111. Parallel computing in the black oil model, Current Trends
in Scientific Computing, Contemporary Mathematics, Vol. 329, Z. Chen, R. Glowinski, and K. Li, eds., American Mathematical Society,
2003, 253--262.
Z. Chen, J. Liu, R.E. Ewing, G. Huan,
B. Li, and Z. Wang
110. Numerical analysis for two-phase flow in porous media, Computational
Methods in Applied Mathematics, 3 (2003), 59--75.
Z. Chen
109. Control volume function approximation methods and their
applications to modeling porous media flow II: The black oil model, Advances
in Water Resources, 27 (2004), 99--120.
Z. Chen, B. Li and G. Huan
108. The sequential method for the black oil model on unstructured
grids, Journal of Computational Physics, 192 (2003), 36--72.
Z. Chen, B. Li and G. Huan
107. Control volume function approximation method for the black oil
model, Proceedings of the 2nd Meeting on Reservoir Simulation,
Universidad Argentina de la Empresa,
Z. Chen, G. Huan, B. Li,
106. Comparison of Practical Approaches to Reservoir Simulation, Proceedings
of the 2nd Meeting on Reservoir Simulation, Universidad Argentina de la Empresa, Buenos Aires, Argentina, Nov. 5-6, 2002, CD-ROM.
Z. Chen, G. Huan, B. Li, W.
Li, S. Buitrago, D. Espin,
and H. Klie
105. Analysis and numerics for multiphase
flow in porous media, Proceedings of the Second MIT Conference on
Computational Fluid and Solid Mechanics, K.~J.~Bathe,
Ed., Elsevier Science, 2 (2003), 1285--1286.
Z. Chen
104. An interactive simulation platform and its industrial
applications, Proceedings of the Second MIT Conference on
Computational Fluid and Solid Mechanics, K.~J.~Bathe,
Ed., Elsevier Science, 2 (2003), 2241--2243.
Z. Chen
103. Degenerate two-phase incompressible flow V: Characteristic finite
element methods, Journal of Numerical Mathematics, 10 (2002), 87--107.
Z. Chen, R. Ewing, Q. Jiang, and A. Spagnuolo
102. A pseudo function approach in reservoir simulation, International
Journal of Numerical Analysis and Modeling, 2 (2005), 58--67.
Z. Chen, G. Huan, and B. Li
101. Locking-free nonconforming finite elements for planar linear
elasticity, Dynamical Systems and Differential Equations, Supplement
Volume (2005), 181--189.
Z. Chen, Y. Cui, and Q. Jiang
100. Discontinuous finite element methods, Chapter Three, in
the Finite Element Handbook, Z.-C. Shi, et al., eds., World Scientific
Publisher, 2002, to appear.
Z. Chen
99. Nonconforming finite element methods, Chapter Two, in the
Finite Element Handbook, Z.-C. Shi, et al., eds., World Scientific Publisher,
2002, to appear.
Z. Chen
98. Mixed finite element methods, Chapter One, in the Finite
Element Handbook, Z.-C. Shi, et al., eds., World Scientific Publisher, 2002, to
appear.
Z. Chen
97. Modeling 2D and 3D horizontal wells using CVFA, Communications
in Mathematical Sciences, 1 (2002), 30--44.
Z. Chen, G. Huan and B. Li
96. A benchmark calculation of 3D horizontal well simulations, International
Journal of Numerical Analysis and Modeling, 1 (2004), 189--202.
Z. Chen, G. Huan and B. Li
95. An improved IMPES method for two-phase flow in porous media, Transport
in Porous Media 54 (2004), 361--376.
Z. Chen, G. Huan and B. Li
94. Two-phase immiscible flow with the viscous drag in naturally
fractured reservoirs, Fluid Flows and Transport in Porous Media,
Mathematical and Numerical Treatment, Contemporary Mathematics, Vol. 295, Z.
Chen and R. Ewing, eds., AMS, 2001, 127--140.
Z. Chen, Y. Cui and Q. Jiang
93. Applications of the control volume function approximation method to
reservoir simulations, Fluid Flows and Transport in Porous Media,
Mathematical and Numerical Treatment, Contemporary Mathematics, Vol. 295, Z.
Chen and R. Ewing, eds., AMS, 2001, 279--292.
Z. Chen, G. Huan and B. Li
92. Mixed discontinuous FE methods and their applications to two-phase
flow in porous media, Fluid Flows and Transport in Porous Media,
Mathematical and Numerical Treatment, Contemporary Mathematics, Vol. 295, Z.
Chen and R. Ewing, eds., AMS, 2001, 113--126.
Z. Chen, H. Chen, G. Huan,
and Z. Wang
91. Mixed finite element methods for multiphase flow in petroleum
reservoirs with multiple wells, Fluid Flows and Transport in Porous
Media, Mathematical and Numerical Treatment, Contemporary Mathematics, Vol.
295, Z. Chen and R. Ewing, eds., AMS, 2001, 141--152.
Z. Chen, G. Huan and B. Li
90. Modeling horizontal wells using hybrid grids in reservoir
simulations, Fluid Flows and Transport in Porous Media, Mathematical
and Numerical Treatment, Contemporary Mathematics, Vol. 295, Z. Chen and R.
Ewing, eds., AMS, 2001, 327--342.
Z. Chen, G. Huan and B. Li
89. Control volume function approximation methods and their
applications to modeling porous media flow I: The two-phase flow, Advances
in Water Resources 26 (2003), 435--444.
Z. Chen, B. Li and G. Huan
88. The hp version of Eulerian-Lagrangian
mixed discontinuous finite element methods for advection-diffusion problems, International
Journal of Mathematics and Mathematical Sciences, 53 (2003), 3385--3411.
Z. Chen, H. Chen, and B. Li
87. Numerical experiments with various formulations for two phase flow
in petroleum reservoirs, Transport in Porous Media 51 (2003), 89--102.
Z. Chen, and
G. Huan
86. Mixed discontinuous finite element methods
for multiphase flow in porous media, Computing Letters 2 (2006),
1--13.
Z. Chen, H. Chen, and G. Huan
85. Relationships among characteristic finite element methods for
advection-diffusion problems, Journal of of
the Korean Society for Industrial and Applied Mathematics, 6 (2002), 1--15.
Z. Chen
84. Integrated two-dimensional modeling of fluid flow and compaction in
a sedimentary basin, Computational Geosciences, 6 (2002), 545--564.
Z. Chen, R. E. Ewing, H. Lu, S. L. Lyons, S. Maliassov, M. B. Ray, and T. Sun
83. Effects of boundary conditions on a class of mixed discontinuous
finite element methods for reaction-diffusion problems, Communications
in Numerical Methods in Engineering 18 (2002), 355--362.
Z. Chen
82. Degenerate two-phase incompressible flow IV, Local refinement and
domain decomposition, Journal of Scientific Computing, 18 (2003),
329--360.
Z. Chen, R. E. Ewing
81. Numerical study of the hp version of mixed discontinuous finite
element methods for reaction-diffusion problems: the 1D case, Numerical
Methods for PDEs 19 (2003), 525--553.
Z. Chen, H. Chen and B. Li
80. Stability and convergence of mixed discontinuous finite element
methods for second-order differential problems, Journal of Numerical
Mathematics, 11 (2003), 253--287.
Z. Chen, and
H. Chen
79. Characteristic mixed discontinuous finite
element methods for advection-dominated diffusion problems, Comp.
Meth. Appl. Mech. Engrg. 191 (2002), 2509--2538.
Z. Chen
78. On the relationship of various discontinuous finite element methods
for second-Order elliptic equations,
Z. Chen
77. Error analysis for characteristics-based methods for degenerate
parabolic problems, SIAM J. Numer. Anal. 40
(2003), 1491--1515.
Z. Chen, R. E. Ewing, E. Q. Jiang, and A. M. Spagnuolo
76. Two-phase flow equation with hysteresis, PDE Coffee Table
Book, K. M. Embree and N. Trefethen,
eds.,
Z. Chen
75. Numerical simulation of multiphase flow in fractured porous media, in
Lecture Notes in Physics, Chen, Ewing, and Shi, eds., Springer-Verlag, Heidelberg, Vol. 552, 2000, 52--70.
Z. Chen, P. Bastian, R. E. Ewing, R. Helmig, H. Jakobs, and V. Reichenberger
74. Mathematical and numerical techniques in energy and environmental
modeling, in Lecture Notes in Physics, Vol. 552, Chen, Ewing, and Shi,
eds., Springer-Verlag, Heidelberg, 2000, 1--22.
Z. Chen, and
R. E. Ewing
73. The mechanical behavior of poroelastic media saturated with a Newtonian fluid derived
via homogenization, International Journal of Numerical Analysis and
Modeling, 1 (2004), 75--98.
Z. Chen,
72. Uniform convergence of Galerkin-multigrid
methods for nonconforming finite elements for second order problems with less
than full elliptic regularity, Numerical Methods for PDEs, 18 (2002), 203--217.
Z. Chen
71. Derivation of the Forchheimer law via
homogenization, Transport in Porous Media, 44 (2001), 325-335.
Z. Chen,
70. Numerical experiments for a finite element approximation of
two-phase flow in porous media, The Proceedings of the Second
International Conference on Bifurcation Theory and its Numerical Analysis, Z.
Chen, S.-N. Chow, and K. Li, eds.,
Z. Chen, and
N. L. Khlopina
69. Degenerate two-phase incompressible flow
III: Sharp error estimates, Numer. Math. 90
(2001), 215-240.
Z. Chen and R. E. Ewing
68. Degenerate two-phase incompressible flow II: Regularity, stability
and stabilization, J. Diff. Equations, 186 (2002), 345--376.
Z. Chen,
67. Degenerate two-phase incompressible flow I: Existence, uniqueness
and regularity of a weak solution, J. Diff. Equations, 171 (2001),
203--232.
Z. Chen
66. Some problems in mathematical modeling and simulation for
applications of fluid flows in porous media, The Proceedings of the
Second International Conference on Bifurcation Theory and its Numerical
Analysis, Z. Chen, S.-N. Chow, and K. Li, eds.,
Z. Chen
65. Degenerate two-phase incompressible flow problems III: Perturbation
analysis and numerical experiments, Electronic Journal of Differential
Equations, 2 (1999), 29--46.
Z. Chen and N. L. Khlopina
64. Degenerate two-phase incompressible flow problems II: Error
estimates, Comm. Appl. Anal., 5 (2001), 503--521.
Z. Chen and N. L. Khlopina
63. Degenerate two-phase incompressible flow problems I: Regularization
and numerical results, Comm. Appl. Anal., 5 (2001), 319--334.
Z. Chen and N. L. Khlopina
62. Convergence of multigrid methods for the
Z. Chen and Z.-C. Shi
61. Schwarz algorithms for nonconforming and mixed methods for
second-order problems, The Proceedings of the Ninth International
Colloquium on Differential Equations, D. Bainov, ed.,
Plovdiv, Bulgaria, 1999, 77--84.
Z. Chen
60. Local mesh refinement for degenerate two-phase incompressible flow
problems, The Proceedings of the Ninth International Colloquium on Differential
Equations, D. Bainov, ed., Plovdiv, Bulgaria, 1999,
85--90.
Z. Chen and R. E. Ewing
59. Analysis of a compositional model for fluid flow in porous media, SIAM
J. Appl. Math., 60 (2000), 747--777.
Z. Chen, G. Qin, and R. E. Ewing
58. V-cycle Galerkin-multigrid methods for
nonconforming methods for nonsymmetric and indefinite
problems, Applied Numerical Mathematics, 28 (1998), 17--35.
Z. Chen and D. Y. Kwak
57. Analysis of large-scale averaged models for two-phase flow in
fractured reservoirs, Journal of Mathematical Analysis and
Applications, 223 (1998), 158--181.
Z. Chen
56. On the convergence of nonnested multigrid methods with nested spaces on coarse grids, Numerical
Methods for Partial Differential Equations, 16 (2000), 265--284.
Z. Chen
55. Mathematical analysis for reservoir models, SIAM J. Math.
Anal., 30 (1999), 431--453.
Z. Chen and R. Ewing
54. On the convergence of Galerkin-multigrid
methods for nonconforming finite elements, East-West J. Numer. Math., 7 (1999), 79--107.
Z. Chen
53. Convergence of multigrid methods for
nonconforming finite elements without regularity assumptions, Comp.
Appl. Math., 17 (1998), 283--302.
Z. Chen and Do Y. Kwak
52. Formulations and numerical methods of the black-oil model in porous
media, SIAM J. Numer. Anal., 38 (2000),
489--514.
Z. Chen
51. Expanded hybrid formulations for numerical solution of plate
bending problems, Iterative Methods in Scientific Computation, J.
Wang, et al., eds., IMACS Series in Computational and Applied Mathematics, 4
(1998), 267--273.
Z. Chen
50. Numerical methods for three models of compositional flow in porous
media, Iterative Methods in Scientific Computation, J. Wang, et al., eds.,
IMACS Series in Computational and Applied Mathematics, 4 (1998), 85--90.
Z. Chen and Richard E. Ewing
49. Analysis of expanded mixed methods for fourth order elliptic
problems, Numer. Methods for PDES, 13
(1997), 483--503.
Z. Chen
48. The analysis of intergrid transfer
operators and multigrid methods for nonconforming
finite elements, Electronic Transactions on Numerical Analysis, 5
(1997), 78--96.
Z. Chen
47. Comparison of various formulations of three-phase flow in porous
media, J. Comp. Physics, 132 (1997), 362--373.
Z. Chen and Richard E. Ewing
46. From single-phase to compositional flow: applicability of mixed
finite elements, Transport in Porous Media, 27 (1997), 225--242.
Z. Chen and Richard E. Ewing
45. Multigrid and multilevel methods for
nonconforming rotated Q1 elements, Math. Comp., 67 (1998), 667--693.
Z. Chen and Peter Oswald
44. Multigrid algorithms for nonconforming
and mixed methods for nonsymmetric and indefinite
problems, SIAM J. Scientific Computing, 19 (1998), 502--515.
Z. Chen , Do Y. Kwak and Yoon J. Yon
43. Expanded mixed finite element methods for linear second order
elliptic problems I, RAIRO Model. Math. Anal. Numer.,
32 (1998), 479--499.
Z. Chen
42. Expanded mixed finite element methods for quasilinear
second order elliptic problems II, RAIRO Model. Math. Anal. Numer., 32 (1998), 500--520.
Z. Chen
41. Fully-discrete finite element analysis of multiphase flow in
groundwater hydrology, SIAM J. Numer. Anal.,
34 (1997), 2228--2253.
Z. Chen and Richard E. Ewing
40. Stability and convergence of a finite element method for reactive
transport in ground water, SIAM J. Numer.
Anal., 34 (1997), 881--904.
Z. Chen and Richard E. Ewing
39. Domain decomposition methods and multilevel preconditioners
for nonconforming and mixed methods for partial differential problems, Domain
Decomposition Methods in Sciences and Engineering, R. Glowinski,
et al., eds., Wiley-Interscience-Europe, 213--220,
1997.
Z. Chen and Richard E. Ewing
38. Recent development of multigrid
algorithms for mixed and nonconforming methods for second order elliptic
problems, Proceedings of Seventh Copper Mountain Conference on Multigrid Methods, N. Melson et
al., eds., NASA Conference Publication 3339, Part 1, 183--197, 1996.
Z. Chen and Richard E. Ewing
37. Multilevel preconditioners for mixed
methods for second order elliptic problems, J. Numerical Linear
Algebra and Applications, 3 (1996), 427--453.
Z. Chen , Richard E. Ewing,
Yuri Kuznetsov, Raytcho Lazarov and Serguei Maliassov
36. Formulation of three-phase flow in porous media, Computational
Methods in Water Resources, Vol.~1, A. Aldama, et
al., eds., Computational Mechanics Publications, Southampton, UK, 1996,
433--440.
Z. Chen
35. Domain decomposition algorithms for mixed methods for second order
elliptic problems, Math. Comp., 65 (1996), 467--490.
Z. Chen , Richard E. Ewing
and Raytcho Lazarov
34. Equivalence between and multigrid
algorithms for nonconforming and mixed methods for second order elliptic
problems, East-West J. Numer. Math., 4
(1996), 1--33.
Z. Chen
33. Superconvergence results for Galerkin methods for wave propagation in various porous
media, Numerical Methods for Partial Differential Equations, 12
(1996), 99--122.
Z. Chen
32. A finite element method for the quantum hydrodynamic model for
semiconductor devices, Computers Math. Applic.,
31 (1996), 17--26.
Z. Chen
31. Large-scale averaging analysis of multiphase flow in fractured
reservoirs, Transport in Porous Media, 21 (1995), 269--295.
Z. Chen
30. Continuous-time finite element analysis of multiphase flow in
groundwater hydrology, Applications of Mathematics, 40 (1995),
203--226.
Z. Chen , Magne Espedal and R. Ewing
29. On the implementation of mixed methods as nonconforming methods for
second order elliptic problems, Math. Comp., 64 (1995), 943--972.
Z. Chen and Todd Arbogast
28. Analysis of a finite element method for the drift diffusion
semiconductor device equations: the multidimensional case, Numer. Math., 71 (1995), 1--28.
Z. Chen and Bernardo Cockburn
27. Quantum hydrodynamic simulation of hysteresis in the resonant
tunneling diode, J. of Comp. Physics, 117 (1995), 274--280.
Z. Chen , Bernardo Cockburn,
Carl Gardner and Joseph W. Jerome
26. Mixed-RKDG finite element methods for the {\rm
2}-D hydrodynamic model for semiconductor device simulation, VLSI
Designs, 3 (1995), 145--158.
Z. Chen , Bernardo Cockburn,
Joseph W. Jerome and Chiwang Shu
25. Finite element analysis of the one-dimensional full drift-diffusion
model, SIAM J. Numer. Anal., 32 (1995),
455--483.
Z. Chen
24. Numerical simulation of multiphase flow in groundwater hydrology, Finite
Element Modeling of Environmental Problems, Surface and Subsurface Flow and
Transport, G. Carey, ed., John Wiley & Sons, 1995, 361--374.
Z. Chen
23. L^p-posteriori error analysis of mixed
methods for linear and quasilinear elliptic problems,
Modeling, Mesh Generation, and Adaptive Numerical Methods for PDEs, I. Babuska, et al., eds.,
the IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York, Vol.~75, 1995, 187--200.
Z. Chen
22. Modelling of compositional flow in
naturally fractured reservoirs, Environmental Studies: Mathematical,
Computational, and Statistical Analysis, M. F. Wheeler, ed., The IMA Volumes in
Mathematics and its Applications,
Z. Chen and Jim Douglas, Jr.
21. Multiphase flow simulation with various boundary conditions, Numerical
Methods in Water Resources, Vol.~2, A. Peters, et als.,
eds., Kluwer Academic Publishers, Netherlands, 1994,
925--932.
Z. Chen , Richard E. Ewing
and Magne Espedal
20. Large-scale averaging analysis of single phase flow in fractured
reservoirs, SIAM J. Appl. Math., 54 (1994), 641--659.
Z. Chen
19. Error estimates for a finite element method for the drift diffusion
semiconductor device equations, SIAM J. Numer.
Anal., 31 (1994), 1062--1089.
Z. Chen and Bernardo Cockburn
18. BDM mixed methods for a nonlinear elliptic problem, J.
Comp. Appl. Math., 53 (1994), 207--223.
Z. Chen
17. A finite element method for the {\rm2}D drift-diffusion
semiconductor model, Mathematics of Computation: A Half-Century of
Computational Mathematics (Walter Gautschi, ed.),
Proc. Sympos. Appl. Math., Vol. 48, American
Mathematical Society, Providence, RI, 1994, 275--279.
Z. Chen
16. Finite element analysis for wave propagation in inhomogeneous
elastic media, A Tribute to Ilya Bakeman, I. Bakelman, et al.,
eds., Discourses in Mathematics and its Applications, Department of
Mathematics, Texas A$\&$M University, Texas, 1994, 121--134.
Z. Chen
15. Projection finite element methods for semiconductor device
equations, Computers Math. Applic., 25
(1993), 81--88.
Z. Chen
14. Analysis of mixed methods using conforming and nonconfirming
finite element methods, RAIRO Model. Math. Anal. Numer.,
27 (1993), 9--34.
Z. Chen
13. Runge-Kutta local projection
discontinuous Galerkin methods for conservation laws
and applications to the hydrodynamic device model, A Collection of
Technical Papers, 1993 Conference on Scientific and Engineering Computing for
Young Chinese Scientists, Computing Center, Academia Sinia,
ed., Vol.~1, 1993, 40--45.
Z. Chen
12. Finite element simulation of the hydrodynamic model for
semiconductor devices, Proceedings of the Sixth SIAM Conference on
Parallel Processing for Scientific Computing, R. F. Sincovec,
ed., Vol.~1, 1993, 228--236.
Z. Chen , Bernardo Cockburn,
Joseph W. Jerome and Chiwang Shu
11. A quasi-projection analysis for elastic wave propagation in fluid
saturated porous media, J. Comput. Math., 10
(1992), 366--375.
Z. Chen
10. Approximation of coefficients in hybrid and mixed methods for nonliner parabolic problems, Mat. Aplic. Comp., 10 (1991), 137--160.
Z. Chen and Jim Douglas, Jr.
9. Unified analysis of the hybrid form of mixed finite elements for
second order elliptic problems, J. Engng.
Math., 8 (1991), 91--102.
Z. Chen
8. Hybrid variable finite elements for semiconductor devices, Computers
Math. Applic., 19 (1990), 65--73.
Z. Chen
7. On the existence, uniqueness and convergence of nonlinear mixed
finite element methods, Mat. Aplic. Comp., 8
(1989), 241--258.
Z. Chen
6. Prismatic mixed finite elements for second order elliptic problems, Calcolo, 26 (1989), 135--148.
Z. Chen and Jim Douglas, Jr.
5. The convergence of the multigrid algorithm
for Navier-Stokes equations, J. Comput. Math., 5 (1987), 227--237.
Z. Chen and Kaitai Li
4. The multigrid algorithm for mixed
equations, Appl. Math. AJCU, 2 (1987), 49--63.
Z. Chen and Kaitai Li
3. On the relationship between mixed and Galerkin
finite element methods,
Z. Chen
2. Modeling of and numerical methods for compositional flow in
naturally fractured reservoirs, Army High Performance Computing
Research Center Technical Report 93--113, University of Minnesota, Minneapolis,
1993.
Z. Chen
1. On the finite element simulation of the hydrodynamic model for
semiconductor devices, Army High Performance Computing Research
Center, University, of Minnesota, Minneapolis, 1993, Graphics Product, 1992.
Z. Chen